Wind Turbine Rev 0.15
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Parameter Name Equation Units Comment Profile_1_Z 0.75 in Profile_2_Z 1.225 in Profile_3_Z 1.7 in Profile_4_Z 2.175 in Profile_5_Z 2.65 in Profile_6_Z 3.125 in Profile_7_Z 3.6 in Profile_8_Z 4.075 in Profile_9_Z 4.55 in Profile_10_Z 5.025 in Profile_11_Z 5.5 in Profile_1_Origin_X 1.0026014 in Profile_1_Point_1_X 1.0037437 in Profile_1_Point_2_X 1.0197828 in Profile_1_Point_3_X 1.0955483 in Profile_1_Point_4_X 1.2052662 in Profile_1_Point_5_X 1.3596593 in Profile_1_Point_6_X 1.468484 in Profile_1_Point_7_X 1.5504941 in Profile_1_Point_8_X 1.6084057 in Profile_1_Point_9_X 1.6320086 in Profile_1_Point_10_X 1.5923799 in Profile_1_Point_11_X 1.4808482 in Profile_1_Point_12_X 1.3388062 in Profile_1_Point_13_X 1.1994074 in Profile_1_Point_14_X 1.063227 in Profile_1_Point_15_X 1.0064341 in Profile_1_Point_16_X 1 in Profile_1_Origin_Y 1.7772532 in Profile_1_Point_1_Y 1.7780007 in Profile_1_Point_2_Y 1.7801001 in Profile_1_Point_3_Y 1.7463118 in Profile_1_Point_4_Y 1.6576356 in Profile_1_Point_5_Y 1.4894334 in Profile_1_Point_6_Y 1.3322342 in Profile_1_Point_7_Y 1.1749286 in Profile_1_Point_8_Y 1.0503221 in Profile_1_Point_9_Y 1 in Profile_1_Point_10_Y 1.0458463 in Profile_1_Point_11_Y 1.1500643 in Profile_1_Point_12_Y 1.2832551 in Profile_1_Point_13_Y 1.4319666 in Profile_1_Point_14_Y 1.6085727 in Profile_1_Point_15_Y 1.7165776 in Profile_1_Point_16_Y 1.7734968 in Profile_2_Origin_X 1.0017635 in Profile_2_Point_1_X 1.0027255 in
description
Design and 3D print a wind turbine blade. Intended for high school students.
Transcript of Wind Turbine Rev 0.15
Parameter Name Equation Units Comment
Profile_1_Z 0.75 in
Profile_2_Z 1.225 in
Profile_3_Z 1.7 in
Profile_4_Z 2.175 in
Profile_5_Z 2.65 in
Profile_6_Z 3.125 in
Profile_7_Z 3.6 in
Profile_8_Z 4.075 in
Profile_9_Z 4.55 inProfile_10_Z 5.025 in
Profile_11_Z 5.5 in
Profile_1_Origin_X 1.0026014 in
Profile_1_Point_1_X 1.0037437 in
Profile_1_Point_2_X 1.0197828 in
Profile_1_Point_3_X 1.0955483 in
Profile_1_Point_4_X 1.2052662 in
Profile_1_Point_5_X 1.3596593 in
Profile_1_Point_6_X 1.468484 in
Profile_1_Point_7_X 1.5504941 in
Profile_1_Point_8_X 1.6084057 in
Profile_1_Point_9_X 1.6320086 in
Profile_1_Point_10_X 1.5923799 in
Profile_1_Point_11_X 1.4808482 in
Profile_1_Point_12_X 1.3388062 in
Profile_1_Point_13_X 1.1994074 in
Profile_1_Point_14_X 1.063227 in
Profile_1_Point_15_X 1.0064341 inProfile_1_Point_16_X 1 in
Profile_1_Origin_Y 1.7772532 in
Profile_1_Point_1_Y 1.7780007 in
Profile_1_Point_2_Y 1.7801001 in
Profile_1_Point_3_Y 1.7463118 in
Profile_1_Point_4_Y 1.6576356 in
Profile_1_Point_5_Y 1.4894334 in
Profile_1_Point_6_Y 1.3322342 in
Profile_1_Point_7_Y 1.1749286 in
Profile_1_Point_8_Y 1.0503221 in
Profile_1_Point_9_Y 1 in
Profile_1_Point_10_Y 1.0458463 in
Profile_1_Point_11_Y 1.1500643 in
Profile_1_Point_12_Y 1.2832551 in
Profile_1_Point_13_Y 1.4319666 in
Profile_1_Point_14_Y 1.6085727 in
Profile_1_Point_15_Y 1.7165776 inProfile_1_Point_16_Y 1.7734968 in
Profile_2_Origin_X 1.0017635 in
Profile_2_Point_1_X 1.0027255 in
Profile_2_Point_2_X 1.0179776 in
Profile_2_Point_3_X 1.0991124 in
Profile_2_Point_4_X 1.2248695 in
Profile_2_Point_5_X 1.41086 in
Profile_2_Point_6_X 1.5499902 in
Profile_2_Point_7_X 1.6629138 in
Profile_2_Point_8_X 1.745467 in
Profile_2_Point_9_X 1.7790167 in
Profile_2_Point_10_X 1.7307221 in
Profile_2_Point_11_X 1.5999594 in
Profile_2_Point_12_X 1.4333294 in
Profile_2_Point_13_X 1.266058 in
Profile_2_Point_14_X 1.096135 in
Profile_2_Point_15_X 1.0181276 in
Profile_2_Point_16_X 1 in
Profile_2_Origin_Y 1.6294072 in
Profile_2_Point_1_Y 1.6303759 in
Profile_2_Point_2_Y 1.6357641 in
Profile_2_Point_3_Y 1.6184667 in
Profile_2_Point_4_Y 1.55454 in
Profile_2_Point_5_Y 1.4221135 in
Profile_2_Point_6_Y 1.2909754 in
Profile_2_Point_7_Y 1.1541582 in
Profile_2_Point_8_Y 1.0443152 in
Profile_2_Point_9_Y 1 in
Profile_2_Point_10_Y 1.0366051 in
Profile_2_Point_11_Y 1.115357 in
Profile_2_Point_12_Y 1.2161051 in
Profile_2_Point_13_Y 1.3325843 in
Profile_2_Point_14_Y 1.4770175 in
Profile_2_Point_15_Y 1.5708544 in
Profile_2_Point_16_Y 1.6251921 in
Profile_3_Origin_X 1 in
Profile_3_Point_1_X 1.0116239 in
Profile_3_Point_2_X 1.0258453 in
Profile_3_Point_3_X 1.1086872 in
Profile_3_Point_4_X 1.2428963 in
Profile_3_Point_5_X 1.4473131 in
Profile_3_Point_6_X 1.6052448 in
Profile_3_Point_7_X 1.7381811 in
Profile_3_Point_8_X 1.8369012 in
Profile_3_Point_9_X 1.8769702 in
Profile_3_Point_10_X 1.8235439 in
Profile_3_Point_11_X 1.6820716 in
Profile_3_Point_12_X 1.5017327 in
Profile_3_Point_13_X 1.3182992 in
Profile_3_Point_14_X 1.1278739 in
Profile_3_Point_15_X 1.0361477 in
Profile_3_Point_16_X 1.0097429 in
Profile_3_Origin_Y 1.506319 in
Profile_3_Point_1_Y 1.5011762 in
Profile_3_Point_2_Y 1.5088841 in
Profile_3_Point_3_Y 1.5044919 in
Profile_3_Point_4_Y 1.4610249 in
Profile_3_Point_5_Y 1.3593242 in
Profile_3_Point_6_Y 1.2515654 in
Profile_3_Point_7_Y 1.1340977 in
Profile_3_Point_8_Y 1.0385212 in
Profile_3_Point_9_Y 1 in
Profile_3_Point_10_Y 1.0285995 in
Profile_3_Point_11_Y 1.0859261 in
Profile_3_Point_12_Y 1.1593671 in
Profile_3_Point_13_Y 1.2482452 in
Profile_3_Point_14_Y 1.3643184 in
Profile_3_Point_15_Y 1.4447969 in
Profile_3_Point_16_Y 1.4956299 in
Profile_4_Origin_X 1 in
Profile_4_Point_1_X 1.0236704 in
Profile_4_Point_2_X 1.0368464 in
Profile_4_Point_3_X 1.119606 in
Profile_4_Point_4_X 1.2581121 in
Profile_4_Point_5_X 1.4733993 in
Profile_4_Point_6_X 1.6432864 in
Profile_4_Point_7_X 1.7895474 in
Profile_4_Point_8_X 1.8991796 in
Profile_4_Point_9_X 1.9436445 in
Profile_4_Point_10_X 1.887131 in
Profile_4_Point_11_X 1.7397269 in
Profile_4_Point_12_X 1.5517819 in
Profile_4_Point_13_X 1.3588843 in
Profile_4_Point_14_X 1.1557326 in
Profile_4_Point_15_X 1.0548822 in
Profile_4_Point_16_X 1.0224793 in
Profile_4_Origin_Y 1.4005533 in
Profile_4_Point_1_Y 1.3919813 in
Profile_4_Point_2_Y 1.4013649 in
Profile_4_Point_3_Y 1.4071014 in
Profile_4_Point_4_Y 1.3803144 in
Profile_4_Point_5_Y 1.3042838 in
Profile_4_Point_6_Y 1.2165753 in
Profile_4_Point_7_Y 1.116184 in
Profile_4_Point_8_Y 1.0333509 in
Profile_4_Point_9_Y 1 in
Profile_4_Point_10_Y 1.0218753 in
Profile_4_Point_11_Y 1.0615334 in
Profile_4_Point_12_Y 1.1124492 in
Profile_4_Point_13_Y 1.1783099 in
Profile_4_Point_14_Y 1.270311 in
Profile_4_Point_15_Y 1.339011 in
Profile_4_Point_16_Y 1.3862471 in
Profile_5_Origin_X 1 in
Profile_5_Point_1_X 1.0363905 in
Profile_5_Point_2_X 1.0485135 in
Profile_5_Point_3_X 1.1302201 in
Profile_5_Point_4_X 1.2707675 in
Profile_5_Point_5_X 1.4928227 in
Profile_5_Point_6_X 1.6709471 in
Profile_5_Point_7_X 1.8269007 in
Profile_5_Point_8_X 1.9445907 in
Profile_5_Point_9_X 1.9922982 in
Profile_5_Point_10_X 1.9338076 in
Profile_5_Point_11_X 1.7830656 in
Profile_5_Point_12_X 1.5908281 in
Profile_5_Point_13_X 1.3921028 in
Profile_5_Point_14_X 1.1804473 in
Profile_5_Point_15_X 1.0729683 in
Profile_5_Point_16_X 1.0358054 in
Profile_5_Origin_Y 1.303376 in
Profile_5_Point_1_Y 1.2936705 in
Profile_5_Point_2_Y 1.30438 in
Profile_5_Point_3_Y 1.3187357 in
Profile_5_Point_4_Y 1.3065733 in
Profile_5_Point_5_Y 1.2534629 in
Profile_5_Point_6_Y 1.1839929 in
Profile_5_Point_7_Y 1.09944 in
Profile_5_Point_8_Y 1.0285204 in
Profile_5_Point_9_Y 1 in
Profile_5_Point_10_Y 1.0158482 in
Profile_5_Point_11_Y 1.0398811 in
Profile_5_Point_12_Y 1.0708724 in
Profile_5_Point_13_Y 1.116209 in
Profile_5_Point_14_Y 1.186471 in
Profile_5_Point_15_Y 1.2442529 in
