Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)
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http://www.elsolucionario.blogspot .com
LIBROS UNIVERISTARIOS
Y SOLUCIONARIOS DE
MUCHOS DE ESTOS LIBROS
LOS SOLUCIONARIOS
CONTIENEN TODOS LOS
EJERCICIOS DEL LIBRO
RESUELTOS Y EXPLICADOS
DE FORMA CLARA
VISITANOS PARA
DESARGALOS GRATIS.
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4/10
As a whole:
trianglessimilar bym5.1: Note =CE
kN80.306)45cos5.13(3)45cos3(5:0
==−°++°=Σ
y
y A
D D M
Joint D:
°=°−
°= − 7.28
45cos36
45sin3tan 1θ
⎧ ==°−=Σ C CDCDF y
kN92.7,07.28sin80.3:0
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⎩⎨ ==−°=Σ T DE DE F x kN94.6,07.28cos92.7:0
Joint C :
⎩⎨⎧
=−°+°−°=Σ
=°−°−°−=Σ
037.28sin92.745sin7.28sin:0
07.28cos92.745cos7.28cos:0
CE BC F
CE BC F
y
x
Solve simultaneously to obtain:)(kN74.2
)(kN70.5
C CE
C BC
−=
−=
Joint E :
°=°−°
= 5.672
45180 β
T BE
BE F y
kN10.2
045sin74.25.67sin:0
=
=°−°=Σ
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As a whole:
By symmetry, Ay = Ey = 7.5 kips
0:0 ==Σ x x AF
Joint A:
°== − 7.3315
10tan 1
α
⎪⎩
⎪
⎨
⎧
==+°−=Σ
==+°−=Σ
C AB ABF
T AF AF F
y
x
kips52.13,05.77.33sin:0
kips25.11,07.33cos52.13:0
![Page 358: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/358.jpg)
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⎩ y
Joint B:
⎩⎨⎧
=−=−=Σ
=−−=Σ
05sin)52.13(:0
0cos)52.13(:0
α
α
BF BC F
BF BC F
y
x
Solve simultaneously to obtain:
BC = 9.01 kips C , BF = 4.51 kips C
Joint F :
By symmetry, EF = AF = 11.25 kips T
& DF = BF = 4.51 kips C
T CF CF F y kips5,07.33sin)51.4(2:0 ==°−=Σ
By symmetry, CD = 9.01 kips C , DE = 13.52 kips C , DF = 4.51 kips C
![Page 359: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/359.jpg)
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By symmetry, A y = G y = 6 kN
0:0 ==Σ x x AF
![Page 365: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/365.jpg)
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°==°=− 43.18
5.1
5.0tan,45 1 β α
m2
3= AC
0,0)2()5.4(3)3(5.1)3(6:0 ==−−−=Σ CH AC CH M I
C CDCDF y kN74.4or kN74.4,035.143.18sin6:0 −==−−°+=Σ
T AH AH F x
kN5.4,043.18cos74.4:0 ==+°−=Σ
![Page 366: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/366.jpg)
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By symmetry, A y = E y = 4 kN
Joint A:
°==°== −− 5.805.0
3tan,6.40
5.3
3tan 11 β α
⎨⎧ =+°+°=Σ 046.40cos5.80cos:0 AF ABF x
![Page 367: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/367.jpg)
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⎩⎨
=°+°=Σ 06.40sin5.80sin:0 AF ABF y
Solve to obtain: C AB kN73.4or kN73.4−=
Joint C :
By symmetry, BC = CD
C BC BC F y kN66.5,0845sin2:0 ==−°=Σ
Joint B:
045sin66.56.40sin5.80sin73.4:0 =°−°−°=Σ BF F y
T BF kN024.1=
![Page 368: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/368.jpg)
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We can begin at joint E without finding the external reactions.
