No. Load Direct. b/L e/L b/L e/L b/L e/L b/L e/L b/L e/L Determine Fixed End Moments for Members:1 X-Global For Distributed Load #12 Y-Global 0.0000 -1.0000 1.0000 -1.0000 Loading Functions Evaluated at x = L2 X-Projected Points:
3 X-Global Member #1(X) FEM(L):
Member #1(X) FEM(R):
Point Loads: Member #2(Y) FEM(L):
Member #2(Y) FEM(R):
Member Point Load #1 Point Load #2 Point Load #3 Point Load #4 Point Load #5 Point Load #6 Point Load #7 Point Load #8 Point Load #9 Point Load #10 ) Axial(L):
Member No.Moment #1 Moment #2 Moment #3 Moment #4 Portal Frame Case #1 - Joint 1 Fixed and Joint 4 Fixed:
c/L c/L c/L c/L Member Stiffness Matrices:1 Member #1:2 ###
3 ###
k' 1 =###
###
###
W36x160
Rx (kips) Ry (kips) Mz (ft-k)
x (ft.) y (ft.)
Axial (k) Shear (k) Moment (ft-k) b (ft.)
E (ksi) A (in.^2) I (in.^4) L (ft.) lx ly M (ft-k) x or y (ft.)+M(max) a (ft.)-M(max)
+M(max)
we -M(max)
wb +M(max)
-M(max)
Px (kips) Py (kips) Mz (ft-k)
Member Load NomenclatureDx (in.) Dy (in.) qz (rad.)
Note: Point loads or moments at memberc (ft.)
wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.)
P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips)
M (ft-kips) M (ft-kips) M (ft-kips) M (ft-kips)
22
1 3
0.0 5.0 10.0 15.0 20.0 25.0 30.0
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
X-axis (ft.)Y
-ax
is (
ft.)
3
4
2
1
T15
Sign convention for member end axial force is as follows: Member is in compression when axial force at start joint is positive (+). Member is in tension when axial force at start joint is negative (-).
D25
'E' is the modulus of elasticity for the respective frame members. Typical values are as follows: for steel: E = 29,000 ksi for concrete: E = 57*SQRT(f'c) ksi = 3,122 ksi for f'c = 3,000 psi concrete = 3,605 ksi for f'c = 4,000 psi concrete = 4,030 ksi for f'c = 5,000 psi concrete for wood (Southern Pine): E = 1.4 to 1.6 ksi
G25
'L' is the calculated actual (true) length the particular member. L = SQRT((xj-xi)^2+(yj-yi)^2) where: (xi,yi) = joint start coordinates (xj,yj) = joint end coordinates
H25
'lx' is the calculated X-axis "direction cosine" for the particular member. lx = (xj-xi)/L
I25
'ly' is the calculated Y-axis "direction cosine" for the particular member. ly = (yj-yi)/L
S25
Sign convention: positive (+) = tension in bottom of member. (local to member)
A30
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D32
'Px' is a global X-direction externally applied joint load. The value of 'Px' is positive (+) to right and negative (-) to left, per global axes. See Portal Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 4 are merely added directly to support reactions and are not reflected in member end forces.
E32
'Py' is a global Y-direction externally applied joint load. The value of 'Py' is positive (+) upward and negative (-) downward. See Portal Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 4 are merely added directly to support reactions and are not reflected in member end forces.
F32
'Mz' is a global Z-direction externally applied joint moment. The value of 'Mz' is positive (+) counterclockwise and negative (-) clockwise, per global axes. See Portal Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 4 are merely added directly to support reactions and are not reflected in member end forces.
B33
Note: Joint loads applied at support Joint 1 are merely added directly to support reactions and are not reflected in member end force values.
B36
Note: Joint loads applied at support Joint 4 are merely added directly to support reactions and are not reflected in member end force values.
B38
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C40
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D43
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
E43
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
F43
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
G43
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
H43
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
I43
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
J43
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
K43
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
L43
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
M43
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
N43
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
O43
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
P43
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
Q43
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
R43
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
S43
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
T43
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
U43
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
V43
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
W43
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
C45
"Y-Global" denotes a global Y-direction uniformly distributed load applied over the actual (true) length of the member. "Y-Projected" denotes a global Y-direction uniformly distributed load applied over the horizontal projected length of the member.
C46
"X-Global" denotes a global X-direction uniformly distributed load applied over the actual (true) length of the member. "X-Projected" denotes a global X-direction uniformly distributed load applied over the vertical projected length of the member.
C49
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D52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
F52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
H52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
J52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
L52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
N52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
P52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
R52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
T52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
V52
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
C58
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D61
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
F61
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
H61
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
J61
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
Point Loads: Determine Fixed End Moments for Members:For Distributed Load #1
Member Point Load #1 Point Load #2 Point Load #3 Point Load #4 Point Load #5 Point Load #6 Point Load #7 Point Load #8 Point Load #9 Point Load #10Loading Functions Evaluated at x = L
Member No.Moment #1 Moment #2 Moment #3 Moment #4 Member #2(X) Axial(R):
c/L c/L c/L c/L Member #3(Y) FEM(L):
1 Member #3(Y) FEM(R):
2 Member #3(Y) Axial(L):
3 Member #3(Y) Axial(R):
4 Member #3(X) FEM(L):
Member #3(X) FEM(R):
Member #3(X) Axial(L):
Rx (kips) Ry (kips) Mz (ft-k)
x (ft.) y (ft.)Axial (k) Shear (k) Moment (ft-k)
b (ft.)