Profile_5_Point_16_Y 1.2878432 in
Profile_6_Origin_X 1 in
Profile_6_Point_1_X 1.0491145 in
Profile_6_Point_2_X 1.0593263 in
Profile_6_Point_3_X 1.1317819 in
Profile_6_Point_4_X 1.2587299 in
Profile_6_Point_5_X 1.4614271 in
Profile_6_Point_6_X 1.62571 in
Profile_6_Point_7_X 1.7710346 in
Profile_6_Point_8_X 1.8811499 in
Profile_6_Point_9_X 1.9257726 in
Profile_6_Point_10_X 1.8722644 in
Profile_6_Point_11_X 1.7354182 in
Profile_6_Point_12_X 1.5608803 in
Profile_6_Point_13_X 1.3796169 in
Profile_6_Point_14_X 1.1851799 in
Profile_6_Point_15_X 1.0850568 in
Profile_6_Point_16_X 1.048955 in
Profile_6_Origin_Y 1.2137314 in
Profile_6_Point_1_Y 1.203647 in
Profile_6_Point_2_Y 1.2140231 in
Profile_6_Point_3_Y 1.2320414 in
Profile_6_Point_4_Y 1.2299456 in
Profile_6_Point_5_Y 1.1962035 in
Profile_6_Point_6_Y 1.1450155 in
Profile_6_Point_7_Y 1.0788942 in
Profile_6_Point_8_Y 1.0226107 in
Profile_6_Point_9_Y 1 in
Profile_6_Point_10_Y 1.0105566 in
Profile_6_Point_11_Y 1.0226698 in
Profile_6_Point_12_Y 1.0384252 in
Profile_6_Point_13_Y 1.0666526 in
Profile_6_Point_14_Y 1.1164464 in
Profile_6_Point_15_Y 1.1615758 in
Profile_6_Point_16_Y 1.1983784 in
Profile_7_Origin_X 1 in
Profile_7_Point_1_X 1.0618107 in
Profile_7_Point_2_X 1.06932 in
Profile_7_Point_3_X 1.1248636 in
Profile_7_Point_4_X 1.223551 in
Profile_7_Point_5_X 1.3823618 in
Profile_7_Point_6_X 1.5120459 in
Profile_7_Point_7_X 1.6276127 in
Profile_7_Point_8_X 1.7154317 in
Profile_7_Point_9_X 1.7510111 in
Profile_7_Point_10_X 1.7090209 in
Profile_7_Point_11_X 1.6022378 in
Profile_7_Point_12_X 1.4660307 in
Profile_7_Point_13_X 1.3240923 in
Profile_7_Point_14_X 1.1710439 in
Profile_7_Point_15_X 1.0914401 in
Profile_7_Point_16_X 1.0619013 in
Profile_7_Origin_Y 1.1324235 in
Profile_7_Point_1_Y 1.12249 in
Profile_7_Point_2_Y 1.1309649 in
Profile_7_Point_3_Y 1.1479093 in
Profile_7_Point_4_Y 1.151449 in
Profile_7_Point_5_Y 1.133492 in
Profile_7_Point_6_Y 1.100421 in
Profile_7_Point_7_Y 1.0549794 in
Profile_7_Point_8_Y 1.0157456 in
Profile_7_Point_9_Y 1 in
Profile_7_Point_10_Y 1.0060213 in
Profile_7_Point_11_Y 1.0098594 in
Profile_7_Point_12_Y 1.0149921 in
Profile_7_Point_13_Y 1.0295382 in
Profile_7_Point_14_Y 1.0602989 in
Profile_7_Point_15_Y 1.0912759 in
Profile_7_Point_16_Y 1.1183914 in
Profile_8_Origin_X 1 in
Profile_8_Point_1_X 1.0746104 in
Profile_8_Point_2_X 1.0802547 in
Profile_8_Point_3_X 1.1239193 in
Profile_8_Point_4_X 1.2026128 in
Profile_8_Point_5_X 1.3302391 in
Profile_8_Point_6_X 1.4352289 in
Profile_8_Point_7_X 1.5294582 in
Profile_8_Point_8_X 1.6012598 in
Profile_8_Point_9_X 1.6303435 in
Profile_8_Point_10_X 1.5965453 in
Profile_8_Point_11_X 1.5110752 in
Profile_8_Point_12_X 1.402044 in
Profile_8_Point_13_X 1.2880399 in
Profile_8_Point_14_X 1.164481 in
Profile_8_Point_15_X 1.0995882 in
Profile_8_Point_16_X 1.0748543 in
Profile_8_Origin_Y 1.0773965 in
Profile_8_Point_1_Y 1.0690017 in
Profile_8_Point_2_Y 1.0760868 in
Profile_8_Point_3_Y 1.0919493 in
Profile_8_Point_4_Y 1.098909 in
Profile_8_Point_5_Y 1.0912124 in
Profile_8_Point_6_Y 1.0702215 in
Profile_8_Point_7_Y 1.0387567 in
Profile_8_Point_8_Y 1.0110895 in
Profile_8_Point_9_Y 1 in
Profile_8_Point_10_Y 1.0030524 in
Profile_8_Point_11_Y 1.0016477 in
Profile_8_Point_12_Y 1.0000455 in
Profile_8_Point_13_Y 1.0057236 in
Profile_8_Point_14_Y 1.0238905 in
Profile_8_Point_15_Y 1.0453052 in
Profile_8_Point_16_Y 1.0657311 in
Profile_9_Origin_X 1 in
Profile_9_Point_1_X 1.0872847 in
Profile_9_Point_2_X 1.0917152 in
Profile_9_Point_3_X 1.127106 in
Profile_9_Point_4_X 1.1915081 in
Profile_9_Point_5_X 1.2965009 in
Profile_9_Point_6_X 1.3832917 in
Profile_9_Point_7_X 1.4615492 in
Profile_9_Point_8_X 1.5212863 in
Profile_9_Point_9_X 1.5454798 in
Profile_9_Point_10_X 1.5176464 in
Profile_9_Point_11_X 1.4475219 in
Profile_9_Point_12_X 1.358061 in
Profile_9_Point_13_X 1.2643091 in
Profile_9_Point_14_X 1.1623553 in
Profile_9_Point_15_X 1.1084691 in
Profile_9_Point_16_X 1.0875788 in
Profile_9_Origin_Y 1.0542307 in
Profile_9_Point_1_Y 1.0472215 in
Profile_9_Point_2_Y 1.0531996 in
Profile_9_Point_3_Y 1.0674733 in
Profile_9_Point_4_Y 1.0754427 in
Profile_9_Point_5_Y 1.072783 in
Profile_9_Point_6_Y 1.0585608 in
Profile_9_Point_7_Y 1.0354318 in
Profile_9_Point_8_Y 1.0147774 in
Profile_9_Point_9_Y 1.0065074 in
Profile_9_Point_10_Y 1.0080443 in
Profile_9_Point_11_Y 1.004441 in
Profile_9_Point_12_Y 1 in
Profile_9_Point_13_Y 1.0013931 in
Profile_9_Point_14_Y 1.0127648 in
Profile_9_Point_15_Y 1.0284844 in
Profile_9_Point_16_Y 1.0445435 in
Profile_10_Origin_X 1 in
Profile_10_Point_1_X 1.0999444 in
Profile_10_Point_2_X 1.1035215 in
Profile_10_Point_3_X 1.1330861 in
Profile_10_Point_4_X 1.1874189 in
Profile_10_Point_5_X 1.2764589 in
Profile_10_Point_6_X 1.3504184 in
Profile_10_Point_7_X 1.4174112 in
Profile_10_Point_8_X 1.4686381 in
Profile_10_Point_9_X 1.4893822 in
Profile_10_Point_10_X 1.4657532 in
Profile_10_Point_11_X 1.4064426 in
Profile_10_Point_12_X 1.330773 in
Profile_10_Point_13_X 1.2512948 in
Profile_10_Point_14_X 1.164572 in
Profile_10_Point_15_X 1.1184486 in
Profile_10_Point_16_X 1.1002728 in
Profile_10_Origin_Y 1.0383003 in
Profile_10_Point_1_Y 1.0335929 in
Profile_10_Point_2_Y 1.0387893 in
Profile_10_Point_3_Y 1.0519307 in
Profile_10_Point_4_Y 1.0605888 in
Profile_10_Point_5_Y 1.0614418 in
Profile_10_Point_6_Y 1.0519593 in
Profile_10_Point_7_Y 1.0346773 in
Profile_10_Point_8_Y 1.0189442 in
Profile_10_Point_9_Y 1.0126529 in
Profile_10_Point_10_Y 1.0131315 in
Profile_10_Point_11_Y 1.0080035 in
Profile_10_Point_12_Y 1.0015936 in
Profile_10_Point_13_Y 1 in
Profile_10_Point_14_Y 1.0066186 in
Profile_10_Point_15_Y 1.0183436 in
Profile_10_Point_16_Y 1.0313325 in
Profile_11_Origin_X 1 in
Profile_11_Point_1_X 1.1124908 in
Profile_11_Point_2_X 1.115351 in
Profile_11_Point_3_X 1.1394172 in
Profile_11_Point_4_X 1.1838672 in
Profile_11_Point_5_X 1.2569023 in
Profile_11_Point_6_X 1.3177136 in
Profile_11_Point_7_X 1.3729211 in
Profile_11_Point_8_X 1.4151723 in
Profile_11_Point_9_X 1.4322807 in
Profile_11_Point_10_X 1.4128889 in
Profile_11_Point_11_X 1.3643046 in
Profile_11_Point_12_X 1.302318 in
Profile_11_Point_13_X 1.2371379 in
Profile_11_Point_14_X 1.1658967 in
Profile_11_Point_15_X 1.1278897 in
Profile_11_Point_16_X 1.1127925 in
Profile_11_Origin_Y 1.0288852 in
Profile_11_Point_1_Y 1.0253919 in
Profile_11_Point_2_Y 1.0297061 in
Profile_11_Point_3_Y 1.0409106 in
Profile_11_Point_4_Y 1.0487916 in
Profile_11_Point_5_Y 1.0507665 in
Profile_11_Point_6_Y 1.0440462 in
Profile_11_Point_7_Y 1.0308276 in
Profile_11_Point_8_Y 1.018654 in
Profile_11_Point_9_Y 1.0137897 in
Profile_11_Point_10_Y 1.013844 in
Profile_11_Point_11_Y 1.0087877 in
Profile_11_Point_12_Y 1.0024455 in
Profile_11_Point_13_Y 1 in
Profile_11_Point_14_Y 1.0041879 in
Profile_11_Point_15_Y 1.0131465 in
Profile_11_Point_16_Y 1.0235422 in
Mount_Profile_1_Z 0.125 in
Mount_Profile_2_Z 0.5 in
Mount_Profile_1_Diameter 0.375 in
Mount_Profile_2_Diameter 0.375 in
Mount_Profile_2_Rail_Angle_0 73.703175 deg
Mount_Profile_2_Rail_Angle_1 157.90069 deg
Mount_Profile_2_Rail_Angle_2 134.11134 deg
Mount_Profile_2_Rail_Angle_3 106.29092 deg
Mount_Profile_2_Rail_Angle_4 94.153059 deg
Mount_Profile_2_Rail_Angle_5 85.831338 deg
Mount_Profile_2_Rail_Angle_6 81.015273 deg
Mount_Profile_2_Rail_Angle_7 76.99378 deg
Mount_Profile_2_Rail_Angle_8 74.510068 deg
Mount_Profile_2_Rail_Angle_9 73.703175 deg
Mount_Profile_2_Rail_Angle_10 73.584551 deg
Mount_Profile_2_Rail_Angle_11 72.029578 deg