Joint E :
°=°°−= − 15
30sin24
60sin2424tan 1θ
⎪⎩
⎪⎨⎧
==−°=Σ
==−°=Σ
C L DE DE LF
C L EM L EM F
x
y
366.1,015cos932.1:0
932.1,0)15sin(2:0
Joint M :
°°−°− 537
45sin2460sin24tan 1α
![Page 371: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/371.jpg)
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°=°−°
= 5.3760cos2445cos24
tanα
°=°−°
°−= − 9.32
60cos2445cos24
60sin2424tan 1 β
⎩⎨⎧
=°−°−°=Σ
=°−°−°−=Σ
015sin932.15.37sin9.32sin:0
015cos932.15.37cos9.32cos:0
MN DM F
L MN DM F
y
x
Solve simultaneously to obtain: C L DM 785.0=
Joint D:
C L DN
DN L LF y
574.0
09.32sin785.0:0
=
=−−°=Σ
![Page 372: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/372.jpg)
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By symmetry, A y = F y = 4 kN
Joint A:
°== − 602
1cos 1
θ
⎩⎨⎧
==°−=Σ
==°−=Σ
T AG AGF C AB ABF
x
y
kN31.2,060cos62.4:0kN62.4,060sinkN4:0
![Page 393: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/393.jpg)
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Joint G:
°=°
= − 9.402
60sin2tan 1
α
T BG BGF y kN528.1,029.40sin2:0 ==−°=Σ
Joint B:
C BC
BC F y
kN46.3
09.40sin528.160sin60sin62.4:0
=
=°−°−°=Σ
![Page 394: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/394.jpg)
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4/2
By symmetry, A y = C y = 1000 lb
Joint A:
°== − 3.3012
7tan 1
θ
![Page 399: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/399.jpg)
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⎪⎩
⎪⎨⎧
==+°=Σ
−==+°=Σ
T AB AB ADF
C AD ADF
x
y
lb1714,03.30cos:0
)(lb1985,010003.30sin:0
By symmetry: CD = AC = 1985 lb C
BC = AB = 1714 lb T
By inspection of joint B, BD is a zero-force member.
![Page 400: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/400.jpg)
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Joint E :
°=°−°
= 752
30180θ
⎩⎨
⎧
==+°−=Σ
==−°=Σ
T L ED ED LF
T L EF L EF F
x
y
268.0,075cos035.1:0
035.1,075sin:0
Joint D:
R DF R R R R DF 239.1,30cos)2)((24 222
=°−+=
°==°
8.23,sin
239.1
30sinα
α
R R
⎩⎨⎧
=°+°+−=Σ
=°−°−−=Σ
075sin8.23sin:0
075cos8.23cos268.0:0
CD DF LF
CD DF LF
y
x
Solve simultaneously to obtain: CLDFTLCD 66403131 ==
![Page 402: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/402.jpg)
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Solve simultaneously to obtain: C L DF T LCD 664.0,313.1 ==
Joint C :
⎩⎨⎧
=°−°−°=Σ
=°+°−°−=Σ
075sin313.130sin45sin:0
075cos313.130cos45cos:0
LCF BC F
LCF BC F
y
x
Solve simultaneously to obtain: )(674.0 C LCF −=
Joint F :
°=°+°+°= 8.83308.2330 β
⎩⎨⎧
=−°+°−+°=Σ
=+°+°++°−=Σ
0sin30sin75sinsin45sin:0
0cos30cos75coscos45cos:0
α β
α β
DF CF EF BF FGF
DF CF EF BF FGF
y
x
Solve simultaneously to obtain: T L BF 814.1=
![Page 403: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/403.jpg)
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Location of C:22
c 4 c y x −−=
°−=°−−=
−++=
25sin4),25cos4(
)4()4( 222
AC y AC x
y x AC
cc
cc
Solve to obtain ft815.1= AC
Joint B:
°=°−
°= − 04.18
25cos815.14
25sin815.1tan 1θ
⎩
⎨⎧
==−°=Σ
==−°=Σ
T AB ABF
C CBCBF
x
y
lb1535,004.18cos1615:0
lb1615,050004.18sin:0
Joint C :
![Page 405: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/405.jpg)
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°=°−=°=°−°
= 4525,702
40180δ β δ
⎩⎨⎧
=°−°−°−=Σ
=°−°−°=Σ
004.18cos161545cos25cos:0
004.18sin161545sin25sin:0
CD AC F
CD AC F
x
y
Solve simultaneously to obtain: C AC lb779or lb779−=
By symmetry across a line from the origin to point A, C AC AD lb779==
![Page 406: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/406.jpg)
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X4/28
By symmetry, A y = I y = 5/2 L, A x = 0
By inspection of point A , AN = 0
Coordinate origin is at the center of
the two concentric arcs.