M (ft-k) x or y (ft.)+M(max)
E (ksi) A (in.^2) I (in.^4) L (ft.) lx ly -M(max)
+M(max)
-M(max)
we +M(max)
wb -M(max)
+M(max) a (ft.)-M(max)
Px (kips) Py (kips) Mz (ft-k)
Member Load Nomenclature
Note: Point loads or moments at member Dx (in.) Dy (in.) qz (rad.)
wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.) wb (k/ft.) we (k/ft.)
c (ft.)
P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips) P (kips)
M (ft-kips) M (ft-kips) M (ft-kips) M (ft-kips)
1 4
0.0 5.0 10.0 15.0 20.0 25.0 30.0
0.0
2.0
4.0
6.0
8.0
10.0
12.0
14.0
16.0
X-axis (ft.)Y
-ax
is (
ft.)
444
5
2
1
3
2 3
T12
Sign convention for member end axial force is as follows: Member is in compression when axial force at start joint is positive (+). Member is in tension when axial force at start joint is negative (-).
S24
Sign convention: positive (+) = tension in bottom of member. (local to member)
D26
'E' is the modulus of elasticity for the respective frame members. Typical values are as follows: for steel: E = 29,000 ksi for concrete: E = 57*SQRT(f'c) ksi = 3,122 ksi for f'c = 3,000 psi concrete = 3,605 ksi for f'c = 4,000 psi concrete = 4,030 ksi for f'c = 5,000 psi concrete for wood (Southern Pine): E = 1.4 to 1.6 ksi
G26
'L' is the calculated actual (true) length the particular member. L = SQRT((xj-xi)^2+(yj-yi)^2) where: (xi,yi) = joint start coordinates (xj,yj) = joint end coordinates
H26
'lx' is the calculated X-axis "direction cosine" for the particular member. lx = (xj-xi)/L
I26
'ly' is the calculated Y-axis "direction cosine" for the particular member. ly = (yj-yi)/L
A31
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D33
'Px' is a global X-direction externally applied joint load. The value of 'Px' is positive (+) to right and negative (-) to left, per global axes. See Gable Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 5 are merely added directly to support reactions and are not reflected in member end forces.
E33
'Py' is a global Y-direction externally applied joint load. The value of 'Py' is positive (+) upward and negative (-) downward. See Gable Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 5 are merely added directly to support reactions and are not reflected in member end forces.
F33
'Mz' is a global Z-direction externally applied joint moment. The value of 'Mz' is positive (+) counterclockwise and negative (-) clockwise, per global axes. See Gable Frame Nomenclature illustration above. Note: Joint loads applied at support Joints 1 and/or 5 are merely added directly to support reactions and are not reflected in member end forces.
B34
Note: Joint loads applied at support Joint 1 are merely added directly to support reactions and are not reflected in member end force values.
B38
Note: Joint loads applied at support Joint 5 are merely added directly to support reactions and are not reflected in member end force values.
B40
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C42
Do not use "Space Bar" to clear contents of unused cells. "Highlight" those cells which are to be cleared and click on the Right Mouse Button and select "Clear Contents".
D45
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
E45
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
F45
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
G45
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
H45
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
I45
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
J45
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
K45
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
L45
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
M45
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
N45
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
O45
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
P45
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
Q45
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
R45
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
S45
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
T45
'b/L' is the ratio of the distance, 'b', from the start joint of the member to the beginning of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
U45
'wb' is the value of the distributed load at the beginning of the load. See Member Load Nomenclature illustration above.
V45
'e/L' is the ratio of the distance, 'e', from the start joint of the member to the end of the distributed load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
W45
'we' is the value of the distributed load at the end of the load. See Member Load Nomenclature illustration above.
C47
"Y-Global" denotes a global Y-direction uniformly distributed load applied over the actual (true) length of the member. "Y-Projected" denotes a global Y-direction uniformly distributed load applied over the horizontal projected length of the member.
C48
"X-Global" denotes a global X-direction uniformly distributed load applied over the actual (true) length of the member. "X-Projected" denotes a global X-direction uniformly distributed load applied over the vertical projected length of the member.
C49
"Y-Global" denotes a global Y-direction uniformly distributed load applied over the actual (true) length of the member. "Y-Projected" denotes a global Y-direction uniformly distributed load applied over the horizontal projected length of the member.
C50
"X-Global" denotes a global X-direction uniformly distributed load applied over the actual (true) length of the member. "X-Projected" denotes a global X-direction uniformly distributed load applied over the vertical projected length of the member.
C53
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D56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
F56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
H56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
J56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
L56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
N56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
P56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
R56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
T56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
V56
'a/L' is the ratio of the distance, 'a', from the start joint of the member to the point load over the actual member length, 'L'. See Member Load Nomenclature illustration above.
C64
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D67
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
F67
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
H67
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.
J67
'c/L' is the ratio of the distance, 'c', from the start joint of the member to the externally applied moment over the actual member length, 'L'. See Member Load Nomenclature illustration above.