Mount_Profile_2_Rail_Angle_12 68.941564 deg
Mount_Profile_2_Rail_Angle_13 64.385397 deg
Mount_Profile_2_Rail_Angle_14 54.472165 deg
Mount_Profile_2_Rail_Angle_15 38.317579 deg
Mount_Profile_2_Rail_Angle_16 0 deg
Gear_Pin_Diameter 0.0625 in
Gear_Module 0.03125 ul m, default = 5
Gear_Profile_Coefficient 1 ul r_c*, do not change
Gear_Modification 0.3 ul x, default = .3
Gear_Tooth_Count 15 ul
Gear_PD 0.4375 in
Gear_ID 0.415625 in
Gear_OD 0.459375 in
Original Dimensions min shifted (conditional)
0 -0.002601355 1.002601355
0.001142368 -0.002601355 1.003743723
0.017181441 -0.002601355 1.019782797
0.092946938 -0.002601355 1.095548293
0.20266481 -0.002601355 1.205266166
0.357057988 -0.002601355 1.359659343
0.465882681 -0.002601355 1.468484037
0.547892703 -0.002601355 1.550494058
0.605804332 -0.002601355 1.608405688
0.629407249 -0.002601355 1.632008605
0.589778589 -0.002601355 1.592379944
0.478246821 -0.002601355 1.480848176
0.336204831 -0.002601355 1.338806187
0.196806028 -0.002601355 1.199407383
0.06062563 -0.002601355 1.063226986
0.003832703 -0.002601355 1.006434058
-0.002601355 -0.002601355 1
0 -0.777253222 1.777253222
0.000747474 -0.777253222 1.778000697
0.002846884 -0.777253222 1.780100107
-0.030941404 -0.777253222 1.746311818
-0.119617596 -0.777253222 1.657635627
-0.287819811 -0.777253222 1.489433411
-0.445018996 -0.777253222 1.332234227
-0.602324598 -0.777253222 1.174928624
-0.72693108 -0.777253222 1.050322143
-0.777253222 -0.777253222 1
-0.731406964 -0.777253222 1.045846258
-0.627188901 -0.777253222 1.150064322
-0.493998091 -0.777253222 1.283255131
-0.345286587 -0.777253222 1.431966636
-0.168680552 -0.777253222 1.60857267
-0.060675657 -0.777253222 1.716577565
-0.003756389 -0.777253222 1.773496833
0 -0.001763512 1.001763512
0.000961996 -0.001763512 1.002725508
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Mount_Profile_1_Z Mount _ Profile _
x(t) Gear_Module/2*((Gear_Tooth_Count+1)*sin(t)-(1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)-sin(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
y(t) Gear_Module/2*((Gear_Tooth_Count+1)*cos(t)-(1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)-cos(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
1 _ Z
Gear_Module/2*((Gear_Tooth_Count+1)*sin(t)-(1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)-sin(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
Gear_Module/2*((Gear_Tooth_Count+1)*cos(t)-(1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)-cos(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
Gear_Module/2*((Gear_Tooth_Count+1)*sin(t)-(1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*sin((Gear_Tooth_Count+1)*t)-sin(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
Gear_Module/2*((Gear_Tooth_Count+1)*cos(t)-(1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)+(2*Gear_Profile_Coefficient*((1-Gear_Modification)*cos((Gear_Tooth_Count+1)*t)-cos(t))/sqrt(1-2*(1-Gear_Modification)*cos(Gear_Tooth_Count*t)+(1-Gear_Modification)^2)))
Description
Fields are color coded by information type.
InputOutputFrom other sheetInformation / Notes
Group Name Project Revision
Group Members1) Group Leader
2)3)4)5)6)
End of Spreadsheet
Number
1
Date
12/11/2014
This spreadsheet can be used to help design a wind turbine blade. Please use this tab (Worksheet) for your design. There are other tabs in which all the calculations are
done, but the actual design data will be pulled from this tab.
Text
Started the project
Please fill out all yellow fields. Every time you make changes, please up the revision.
Comment
1
Wind TurbineBlade DesignCover Page
Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
12/17/2014
8:30 AM 254995391.xlsx.ms_office / Cover PagePage 37
of 55
Step 1: The Problem
End of Spreadsheet
A 2-part hub (3D printed vertically), 2 blades (3D printed vertically), 5-volt output
Group Name 0 Sheet Rev. Date
In any engineering project, the first step is to define the problem. Joe's Miniature Farms has sent Mr. H. the following letter:Dear Mr. H.,
Our company, "Joe's Miniature Farms" builds miniature farms all over the world. We build the most beautiful farms; you should see them lit up at night. Unfortunately,
some of these farms are far enough from civilization that we cannot get electricity to them. Farms need lots of electricity, and we would like to provide our customers
with an optional miniature windmill. Our farms have an electric pump to fill our miniature water troughs and irrigate our baby corn fields. The pump needs 5 volts to
power it.
Please design a 5-volt wind turbine to be 3D printed. Joe's Miniature farms has already contacted another company to design a wind turbine base. We need you to
design a hub and blades. Please design us a 5 volt wind turbine that can be 3D printed. Because we are just simple farmer's we want 4 pieces: a 2-part hub, and 2 blades
(to be printed vertically on our Replicator 2 printer)
Thanks,
Joe Schmall
11/10/2014 Project Rev. Date 12/11/2014
Build wind turbine blades and a hub that can generate as much power as possible. The pieces need to be printed vertically on a Replicator 2.
B) Is there anything Joe may have missed in his request?
The farms are lit at night - what about that power requirement? What amperage does Joe need?
Group Members Sheet Rev. No. 0.15 Project Rev. Date 1
Wind TurbineBlade Design
Worksheet - 1
Joe has asked for a windmill that can provide 5 volts, but is that what he really needs? Is the problem over constrained?
C) Please write your own problem description:
A) What did Joe ask for?
12/17/2014
8:30 AM 254995391.xlsx.ms_office / Worksheet - 1Page 38
of 55
Step 2: Constraints
Step 3: Independent variables and constants
Independent Variables Constants
Blade length ul
Blade width miles to inches in/mileAirfoil profile hours to seconds sec/hrSweep angle rotations to radians rad/rotationWind speed in to ft ft/inAir density kilogram to pounds lb/kgRotation speed cubic meter to cubic inch in^3/m^3
Air Density kg/m^3
Wind velocity mph
Rotation speed rpm
End of Spreadsheet
61023.7
633603600
6.283185307
1000
To fill out the rest of our independent variables, we need some more background information.
"Wow," most engineers say at this moment, "I don't even know where to start!" Don't fear student, engineers have tricks for this problem as well. Many times, it is helpful
to look at just the environmental variables. Assuming the turbine will be designed to work with Mr. H.'s fan, in Mr. H.'s classroom, we can get wind velocity and air density.
1.225
Let's start with air density. Air density can be calculated from the barometric pressure and the temperature. It is, however, easier to just look it up.
On to wind velocity. The wind velocity of Mr. H.'s fan can be measured with an Anemometer, but it is also easier in this case to just ask Mr. H.
10
Next we need to know the rotation speed. This is one of those guess-and-check variables. The rotation speed is dependent on lots of variables, such as the wind
characteristics, and the general blade design, but it is also needed to calculate many of the variables needed to do the design. An engineer would use a method called
"steady-state convergence," where he or she will guess at the rotation speed (or any other variable), and a program will keep repeating the calculations until the calculated
rotation speed stops changing. If the engineer cannot find formulas to do the calculation, he or she has to build models to measure.