Location of N : x2
+ y2
= 162
For x N = -8 m: y N 2
= -82
+ 162
y N = 13.86 m N = (-8, 13.86) m
Location of A: y A2= -12
2+ 16
2, y A = 10.58 m, A = (-12, 10.58) m
Location of B: y B2
= -12
2+ 18
2=, y B = 13.42 m, B = (-12, 13.41) m
Location of C : yC 2
= -8
2+ 18
2=, yC = 16.12 m, C = (-8, 16.12) m
Location of D: y D2
=
-42
+ 182
=, y D = 17.55 m, C = (-4, 17.55) mLocation of M : y M
2=
-4
2+ 16
2=, y M = 15.49 m, C = (-4, 15.49) m
Joint B:
![Page 409: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/409.jpg)
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°=+−
−= − 28.6
128
42.1386.13tan 1α
°=+−
−= − 1.34
128
42.1312.16tan 1 β
⎩⎨⎧
=°+°+=Σ=°+°=Σ
028.6sin1.34sin)2/5(:0028.6cos1.34cos:0
BN BC LF BN BC F
y
x
Solve simultaneously to obtain: )(32.5,44.4 C L BC T L BN −==
Joint N :
°=+−−= − 2.22
84
86.1349.15tan 1γ
⎩
⎨⎧
==−+°+°−=Σ
==°+°−=Σ
C LCN LCN LF
T L NM NM LF
y
x
318.0,02.22sin76.428.6sin44.4:0
76.4,02.22cos28.6cos44.4:0
Joint C :
°=+−
−= − 61.19
84
12.1655.17tan 1δ
°=−
−= − 99.8
48
49.1512.16tan 1ε
⎩⎨⎧
=°−°++°=Σ
=°+°+°=Σ
099.8sin61.19sin318.01.34sin32.5:0
099.8cos61.19cos1.34cos32.5:0
CM CD L LF
CM CD LF
y
x
Solve simultaneously to obtain: T LCM 41.3=
![Page 410: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/410.jpg)
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4/3
We can begin at joint D without finding the external reactions.
Joint D:
⎪⎩
⎪⎨⎧
==°−=Σ
==−°=Σ
C ADCD ADF
T CDCDF
x
y
N3000,045cos:0
N4240,0300045sin:0
Joint C :
⎪⎩
⎪⎨⎧
==°+−=Σ
==°−°=Σ
TBCBCF
C AC AC F
x
y
N6000,0)45cos4240(2:0
N4240,045sin424045sin:0
![Page 412: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/412.jpg)
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⎪⎩ +Σ T BC BC F x N6000,0)45cos4240(2:0
Joint B:
From equilibrium of entire truss
T ABF y
N3000,0From ==Σ
4/30
°==− 9.36
2
5.1tan 1
α
![Page 413: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/413.jpg)
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T AE
AE AE M G
lb1417
0)6(9.36sin)5.1(9.36cos)6(600)4(800:0
=
=°−°−+=Σ
4/31
T BC BC M F
kips81.4,0)5.2(4)5.0(5)60sin3(:0 ==−−°=Σ
![Page 414: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/414.jpg)
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4/34
°=
°
= − 5.55
6
20tan
6
4
tan 1
d
d
α
![Page 417: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/417.jpg)
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T L BE
d BE
d L M
D
809.0
0)5.55(sin23
:0
=
=°⎟ ⎠
⎞⎜⎝
⎛ −⎟
⎠
⎞⎜⎝
⎛ =Σ
![Page 418: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/418.jpg)
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![Page 420: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/420.jpg)
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4/4
We can begin at joint C without finding the external reactions.