Luckily, we don’t have to build a model to measure; Mr. H. measured last year's turbines.
Once the problem has been defined, we need to list constraints. These include physical, environmental, construction, and many other categories.
pi 3.14
0.0833333332.20462
1) The size of the printer, 2) The amount of energy we can get out of the air, 3) Time, 4) Materials
A) Please list at least 4 possible constraints.
When engineers start a detailed design, they begin by listing quantitative constraints. Sometimes it's had to figure out what the constraints are, but engineers have a secret
method. They list all the equations that might need to model a system, and list the variables. Variables can either be dependent (calculated) or independent (you can look
them up or guess-and-check). Independent variables are the constraints, and once they are listed out, they can be defined with numbers. At this point, engineers usually
also list constants.
Mr. H. has already gone through the equations and pulled out the independent variables and the constants.
1
Wind TurbineBlade Design
Worksheet - 2Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
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Step 4: Blade Length
Max Blade Length inchA) Blade length inch
Step 6: Theoretical Power Production
End of Spreadsheet
5.5
Future - Add theoretical power calculations to worksheet
A) Using the blade length above, calculate the theoretical power generation.
In general, the bigger you can make a blade, the more energy it can extract. Unfortunately, a wind turbine engineer cannot just make an infinitely large blade; he or she has
constraints. The engineer has to consider the budget, the maximum footprint, and the available materials. When making extremely large blades, an engineer will have to
make sure the blade tip goes slower than the speed of sound, that the blades can support themselves, and that the blades can fit on trucks for transport.
For this project, The limiting factor for blade length is the 3D printer's print envelope. Blade length is measured from the center of blade rotation to the tip of the blade.
Please choose a blade length
5.5
1
Wind TurbineBlade Design
Worksheet - 3Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
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Step 5: Choose an airfoil profile
End of Spreadsheet
NACA 63-215
An airfoil profile is always defined by drawing a line from the very front point of a blade to the very back point. This line is used as an angle reference. Below, our blade
length is one unit long. This is called a unit length and will make calculations and blade scaling much easier.
When the profile was chosen above, the "Profile Correction Calculations" tab was given the blade profile information. This graph was also using the same information.
Airfoil profiles are very important to wind turbine design. Profiles handle low wind, high wind, and gusts differently. They also have different drag and lift properties, and
react wildly different depending on the angle of attack. For this project, we will be using pre-determined profiles because our calculations will depend on experimentally
determined lift and drag numbers.
A) Please choose a profile from the dropdown.
1
Wind TurbineBlade Design
Worksheet - 4Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
0 1
Blade Profile
NACA 63-215
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Step 7: Angle of Attack
Ideal attack angle degrees
End of Spreadsheet
15
Group Members Sheet Rev. No. 0.15
11/10/2014 Project Rev. Date 12/11/2014
When air moves over an airfoil, engineers like to break the reaction generated into two
forces; lift and drag. Drag is a force in the direction of the wind, and lift is any force
perpendicular to the wind. If we add these forces together, we get the total force. We
want our airfoil to produce the greatest possible force.
A) What angle (on the graph below) has the greatest total force ?
Project Rev. Date 1
Wind TurbineBlade Design
Worksheet - 5Group Name 0 Sheet Rev. Date
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Forc
e M
ult
iplie
r [u
nit
less
]
Angle of Attack [degree]
Total Force
Drag
Lift
Total
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Step 8: Twist
PointDistance from hub to point [in]Angle of apparent wind [deg]Correction angle [deg] *must be 0 to -90 degApparent angle of attack [deg]Ideal angle of attack [deg] 15 15 15
A) Choose correction angles at 11 points along the blade to get the apparent angle of attack close to the ideal angle of attack.
15 15 15 15 15 15 15 15
114.05 126.09 135.33 142.313.125 3.6 5.5
147.62 151.73 154.97 157.59 159.734.075 4.55 5.025
161.51 163.010.75 1.225 1.7 2.175 2.65
-51 -39 -30 -23 -17
111 2 3 4 5 6 7 8
14.992-10 -7 -5 -3 -2
Imagine you are riding a bike. The faster you pedal, the more (man made) wind you feel on your face. Now, imagine you are
riding with wind blowing at you from the right. Just like forces, the man made wind, and true wind combine into a resultant
wind.
Now, think of a wind turbine. At the very center of rotation, the blade barely moves, but as you
move towards the tip, the blade it's self moves quite fast. Your blade profile has an ideal angle
with respect to the wind. To correct for the changing wind direction as we move towards the tip,
we twist the blade.
Engineers will use fancy programs to calculate the apparent angle of the wind at hundreds
to points along the blade. For this project, we will use just eleven points. To calculate the
apparent angle of the wind, we find out how fast a point on the blade is moving. There
will be a man-made wind going that speed, in the opposite direction. Just like with the
bike example, we add the man-made wind and the true wind together to get the resultant
wind.
15.272 15.026 15.413 15.273 15.49314.951 14.913 14.673 14.694 15.384-13
9 10
1
Wind TurbineBlade Design
Worksheet - 6Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
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1
Wind TurbineBlade Design
Worksheet - 6Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
End of Spreadsheet
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Step 9: Sweep
PointDistance of sweep from leading edge
End of Spreadsheet
8 9
Wind turbine blades have a sweep to help with efficiency. It is very difficult to
calculate the ideal sweep, so for this project, the sweep is fixed.
1 2 3 4 10 110 0 0.0125 0.025 0.0375 0.05 0.0625 0.075 0.0875 0.1 0.1125
5 6 7
1
Wind TurbineBlade Design
Worksheet - 7Group Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Group Members Sheet Rev. No. 0.15 Project Rev. Date
0 1 2 3 4 5 6
Blade (Top view, no twist)
Leading Edge Trailing Edge
Left Side Right Side
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Step 10: Blade width
Max blade width inch
Point
Distance from leading to trailing edge
End of Spreadsheet
0.39
2 3 4
0.32
5 6 9
0.7 0.56 0.46
8 10 11
0.9
0 Sheet Rev. Date
1 1 1
7
1 1
1
1
11/10/2014 Project Rev. Date
A) Adjust the leading to trailing edge distances to make get the most spin force - but don't get more than 0.5 lb of spin normal force. Also, don't make the profile any wider
12/11/2014
Have you ever noticed the wind turbine blades taper towards the tip? It would actually be more efficient to make the blade as wide as possible at the tip, but engineers
Group Members Sheet Rev. No. 0.15 Project Rev. Date 1
Wind TurbineBlade Design
Worksheet - 8Group Name
0
0.1
0.2
0.3
0.4
0.5
0.6
0 1 2 3 4 5 6
Forc
e [
lb]
Position from Hub [in]
Forces
Spin Force
Spin Normal
0
50
100
150
200
250
300
350
400
450
0 1 2 3 4 5 6
Stre
ss [
lb/i
n^2
]
Position from Hub [in]
Weak-Axis Stress
Weak Axis Stress
0 1 2 3 4 5 6
Blade (Top view, no twist)
Leading Edge Trailing Edge
Left Side Right Side
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Description
Blade ProfileProfile Name
Extents
X unitY unit
X unitY unit
Scale FactorDesired delta X unitCurrent delta X unitScale Factor unit/unit
Scaled profile
Centered for graph
Centered about origin
Vector definitaions of points
Blade Slice 1Slice numberAngle for geometry deg rad
Angle for lift/drag deg rad
Width in
X offset in
Y offset in
Z offset in
Geometry
Geometry with wind corrected angle (not for drafting)
NACA 63-215
After offset Y0 0.0011 0.0172 0.0929 0.2027 0.3571 0.4659
2 3 4 5 6
0 -2E-04
Point Number
Point NumberX [unit]Y [unit]
Point NumberX [unit]Y [unit]
Point Number
Length [unit]
Angle [rad]
Point Number
X [unit]
Y [unit]
Point NumberOriginal angle [rad]Angle for lift/drag [rad]Rotated & Scaled X [in]
Original angle [rad]Angle for geometry [rad]Rotated & Scaled X [in]Rotated & Scaled Y [in]After offset X
0.3955 0.1787 0.057 0.00240.7733 0.9107 0.9663 0.9083 0.7676 0.58810.0044 0.0661 0.1918 0.4083 0.5962
0 0.0007 0.0028 -0.031 -0.12 -0.288
-0.075 -0.357 -1.025-0.336 -0.618 -1.286
14 15 160.1276
8 9 10 11 12 13Orig 1
-0.169 -0.061 -0.004
0 0.0011 0.0172 0.0929 0.2027 0.3571 0.4659
0.275 0.2609 0.2589 0.2317 0.1778 0.09830.2609 1.7305 1.3153 0.8297 0.6179 0.4726 0.38860.0141 0 -0.002 -0.029 -0.083 -0.1630 1.4695 1.0543 0.5688 0.3569 0.2117
-0.494 -0.3450.0606 0.0038 -0.003
0 0.0007 0.0028 -0.031 -0.12 -0.288 -0.4450.6058 0.6294 0.5898 0.4782 0.3362 0.1968-0.727 -0.777 -0.731 -0.627
-0.169 -0.061 -0.004-0.727 -0.777 -0.731 -0.627 -0.494 -0.3450.0606 0.0038 -0.0030.6058 0.6294 0.5898 0.4782 0.3362 0.1968
-0.89 0.5794 0.1642 -0.321 -0.533 -0.678 -0.7620.0141 0 -0.002 -0.029 -0.083 -0.1630 1.4695 1.0543 0.5688 0.3569 0.2117
12 13 14 15 165 6 7 8 9 10
-0.083 -0.163 -0.336 -0.618 -1.286
-1.226 -1.508 -2.176-0.876 -0.89 -0.892 -0.919 -0.973 -1.053-0.336 -0.618 -1.286
1
-0.833
Orig 1 2 3 4
0.1276 0.0574 0.0141 0 -0.002 -0.0290 1.4695 1.0543 0.5688 0.3569 0.2117
-0.890117919
0.260948228
11
-51
14.95123212
1
0
0
0.75
0.3974 0.1792 0.0608 0.0046
Max
Min
1
0.4586 0.6443 0.8142 0.9463 1.0001 0.9396
12 13 14 15 16
0.1692 0.0496 0.0013
0.0964 0.082
0.9462 1.0001 0.9396 0.7884 0.5955 0.3922
14 15 16
0.0014 0.0174 0.098 0.2353
6 7 8 9 10 11
-0.064 -0.059 -0.035 -0.004
Orig 1 2 3 4 5
0.0467 0.0133 0 -0.002 -0.023 -0.050 0.0014 0.0151 0.0528 0.0822
0.5976
0.0825 0.2205 0.4484
0 0.0001 0.0086 0.0825 0.2205 0.4484 0.639
8 9 10 11 12 13Orig 1 2 3 4 5
15 16
0.0822 0.0964
0.0573 0.0307 0.016 0.0213 0.0451 0.0760.1692 0.0496 0.0013
11
0.082 0.0467
0.0804 0.0817 0.0955 0.1331 0.1626 0.1767 0.16240.9462 1.0001 0.9396 0.7884 0.5955 0.39220 0.0001 0.0086
0.0086 0.0825 0.2205 0.4484
12 13 14 15 165 6 7 8 9 10
-0.05 -0.064 -0.059 -0.035 -0.0040 0.59550.9396 0.7884 0.3922 0.1692 0.0496 0.0013
0.000138-0.06434
0.999862
1.000138019
Orig 12
-0.05 -0.064 -0.059 -0.035 -0.004
1
0.082 0.0467 0.0133 0 -0.002 -0.023
6 7 8 9 10 11
0.3921 0.1692 0.0496 0.00130 0.0014 0.0151 0.0528 0.0822 0.0963
0.8128 0.946 1 0.9394 0.7883 0.59540 0.0001 0.0086 0.0825 0.2205 0.4483 0.6389Y [unit]
Orig 1 2 3 4
0.00010 0.0014 0.0151
0
70.05740.3184
-0.6020.5479-0.602
0.1276 0.0574
0.5479-0.445
1 2 3 4 5 13 14
0.096342
This spreadsheet does transformations on the blade profile, producing geometry for modeling and calculations. Using data from the "Blade Profile Infromation" spreadsheet
and the "Lift and Drag Calculation" spreadsheets, it calculates geometry for 3D modeling and for the lift and drag calculations.
There is no information that needs to be edited on this sheet.
1
12/11/2014
4 5 6 7 821OrigPoint Number
X [unit]
15 169 10 11 12 13 143
Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
0.7887
6 7
0.1271 0.0937 0.0804 0.07840.639 0.8129
0.8129
0.8129 0.9462 1.00010.6390.0133 0 -0.002 -0.0230.0528
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Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 2Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 3Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 4Slice numberAngle for geometry deg rad
-0.014 -0.022 -0.004
0.9677334420.274831735
4
0.2526 0.2533 0.2361 0.1774 0.1028 0.03710.1787 0.0569 0.0024
Rotated & Scaled Y [in] 0 0.0013 0.0168 0.0719 0.1354 0.20680.9119 0.9675 0.9094 0.7685 0.5886 0.3957
-1.03Rotated & Scaled X [in] 0 -2E-04 0.0045 0.0665 0.1925 0.4094 0.5974 0.7745
0.254 0.2269 0.173 0.0935 -0.08 -0.3620.613 0.4678 0.3837 0.3135 0.2702 0.2561-0.083 -0.163 -0.336 -0.618 -1.286
Angle for lift/drag [rad] 0.2561 1.7256 1.3104 0.82480.1276 0.0574 0.0141 0 -0.002 -0.029
14 15 16Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.2117
8 9 10 11 12 13
-0.011
Point Number Orig 1 2 3 4 5 6 7
-0.478 -0.42 -0.347 -0.258 -0.142 -0.062-0.045 -0.147 -0.255 -0.372 -0.468 -0.5060.5017 0.3183 0.1279 0.0361 0.0097
After offset Y 0 -0.005 0.0026 -0.0020.6052 0.7382 0.8369 0.877 0.8235 0.6821
-0.341 -0.252 -0.136 -0.055 -0.004After offset X 0 0.0116 0.0258 0.1087
-0.249 -0.366 -0.462 -0.5 -0.471 -0.4140.4909 0.3075 0.117 0.0253 -0.001
Rotated & Scaled Y [in] 0 0.0011 0.0088 0.00440.5944 0.7274 0.8261 0.8661 0.8127 0.6712
-0.607 -0.686 -0.859 -1.141 -1.81Rotated & Scaled X [in] 0 0.0008 0.015 0.0979
-0.396 -0.466 -0.51 -0.524 -0.526 -0.553-0.336 -0.618 -1.286
Angle for geometry [rad] -0.524 0.9459 0.5307 0.0452 -0.167 -0.3120.0141 0 -0.002 -0.029 -0.083 -0.163
16Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.2117 0.1276 0.0574
10 11 12 13 14 157 8 9
0.00625
Point Number Orig 1 2 3
3-30 -0.523598776
0.256083493
14
0.1772 0.0976 -0.0750.2117 0.1276 0.0574
15 16Original angle [rad] 0 1.4695 1.0543 0.5688
8 9 10 11 12 13
-0.152 -0.059 -0.004
Point Number Orig 1 2 3 4 5
-0.585 -0.629 -0.593 -0.514 -0.413 -0.297
6 70.3569
-0.002After offset Y 0 0.001 0.0064 -0.011 -0.075 -0.207 -0.338 -0.475
0.729 0.5982 0.4316 0.2643 0.0944 0.01640.2231 0.4091 0.5482 0.6612 0.7437 0.7773-0.413 -0.297 -0.152 -0.059 -0.004
After offset X 0 0.001 0.0162 0.0973-0.338 -0.475 -0.585 -0.629 -0.593 -0.514
0.0944 0.0164 -0.002Rotated & Scaled Y [in] 0 0.001 0.0064 -0.011 -0.075 -0.207
0.7437 0.7773 0.729 0.5982 0.4316 0.2643-1.967
Rotated & Scaled X [in] 0 0.001 0.0162 0.0973 0.2231 0.4091 0.5482 0.6612-0.683 -0.71 -0.764 -0.843 -1.016 -1.298-0.324 -0.469 -0.553 -0.623 -0.667 -0.681
-0.083 -0.163 -0.336 -0.618 -1.286Angle for geometry [rad] -0.681 0.7888 0.3736 -0.112
0.1276 0.0574 0.0141 0 -0.002 -0.02914 15 16
Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.21178 9 10 11 12 13Point Number Orig 1 2 3 4
-0.6806784080.260275571
0
Rotated & Scaled Y [in]
-0.000217061
0 0.0013 0.0169 0.0723
5 6
-0.401425728
-0.010825318
0.278646850.966668623
0.1053 0.0387 -0.013
14.672503331
1.7
Max0.966452468
Min-0.000216155
-0.02126448 0.25738237
4 5 6
-0.021 -0.0040.2437 0.2544 0.2564 0.2574 0.2399 0.18060.1787 0.057 0.0024
Rotated & Scaled Y [in] 0 0.0013 0.0168 0.0722 0.1362 0.20850.9109 0.9665 0.9084 0.7678 0.5882 0.39550.7735
-0.357 -1.026Rotated & Scaled X [in] 0 -2E-04 0.0044 0.0662
0.3879 0.3177 0.2744 0.2603 0.2582 0.2311-0.336 -0.618 -1.286
Angle for lift/drag [rad] 0.2603 1.7298 1.3146 0.829 0.6172 0.4720.0141 0 -0.002 -0.029 -0.083 -0.163
0.1919 0.4085 0.5964
0.2792585660.966496181
0.1057 0.039 -0.013 -0.021 -0.004
Min
0.2441 0.2549 0.257 0.258 0.2405 0.18110.1363 0.2088
-23
-0.000210502 0.96752294-0.021503059 0.253328676
Min Max
0.2412 0.2511
0.2321 0.4365-0.039 -0.1410.2429 0.4473
7
-0.021226163
14.912691711
0.258032402
Max0.966279119
-392
01.225
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12/11/2014
Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
Angle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 5Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 6Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry14 15 165 6 7 8 9 10
0.00020.1365 0.03630.4127 0.577 0.7223 0.8324 0.8771-0.31
0.2665482890.9
-0.048718503
0.96430453 0.9645317560.265316472 0.286112136
-13 -0.226892803
11 12 13
0.8235 0.6867 0.5122 0.33090.21
0.9087 0.9643 0.9064 0.7663Rotated & Scaled X [in] 0 -2E-04 0.0043 0.0656 0.19080.1101 0.042 -0.012 -0.021 -0.004
Max
0.2486 0.2607 0.2638 0.2653 0.2474 0.18690.5873 0.3952 0.1788 0.0571 0.0024
0.2393 0.1854 0.1059 -0.067 -0.349 -1.0180.4802 0.3961 0.3259 0.2826 0.2685 0.2664Angle for lift/drag [rad] 0.2685 1.738 1.3228 0.8373 0.6254-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0 -0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
11 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4
-0.263 -0.233 -0.187 -0.117 -0.059 -0.016-0.05 -0.119 -0.204 -0.275 -0.303 -0.288After offset Y 0 -0.01 0.001 0.0154 0.00320.7831 0.5908 0.3921 0.1804 0.073 0.03580.4928 0.6709 0.8269 0.9446 0.9923 0.9338
-0.222 -0.176 -0.106 -0.048 -0.005After offset X 0 0.0364 0.0485 0.1302
-0.108 -0.193 -0.264 -0.292 -0.277 -0.2530.555 0.3562 0.1446 0.0371 -6E-05
Rotated & Scaled Y [in] 0 0.0013 0.012 0.02630.6351 0.791 0.9087 0.9564 0.8979 0.7472Rotated & Scaled X [in] 0 0.0005 0.0127 0.0944
-0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
0.2349-0.326 -0.38 -0.459 -0.632 -0.914 -1.583-0.085 -0.169 -0.239 -0.283 -0.297 -0.299Angle for geometry [rad] -0.297 1.1728 0.7576 0.2721 0.0602
0.457
1-0.0358614280.010963939
Max-0.000211012 0.967427172 0.967638183-0.021481575 0.253694156 0.275175731
0.1777 0.1031 0.0372 -0.014 -0.021 -0.0040.2069 0.2414 0.2514 0.2529 0.2537 0.2364Rotated & Scaled Y [in] 0 0.0013 0.0168 0.072 0.13550.7684 0.5886 0.3957 0.1787 0.0569 0.00240.4093 0.5973 0.7745 0.9119 0.9674 0.9093Rotated & Scaled X [in] 0 -2E-04 0.0045 0.0665 0.19240.2273 0.1734 0.0938 -0.079 -0.361 -1.030.4681 0.3841 0.3139 0.2705 0.2565 0.2544Angle for lift/drag [rad] 0.2565 1.726 1.3108 0.8252 0.6134-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0 -0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
11 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4
-0.339 -0.288 -0.222 -0.13 -0.062 -0.014-0.096 -0.184 -0.284 -0.367 -0.401 -0.379After offset Y 0 -0.009 0.0008 0.0065 -0.020.7397 0.5518 0.3589 0.1557 0.0549 0.02250.4734 0.6433 0.7895 0.8992 0.9436 0.8871After offset X 0 0.0237 0.0368 0.1196 0.2581-0.329 -0.278 -0.212 -0.12 -0.052 -0.005-0.087 -0.174 -0.275 -0.357 -0.391 -0.369
0.3359 0.1327 0.0319 -5E-04Rotated & Scaled Y [in] 0 0.0012 0.0106 0.0163 -0.01
0.7665 0.8762 0.9206 0.8641 0.7167 0.5288-0.737 -1.019 -1.688
Rotated & Scaled X [in] 0 0.0007 0.0138 0.0966 0.2351 0.4504-0.387 -0.401 -0.403 -0.431 -0.485 -0.564
-0.336 -0.618 -1.286Angle for geometry [rad] -0.401 1.0681 0.6529 0.1673 -0.045 -0.19
0.0141 0 -0.002 -0.029 -0.083 -0.16314 15 16
Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.21178 9 10 11 12 13