Joint C :
⎪⎩⎪⎨⎧
==−°=Σ
==−°=Σ
T CDCDF C BC BC F
x
y
N5000,045cos7070:0 N7070,0500045sin:0
Joint D:
m31.4,45cos)6)(5(265 222
=°−+= DB DB
°=⇒°= 1.5531.445sin
5sin θ θ
⎩⎨⎧
°°Σ
=°−°+=Σ
0155i45i0
045cos1.55cos5000:0
BDADF
AD BDF x
![Page 423: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/423.jpg)
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⎩⎨
=°−°−=Σ 01.55sin45sin:0 BD ADF y
Solve simultaneously to obtain:
T AD
C BD
N4170
N3590or N3590
=
−=
Joint B:
C AB
ABF x
N2950or N2950
045cos70701.55cos3590:0
−=
=−°−°=Σ
![Page 424: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/424.jpg)
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By symmetry, A y = I y = 3 L
0:0 ==Σ x x AF
°=°−°+
= − 8.268
25tan2430tan166tan 1θ
![Page 427: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/427.jpg)
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C L L DE
DE L L
L L M L
80.4or 80.4
060sin)625tan2430tan24()24(3)24(2
)16()8(:0
−=
=°+°−°−−++=Σ
⎪⎩
⎪⎨
⎧
−−+°+°−°−=Σ
=°+°+°−=Σ
22325sin8.26sin30sin80.4:0
025cos8.26cos30cos80.4:0
L L L LM DL LF
LM DL LF
y
x
Solve simultaneously to obtain: T L LM T L DL 54.4,0446.0 ==
Joint E :
T L EL
EL L LF y
80.3
0)30sin80.4(2:0
=
=−−°=Σ
4/44
By symmetry, A y = G y = 3 L
0:0 ==Σ x x AF
![Page 428: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/428.jpg)
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T L DQ DQ L
L LF y
576.0,02
5.3tansin
223:0
1 ==⎟ ⎠
⎞⎜⎝
⎛ −−−=Σ −
By inspection: 0=CQ
![Page 429: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/429.jpg)
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By symmetry, A y = G y = 3 L 0:0 ==Σ x x AF
![Page 431: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/431.jpg)
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°==°==−− 7.33
6
4tan,46.9
6
1tan 11 β α
( )[ ]
)(74.2
046.990sin)5()9(3)3()6()9(2
:0
C LCD
CD L L L L
M J
−=
=°−°−−++=Σ
T L JM JM L L
CD LF y 0901.0,07.33sin22
46.9sin3:0 ==°−−−°+=Σ
![Page 432: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/432.jpg)
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By symmetry, A y = H y = 3 L
0:0 ==Σ x x AF
Origin at center of arc
L ti f I2
252
92
B (9 23 3)
![Page 433: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/433.jpg)
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Location of I : y I 2
= 252
– 92, B = (9, 23.3) m
Location of J : y J 2
= 252
– 62, J = (6, 24.3) m
Location of G: yG = y I + 6 , G = (6, 29.3) m
Location of K : yK
2
= 252
– 32
, K = (3, 24.8) m
°=−
=°=−
= −− 39.103
3.248.24tan,3.56
3
8.243.29tan 11 β α
)(66.2,0)3()()6(2
)6(3:0 C LFG L y yFG L
L M K GK −==−−+−=Σ
⎪⎩
⎪⎨
⎧
°−°+=Σ
=°−°−=Σ
3.56sin39.10sin2
3:0
039.10cos3.56cos66.2:0
GK JK LF
JK GK LF
y
x
Solve simultaneously to obtain: T LGK 13.2=
![Page 434: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/434.jpg)
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By symmetry, A y = H y = 3 L
0:0 ==Σ x x AF
Origin at center of arc
Location of B: y B2
= 302
– (-15)2, B = (-15, 26.0) m
Location of A: y A = y B – 6, A = (-18, 20.0) m
Location of C:2
302
( 9)2C ( 9 28 6) m
![Page 435: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/435.jpg)
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Location of C : yC = 30 – (-9) , C = (-9, 28.6) m
Location of M : y M = y A, M = (-9, 20.0) mLocation of D: y D
2= 30
2– (-3)
2, D = (-3, 29.8) m
Location of L: y L = y A, L = (-3, 20.0) m
°=−
=°=−
=−− 2.55
6
0.206.28tan,60.11
6
6.288.29tan 11 β α
C LCD LCD
CD L L L M L
79.2or 79.2
0)60.1190sin()0.208.29()12()6()15(3:0
=−=
=°−°−−++−=Σ
T LCLCL L L L LF y 534.0,02.55sin60.11sin79.23:0 ==°−°−−−=Σ
![Page 436: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/436.jpg)
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N5660,0)81.9(100060sin2:0 ==−°=Σ T T F y
From 0=ΣxF , A x + B x = 0
C = (0, 2.25) m
L = (0, 4.5) m
![Page 438: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/438.jpg)
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H = (6cos15°, 4.5 + 6sin15°) = (5.80, 6.05) m
G = (6cos15° + 1cos75°, 4.5 + 6sin15° - 1sin75°) = (6.05, 5.09) m
°=−= − 1.2505.6
25.209.5tan 1α
m524.1)151.25cos(
5.1=
°−°=== DE EF FG
E = (6cos15° + 1cos75°-2(1.524cos25.1°), 4.5 + 6sin15° - 1sin75° -