2.175
Point Number Orig 1 2 3 4 5
-0.39 -0.563 -0.844 -1.513Rotated & Scaled X [in] 0 0.0004 0.0106 0.0831
-0.099 -0.169 -0.213 -0.227 -0.229 -0.256-0.336 -0.618 -1.286
Angle for geometry [rad] -0.227 1.2426 0.8274 0.3419 0.13 -0.0150.0141 0 -0.002 -0.029 -0.083 -0.163Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.2117 0.1276 0.0574
6
15.27209197
Min-0.000227226-0.020795665
0.40680.1378 0.2118Rotated & Scaled Y [in] 0 0.0013 0.0169 0.0728
0.5944 0.7714
0.0112475533.125
Point Number Orig 1 2 3 4
0.0142 -0.0390.2708
11 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0
2.65
15.38358265 0.268494168-17 -0.296705973
5
Min
-0.0230126210.009768278
0.25646126
-0.274 -0.3440.6203
6 70.1276 0.0574
14.694147781
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12/11/2014
Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 7Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 8Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
-0.336 -0.618 -1.2860.0141 0 -0.002 -0.029 -0.083 -0.163
0.3289 0.2213 0.1002 0.032 0.0013Rotated & Scaled Y [in]
16Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.2117 0.1276 0.0574
10 11 12 13 14 154 5 6 7 8 9
0.3276 0.2136 0.09 0.0251 0.0004
Point Number Orig 1 2 3
0.3608 0.455 0.5268 0.5559 0.5221 0.4366-0.205 -0.285 -0.458 -0.74 -1.409
Rotated & Scaled X [in] 0 0.0002 0.0058 0.04950.0054 -0.065 -0.108 -0.122 -0.124 -0.151
-0.083 -0.163 -0.336 -0.618 -1.286Angle for geometry [rad] -0.122 1.3474 0.9321 0.4466
0.1276 0.0574 0.0141 0 -0.002 -0.02914 15 16
Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.21178 9 10 11 12 13Point Number Orig 1 2 3 4 5 6 7
0.2690077320.56
0.676159959 0.6763131290.181502004 0.196308453
-0.122173048
0.0745 0.0277
8-7
0.0091402014.075
15.41300768
Min-0.00015317
-0.014806449
0.1465
-0.074440961
-0.009 -0.015 -0.003
Max
0.1714 0.1791 0.1807 0.1815 0.1692 0.1275Rotated & Scaled Y [in] 0 0.0009 0.0118 0.0506 0.09560.5372 0.4116 0.2768 0.1251 0.0399 0.00170.2856 0.4171 0.5411 0.6373 0.6762 0.6356Rotated & Scaled X [in] 0 -2E-04 0.0031 0.0462 0.13420.233 0.1791 0.0996 -0.073 -0.355 -1.0240.4739 0.3899 0.3197 0.2763 0.2622 0.2602Angle for lift/drag [rad] 0.2622 1.7318 1.3166 0.831 0.6192
0.6022 0.466 0.3241 0.171 0.0914 0.06190.3824 0.512 0.6276 0.7154 0.751 0.709After offset X 0 0.0618 0.0693 0.1249 0.2236-0.112 -0.107 -0.092 -0.061 -0.03 -0.0030.0119 -0.021 -0.067 -0.106 -0.122 -0.116
3.6
Rotated & Scaled Y [in] 0 0.0009 0.0094 0.0263 0.02990.5407 0.4045 0.2625 0.1095 0.0299 0.00040.3208 0.4505 0.5661 0.6539 0.6895 0.6475Rotated & Scaled X [in]
-0.1745329250.262248466
0.7
Max0.86833708 0.868539226
-0.018816113 0.237095595 0.255911708
0.1669 0.0981 0.0371 -0.011 -0.019 -0.0040.19 0.2227 0.2333 0.2359 0.2371 0.221
-0.000202145
7-10
15.02573029
Rotated & Scaled Y [in] 0 0.0012 0.0152 0.0654 0.12370.69 0.5288 0.3558 0.1609 0.0514 0.00220.3665 0.5354 0.6947 0.8183 0.8683 0.8162
-1.02Rotated & Scaled X [in] 0 -2E-04 0.0039 0.0592
0.3942 0.324 0.2806 0.2665 0.2645 0.2373-0.083 -0.163 -0.336 -0.618 -1.286
Angle for lift/drag [rad] 0.2665 1.7361 1.3209 0.83530.1276 0.0574 0.0141 0 -0.002 -0.029Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
7 8 9 10 11 12
-0.052 -0.015
Point Number Orig 1 2 3 4 5 6
-0.214 -0.203 -0.191 -0.175 -0.147 -0.097
-0.086 -0.041 -0.004After offset X 0 0.0491 0.0593 0.1318
-0.18 -0.202 -0.192 -0.18 -0.164 -0.136
After offset Y 0 -0.01 0.0003 0.0183 0.0162
Rotated & Scaled Y [in] 0 0.0012 0.0115 0.0296 0.0275 -0.006 -0.057 -0.124
0.2347 0.08950.1282 0.2558
-0.0020.1388 0.1049 0.0619 0.0236 -0.007 -0.0120.0772 0.1188 0.1394 0.1462 0.148 0.14890 0.0008 0.0095 0.04080.3328 0.4319 0.5088 0.5399 0.5075 0.429
-0.067 -0.349 -1.017Rotated & Scaled X [in] 0 -1E-04 0.0024 0.0367 0.1068 0.2277
0.2831 0.269 0.2669 0.2398 0.1859 0.1064Angle for lift/drag [rad] 0.269 1.7385 1.3233 0.8378 0.6259 0.4807 0.3966 0.3264
-0.054 -0.032 -0.012-0.066 -0.077 -0.074 -0.076 -0.077 -0.0720.0749
After offset Y 0 -0.008 -0.001 0.0146 0.0215 0.0138 -0.007 -0.0390.5965 0.5111 0.402 0.288 0.1645 0.09960.2026 0.3302 0.4352 0.5295 0.6013 0.6303
-0.068 -0.063 -0.044 -0.023 -0.003After offset X 0 0.0746 0.0803 0.1239
0.002 -0.029 -0.057 -0.068 -0.065 -0.067Rotated & Scaled Y [in] 0 0.0007 0.0078 0.0237 0.0307 0.023
-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0 -0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.356911 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4
-0.123 -0.117 -0.103 -0.072 -0.041 -0.0140.0011 -0.032 -0.077 -0.117 -0.132 -0.126After offset Y 0 -0.01 -0.001 0.0155 0.019
0 0.0003 0.0078 0.0633 0.162-0.204 -0.258 -0.337 -0.51 -0.792 -1.4610.0371 -0.047 -0.117 -0.16 -0.175 -0.177Angle for geometry [rad] -0.175 1.295 0.8798 0.3942 0.1824-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0 -0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
11 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4
-0.0615504850.010853011
Min
0.21170.6235 0.47820.172
0.5609 0.3796 0.1852 0.0851 0.049-0.018 -0.069 -0.135 -0.191
0.6257 0.771 0.8811 0.9258 0.8723 0.73540.2587 0.4614
13 14 15 16
0.1834 0.1039 -0.069 -0.351
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12/11/2014
Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 9Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 10Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth inX offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
Blade Slice 11Slice numberAngle for geometry deg radAngle for lift/drag deg radWidth in
14.99197276 0.2616592860.32
-0.008067676 0.104192596 0.112260273
11-2 -0.034906585
-0.005 -0.008 -0.002
Min Max-8.96221E-05 0.375880155 0.375969777
0.1036 0.1042 0.0972 0.0735 0.0434 0.01670.0009
Rotated & Scaled Y [in] 0 0.0005 0.0066 0.0284 0.0539 0.0829 0.0974 0.10230.3533 0.2987 0.229 0.1541 0.0698 0.02230.0743 0.1585 0.2316 0.3006 0.3542 0.3759
0.1873 0.1078 -0.065 -0.347 -1.016Rotated & Scaled X [in] 0 -9E-05 0.0017 0.0255
0.398 0.3278 0.2845 0.2704 0.2683 0.2412-0.083 -0.163 -0.336 -0.618 -1.286
Angle for lift/drag [rad] 0.2704 1.7399 1.3247 0.83920.1276 0.0574 0.0141 0 -0.002 -0.029
14 15 16Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569 0.2117
8 9 10 11 12 13
-0.007
Point Number Orig 1 2 3 4 5 6 7
-0.025 -0.03 -0.037 -0.038 -0.032 -0.020.0231 0.0137 -0.004 -0.019 -0.0260.3308 0.2513 0.1646 0.1184 0.1003
After offset Y 0 -0.005 0.0005 0.01360.3504 0.4174 0.4686 0.4894 0.4658 0.4064
-0.026 -0.015 -0.002After offset X 0 0.0999 0.1035 0.1331 0.1874 0.2765
-0.014 -0.02 -0.02 -0.025 -0.031 -0.0330.0004
Rotated & Scaled Y [in] 0 0.0005 0.0057 0.0189 0.0275 0.0284 0.0189 0.00160.3659 0.3066 0.2309 0.1514 0.0647 0.01860.2506 0.3175 0.3688 0.3895
-0.135 -0.215 -0.388 -0.67 -1.339Rotated & Scaled X [in] 0 8E-05 0.0037 0.0332
0.0753 0.0051 -0.038 -0.052 -0.054 -0.082-0.083 -0.163 -0.336 -0.618 -1.286
Angle for geometry [rad] -0.052 1.4172 1.002 0.51640.1276 0.0574 0.0141 0 -0.002 -0.029
12 13 14 15 16Original angle [rad] 0 1.4695 1.0543 0.5688
6 7 8 9 10 11Point Number Orig 1 2 3 4 5
10-0.0523598780.270406965
-0.041 -0.026 -0.01
Min Max-0.000103331 0.443814406 0.443917737
-0.039 -0.048 -0.046 -0.05 -0.054 -0.053
0.1308073230.121190703
0.0853 0.0501 0.019 -0.006 -0.01 -0.002
0.0876After offset Y 0 -0.007 -0.001 0.0132 0.0212 0.0186 0.0043 -0.019
0.5176 0.4475 0.3581 0.2643 0.1624 0.10850.1915 0.2965 0.3833 0.4615 0.5213 0.5455-0.047 -0.045 -0.034 -0.018 -0.002
After offset X 0 0.0873 0.0917 0.12710.012 -0.011 -0.032 -0.04 -0.039 -0.042
0.0752 0.0213 0.0004Rotated & Scaled Y [in] 0 0.0006 0.0066 0.0209 0.0288 0.0262
0.4341 0.4583 0.4305 0.3604 0.2709 0.1771Rotated & Scaled X [in] 0 0.0001 0.0045 0.0399 0.1043 0.2093 0.2961 0.3744-0.089 -0.116 -0.17 -0.25 -0.423 -0.7050.2697 0.1244 0.0404 -0.03 -0.073 -0.087Angle for geometry [rad] -0.087 1.3823 0.9671 0.4815
0.1276 0.0574 0.0141 0 -0.002 -0.02912 13 14 15 16
Original angle [rad] 0 1.4695 1.0543 0.56886 7 8 9 10 11
0.3569 0.2117 -0.083 -0.163 -0.336 -0.618 -1.286-1.374
Point Number Orig 1 2 3
0.148854534 0.160483675
-0.0872664630.266567462
Min Max0.539934162 0.540061795
4.55
4 5
0.6273 0.4821
0.3569 0.21170.3046 0.1593
-315.49317783
0.39
0.0052335965.025
-0.099862953
-0.009616621
-0.087167036
0.0876 0.1766
0.0223
0.0971 0.1138 0.1192 0.1206 0.1212 0.113Rotated & Scaled Y [in] 0 0.0006 0.0078 0.0334 0.06320.3526 0.2703 0.1818 0.0823 0.0263 0.00110.1873 0.2736 0.3551 0.4183 0.4438 0.4172Rotated & Scaled X [in] 0 -1E-04 0.002 0.0302 0.08790.2374 0.1835 0.1039 -0.069 -0.351 -1.020.4782 0.3942 0.324 0.2807 0.2666 0.2645Angle for lift/drag [rad] 0.2666 1.7361 1.3209 0.8353 0.6235-0.029 -0.083 -0.163 -0.336 -0.618 -1.2860.2117 0.1276 0.0574 0.0141 0 -0.002Original angle [rad] 0 1.4695 1.0543 0.5688 0.3569
11 12 13 14 15 165 6 7 8 9 10Point Number Orig 1 2 3 4
-0.011629141
9-5
15.27319054
0.007626127
0.46
-0.000127634
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Wind TurbineBlade Design
Profile Correction CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date
Group Members Sheet Rev. No. 0.15 Project Rev. Date
X offset inY offset inZ offset in
Geometry
Geometry with wind corrected angle (not for drafting)
Lift/Drag length (for calculating areas)
X [in] Normal [in]Y [in] Tangential [in]
End of Spreadsheet
-6.97663E-05 0.309150528 0.309220294-0.006779408 0.082790214 0.089569621
0.0581 0.034 0.0126 -0.004 -0.007 -0.0010.0669 0.0782 0.0817 0.0824 0.0828 0.07720.0572 0.0182 0.00080.1306 0.1907 0.2474 0.2914 0.3092 0.2906Rotated & Scaled X [in] 0 -7E-05 0.0014 0.0211 0.0614
Min Max
-0.074 -0.356 -1.0250.4733 0.3893 0.3191 0.2757 0.2617 0.2596-0.083 -0.163
Angle for lift/drag [rad] 0.2617 1.7312 1.316 0.83040.1276 0.0574 0.0141 0 -0.002 -0.029
0.2324 0.1786 0.099
Rotated & Scaled Y [in] 0 0.0004 0.0054 0.0231 0.04370.2456 0.1882 0.1266
12 13 14 15 16Original angle [rad] 0 1.4695 1.0543 0.5688
6 7 8 9 10 11Point Number Orig 1 2 3 4-0.336 -0.618 -1.286
-0.02 -0.026 -0.029 -0.025 -0.016 -0.0050.0219 0.0152 0.0019 -0.01 -0.015 -0.015After offset Y 0 -0.003 0.0008 0.012 0.01990.3643 0.3023 0.2371 0.1659 0.1279 0.11280.2569 0.3177 0.3729 0.4152 0.4323 0.4129After offset X 0 0.1125 0.1154 0.1394 0.1839-0.016 -0.023 -0.025 -0.021 -0.012 -0.0010.0258 0.0191 0.0059 -0.006 -0.011 -0.011Rotated & Scaled Y [in] 0 0.0004 0.0047 0.016 0.02380.2519 0.1899 0.1247 0.0535 0.0155 0.00040.1445 0.2053 0.2605 0.3027 0.3198 0.3005Rotated & Scaled X [in] 0 6E-05 0.0029 0.027 0.0714-0.064 -0.118 -0.198 -0.371 -0.653 -1.3210.1768 0.0927 0.0225 -0.021 -0.035 -0.037
-0.083 -0.163 -0.336 -0.618 -1.286Angle for geometry [rad] -0.035 1.4346 1.0194 0.5339
0.1276 0.0574 0.0141 0 -0.002 -0.02912 13 14 15 16
Original angle [rad] 0 1.4695 1.0543 0.56886 7 8 9 10 11Point Number Orig 1 2 3 4
-0.112431468
50.3569 0.21170.6186
50.3569 0.21170.322
5.50.003926193
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Description
Parameters ConstantsTrue wind velocity mph ul
True wind velocity in/sec miles to inches in/mileTrue wind angle deg hours to seconds sec/hrMan-made wind angle deg rotations to radians rad/rotationVelocity at reference point rpm in to ft ft/inAngular velocity rad/sec Air Density kg/m^3Radius in Air Density lb/in^3
kilogram to pounds lb/kgcubic meter to cubic inch in^3/m^3
Initial Values
Sweep distance [in]Blade width [in]Blade angle [degrees]
X offset [in] *these values are assuming offset perp to angleY offset [in] *these values are assuming offset perp to angleZ offset [in]
Geometry For plottingLeading Edge [in]
Trailing Edge [in]
Left Side
Righ Side
Velocity*calculating velocity using ang velocity
Angle of apperent wind [rad] *angle is from rotation direction to wind direction
Angle of apperent wind [deg]
Table to pass values to Profile sheetBlade angle [degrees]
Chord to wind angle [deg] *calculated later in this sheet
Width [in]
X offset [in]
Y offset [in]
Z offset [in]
Values from Profile sheetNormal length [in]
Tangential length [in]
Blade Characteristics
y=m5*(x^5)+m4*(x^4)+m3*(x^3)+m2*(x^2)+m1*(x)+b
y=lift
Drag Experimental Equation x=angle
Angle of attack [deg]
Angle of apperent wind [deg]
Chord to wind angle [deg]
Apperent ang. of attack [deg] *verify this formula - should it be added or subtracted?
Lift Coefficient [ul]
Drag Coefficient [ul]
AveragesAverage Angle of attack [deg]
Average angle of wind [deg]
164.51 165.01
0 -1
-0.112 -0.432
165.05 165.09 165.33 165.31 164.62 164.73 164.97 164.59 164.73
-45 -34.5 -26.5 -20 -15 -11.5 -8.5 -6 -4 -2.5
120.07 130.71 138.82 144.96 149.67 153.35 156.28 158.66 160.62 162.26
0.0362 0.0419 0.0397 0.0432 0.03570.0352 0.0347 0.0318 0.0321 0.0414 0.0397
1.4108 1.4145 1.4077 1.4107 1.4056 1.4149
15.026 15.413 15.273 15.493 14.99215.272
1.4152 1.4155 1.4164 1.4164 1.4084
14.951 14.913 14.673 14.694 15.384
151.73 154.97 157.59 159.73 161.51 163.01
-10 -7 -5 -3 -2-13
114.05 126.09 135.33 142.31 147.62
-51 -39 -30 -23 -17
5E-07 -1E-05 0.0001 -4E-04 0.0005 0.0058
b
Lift Experimental Equation 1E-07 -3E-05 0.0007 -0.006 0.128 0.1138
0.1963 0.1605 0.1308 0.1123 0.0896
m5 m4 m3 m2 m1
0.2793 0.2786 0.2748 0.2752 0.2861 0.2559
0.8685 0.6763 0.5401 0.4439 0.376 0.3092
-0.062-0.049
-3-5
15.273 15.493 14.992
-0.1 -0.112-0.087
0.39 0.32
0.0112
-7-10-13
15.413
-0.074
0.9665 0.9667 0.9677 0.9676 0.9645
-30-39-51
14.951 14.913
1 1 1
0 0 0.0063
0 -0.023 -0.0360 -0.011
0.0098 0.011
14.673
151.73 154.97 157.59 159.73 161.51 163.01
2.7048 2.7504 2.7878 2.8188 2.8452.6482
114.05 126.09 135.33 142.31 147.62
1.9905 2.2006 2.3619 2.4837 2.5764
327.25 376.99 426.73 476.47 526.22 575.96Z point velocity [in/sec] 78.54 128.28 178.02 227.77 277.51
-0.949 -0.762 -0.634 -0.547 -0.49 -0.432
-0.062 -0.074 -0.087 -0.1 -0.112-0.049
-1 -1 -1.011 -1.023 -1.036
0 0 -0.011 -0.023 -0.036
3.125 3.6 4.075 4.55 5.025 5.50.0109 0.0091 0.0076 0.0052 0.00390.0112
0.75 1.225 1.7 2.175 2.650 0 0.0063 0.0098 0.011
-0.049 -0.062 -0.074 -0.087 -0.1 -0.112
-10 -7 -5 -3 -2-13
0 0 -0.011 -0.023 -0.036
-51 -39 -30 -23 -170.56 0.46 0.39 0.32
0.0625 0.075 0.0875 0.1 0.11250.0375 0.05
1 2 3 4 5 6 7
1 1 1 1 1 0.9 0.7
This spreadsheet calculates lift and drag based off of inputs from the "Blade Design" sheet, the "Profile Correction Calculations" sheet, and the profile information sheet. Lift There is no information that needs to be edited on this sheet.