2(1.524sin25.1°)) = (3.30, 3.79) m
N07014
0)09.5(60cos)05.6(60sin)79.3(60cos)30.3(60sin)3(:0
−=
=°+°−°−°−−=Σ
y
y B
A
T T T T A M
N90023,0)81.9(100007014:0 ==−+−=Σ y y y B BF
°=°+
°= − 8.28
15sin5.125.2
15cos5.1tan 1 β
N42019,0)75)(sin25.2()3(07014:0 ==°−=Σ LK LK M C
⎩⎨⎧
=°+°+°++−=Σ
=°+°+°=Σ
01.25sin8.28cos15sin420199002307014:0
01.25cosCKsin28.8cos1542019:0
CDCK F
CDF
y
x
Solve simultaneously to obtain: C CK CK N9290or N9290 =−=
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4/8
As a whole: 00 =⇒=Σ x x AF
kN60== E A y by
0=Σ yF and symmetry.
Joint A: ( )( )°== − 7.385/4tan 1θ
⎪⎩
⎪⎨⎧
=−=Σ
==−=Σ
T AH AH F
C AB ABF
x
y
kN75,cos0.96:0
kN0.96,0sin60:0
θ
θ
Joint B:
⎪⎩
⎪⎨⎧
==°+−=Σ
−==°+=Σ
T BH BH F
C BC BC F
y
x
kN60,03.51cos0.96:0
)(kN75,03.51sin0.96:0
![Page 469: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/469.jpg)
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Joint H :
⎪⎩
⎪⎨⎧
==−+=Σ
==+−=Σ
T GH GH F
C CH CH F
x
y
kN5.112,075cos0.48:0
kN0.48,030sin:0
θ
θ
Joint G:
T CGF y kN600 =⇒=Σ
By symmetry:
FG = 112.5 kN T , CF = 48.0 kN C
CD = 75 kN C , DF = 60 kN T
EF = 75 kN T , DE = 96.0 kN C
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4/9
Joint C :
°== −7.38
5
4tan
1θ
⎪⎩
⎪⎨⎧
==°−°−=Σ
==°+°−=Σ
T BC BC F
C AC AC F
y
x
kN45.6,07.38cos07.215cos5:0
kN07.2,07.38sin15sin5:0
Joint B:
°== −6.26
4
2tan
1 β
![Page 480: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/480.jpg)
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⎪⎩⎪⎨⎧
==+°−=Σ
==−°=Σ
C BD BDF
T AB ABF
x
y
kN89.12,06.26cos42.14:0
kN42.14,045.66.26sin:0
![Page 481: Mecanica para Ingenieros Estática - Meriam - 6ed (Sol)](https://reader030.fdocuments.net/reader030/viewer/2022021115/577cd7771a28ab9e789f0f63/html5/thumbnails/481.jpg)
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Text Illustrations
To Accompany
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Meriam/Kraige – Statics 6e
Appendix A: Area Moments of Inertia.
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A 01
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A 02
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A_03
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A 04
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A 05
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A 06
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A 07
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P A 8 5
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P A 9 1
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
A di B S f M M f I i
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Appendix B: Summary of Mass Moments of Inertia.
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B 01
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P_04_02
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P_04_12
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P_04_16
Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Appendix D: Useful Tables
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Appendix D: Useful Tables.
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D 03t b l c on t
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D 04 t bl co nt 2
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D 04 t bl co nt 3
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D 04tbl
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D 04t bl c on t
Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 1 : Introduction to Statics.
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Chapter 1 : Introduction to Statics.
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01_01
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 3 : Equilibrium.
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 4 : Structures.
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 5 : Distributed Forces.
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 6 : Friction
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Chapter 6 : Friction.
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Text Illustrations
To Accompany
Meriam/Kraige – Statics 6e
Chapter 7 : Virtual Work.
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