176
pi 3.14
1000
63360
10
4.42559E-05
180
9 10 11
0 0 0.0125 0.025
Group Members Sheet Rev. No. 0.15 Project Rev. Date 1
Wind TurbineBlade Design
Lift and Drag CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
1.225
90
-2
0.460.560.70.911
104.7197551
3600
5.5
6.2831853070.083333333
2.2046261023.7
8
14.694 15.384 15.272 15.026
0.0109 0.0091
-17-23
0.0076 0.0052 0.0039
0.75 1.225 1.7 2.175 2.65 3.125 3.6 4.075 4.55 5.025 5.5
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Group Members Sheet Rev. No. 0.15 Project Rev. Date 1
Wind TurbineBlade Design
Lift and Drag CalculationsGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
Av. Wind to chord angle [deg]
Average Lift Coefficient [ul]
Average Drag Coefficient [ul]
Average Z offset [in]
Z difference [in]
Average normal length [in]
Average tangent length [in]
Lift and DragZ point velocity [in/sec]
True wind velocity [in/sec]
Wind apperent velocity [in/sec]
Wind-tangent Area [in^2]
Wind-normal area [in^2]
Lift Force [lb] *verify these calcuations using scale model
Drag Force [lb] *verify these calcuations using scale model
Spin force from lift [lb] *these calcs only work if 0 > blade ang > -90
Spin force from drag [lb]
Spin force total [lb]
Spin normal force from lift [b] (up is positive)
Spin normal force from drag [b]
Spin normal force [lb]
Weak Axis Forces
Section 1 force
Section 2 force
Section 3 force
Section 4 force
Section 5 force
Section 6 force
Section 7 force
Section 8 force
Section 9 force
Section 10 force
Total weak axis forces
Weak Axis Moments
Section 1 force
Section 2 force
Section 3 force
Section 4 force
Section 5 force
Section 6 force
Section 7 force
Section 8 force
Section 9 force
Section 10 force
Total weak axis moment
Weak Axis Stress
Slice
Strong axis width
Weak axis width
Section
Average Strong axis width [in]
Average weak axis width [in]
2nd Moment of Area (weak axis) *StrongAxis^3*WeakAxis/12 - assuming rectangular profile
Weak axis stress
End of Spreadsheet
TotalDist
0.6709 0.4126 0.2245 0.091
1 2 3
0419.98 298.52 201.3 124.89 89.708 100.66 130.61 124.82 70.733
0.1009
0.021 0.0209 0.0208 0.0211 0.0174 0.0087 0.0033 0.0014 0.0007 0.0003
0.279 0.2767 0.275 0.2806 0.271 0.2261 0.1784 0.1456 0.1215
7 8 9 10
0.9666 0.9672 0.9677 0.9661 0.9165 0.7724
1 2 3 4 5 6
0.6082 0.492 0.4099 0.3426
0.2559 0.1963 0.1605 0.1308 0.1123 0.0896
0.6763 0.5401 0.4439 0.376 0.30920.8685
0.2793 0.2786 0.2748 0.2752 0.2861
0.9665 0.9667 0.9677 0.9676 0.9645
1 2 3 4 5
0 0 0
0 0 0 0
6 7 8 9 10 11
0.8742 0.4368 0.1804 0.0494 0
0
8.8164 6.229 4.1802 2.6335 1.5599
4.7875 0.0494
0 0 0 0 0 0 0
0 0 0 0 0 0.0494
5.2625
0 0 0 0 3.8375 0.4368
0 0 0 0 0 0 0
0 0 0 0.0831 0.1512 0.2026
0 0.0655 0.115 4.3125 0.1804
0 0 0 0 2.8875 1.5599
0 0 0 0 0 0 0.1042
0 0.1305 0.2347 0.3247 0.4047 0.4652
0.1897 0.2626 0.3177 3.3625 0.8742
0 0 0 0.1476 1.9375 4.1802
0 0 0 0 0.1525 0.2969 0.4064
0.3434 0.51 0.6297 0.7459 0.8584 0.9452
0.5067 0.5999 0.6712 2.4125 2.6335
0 0.1063 0.2732 0.5314 0.9875 8.8164
0 0 0.1281 0.325 0.5768 0.774 0.9082
0.8541 1.0929 1.2481 1.4132 1.5821 1.7152
1.0454 1.1823 1.2891 1.4625 6.229
4 5
3.6474 3.0839 2.5111 1.9545 1.4458 1.0176
6 7 8 9 10
0.091 0.09187.5
0.1206 0.1039 0.224586
0.1538 0.1378 0.121 0.412684
0.1948 0.1748 0.1591 0.1422 0.670981.5
0.2472 0.2193 0.1996 0.1843 0.1672 1.017678.5
0.2748 0.2471 0.2279 0.213 0.1959 1.445875 0.2871
0.3125 0.2852 0.2667 0.2526 0.2355 1.954570 0.281 0.3211
0.3579 0.3314 0.3141 0.3012 0.2843 2.511163.5 0.25 0.3108 0.3615
3.647445 0.1729 0.2238 0.2875 0.3729 0.4495
0.4074 0.3824 0.3668 0.3556 0.3392 3.083955.5 0.2159 0.2697 0.3421 0.4048
10
0.5003 0.4966 0.4988 0.5031 0.4981
0.4602 0.4379 0.425 0.4163 0.4012
Angle 1 2 3 4
-0.01 -0.007 -0.005 -0.004
5 6 7 8 9
0.1223 0.1848 0.2643 0.3711 0.4748
-0.002
0.1118 0.1743 0.2539 0.3591 0.4624
0.5098 0.5037 0.504 0.5066 0.5001
-0.01 -0.01 -0.01 -0.012 -0.012
0.0475
0.1327 0.1421 0.1528 0.1683 0.1734 0.1505 0.1227 0.1022 0.0857 0.0693
0.0105 0.0152 0.021 0.0332 0.0462 0.0468 0.0475 0.0493 0.0503
-0.048
0.1223 0.127 0.1318 0.1351 0.1272 0.1037 0.0753 0.053 0.0354 0.0218
-0.015 -0.018 -0.023 -0.035 -0.048 -0.048 -0.048 -0.05 -0.05
0.1627
0.1729 0.2242 0.2954 0.395 0.4915 0.5203 0.5093 0.5068 0.5079 0.5006
0.4591 0.4594 0.4597 0.4589 0.4354 0.3669 0.2889 0.2337 0.1947
578.51
0.1325 0.1315 0.1306 0.1333 0.1287 0.1074 0.0847 0.0692 0.0577 0.0479
204.13 233.31 268.59 307.9 349.87 393.66 438.71 484.69 531.34
401.86 451.6 501.35 551.09
176 176 176 176 176 176 176 176 176 176
15.219 15.343 15.383 15.243
103.41 153.15 202.89 252.64 302.38
0.9666 0.9672 0.9677 0.9661 0.9165 0.7724 0.6082 0.492 0.4099 0.3426
0.279 0.2767 0.275 0.2806
352.12
0.475
14.932 14.793 14.683
0.475 0.475 0.475 0.475 0.475 0.475 0.475 0.475 0.475
0.0394
0.9875 1.4625 1.9375 2.4125 2.8875 3.3625 3.8375 4.3125 4.7875 5.2625
0.0349 0.0333 0.0319 0.0367 0.0405 0.0379 0.039 0.0408 0.0414
1.4154 1.416 1.4164 1.4124 1.4096 1.4126 1.4111 1.4092 1.4082 1.4102
15.039 15.328 15.149
0.271 0.2261 0.1784 0.1456 0.1215 0.1009
Total
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Description
Blade Name
Graphs
Blade Profile (info from AutoCAD)
NACA 63-215
X [unit] 0 0.0001 0.0086 0.0825 0.2205
0.0963 0.082 0.0467 0.0133 0
0.5954 0.3921 0.1692 0.0496 0.0013
Y [unit] 0 0.0014 0.0151 0.0528
0.6389 0.8128 0.946 1 0.9394 0.7883
-0.004-0.002 -0.023 -0.05 -0.064 -0.059 -0.0350.0822
13Point Number Orig 1 2 3 4 5 6 10 11 12
0.4483
8 97
This sheet loads information from a blade profile
Group Members Sheet Rev. No. 0.15 Project Rev. Date 1
Wind TurbineBlade Design
Generalized Blade ProfileGroup Name 0 Sheet Rev. Date 11/10/2014 Project Rev. Date 12/11/2014
14 15 16
0 1
Blade Profile
NACA 63-215
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0 5 10 15 20 25
Drag
EllipSys2D
Experimental
XFOIL
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
0 5 10 15 20 25
Lift
EllipSys2D
Experimental
XFOIL
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