INSTRUCTOR'S SOLUTIONS MANUAL
TO ACCOMPANY
Structural Analysis
Sixth Edition, SI Edition
ASLAM KASSIMALI
Southern Illinois University—Carbondale
, Contents
Chapter 2............................................................................................................................. 1
Chapter 3........................................................................................................................... 18
Chapter 4........................................................................................................................... 62
Chapter 5......................................................................................................................... 117
Chapter 6......................................................................................................................... 200
Chapter 7......................................................................................................................... 281
Chapter 8......................................................................................................................... 362
Chapter 9......................................................................................................................... 423
Chapter 10....................................................................................................................... 447
Chapter 12....................................................................................................................... 478
Chapter 13....................................................................................................................... 508
Chapter 14....................................................................................................................... 599
Chapter 15....................................................................................................................... 631
Chapter 16....................................................................................................................... 685
Chapter 17....................................................................................................................... 728
Appendix B ...................................................................................................................... 751
Appendix C ...................................................................................................................... 761
Appendix D ...................................................................................................................... 762
, Chapter 15
15.1
Fixed-end moments:
FEM AC = +40 kN ⋅ m; FEM CA = −80 kN ⋅ m
FEM CE = +37.5 kN ⋅ m; FEM EC = −37.5 kN ⋅ m
Slope-deflection equations:
M AC = 0.333EIθC + 40; M CA = 0.667 EIθC − 80
M CE = 0.667 EIθC + 37.5; M EC = 0.333EIθC − 37.5
Equilibrium equation: M CA + M CE = 0
(0.667 EIθC − 80) + (0.667 EIθC + 37.5) = 0
1.334 EIθC − 42.5 = 0
EIθC = 31.86 kN ⋅ m 2
Member end moments: Substituting the numerical value of EIθC into the slop-deflection
equations, we obtain:
M AC = 50.6 kN ⋅ m; M CA = −58.8 kN ⋅ m
M CE = 58.8 kN ⋅ m; M EC = −26.9 kN ⋅ m
631
© 2020 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website,
in whole or in part.
INDD_Chapter 15_SI.indd 1 2/2/2019
, 15.1 (CONTD.)
90 kN 50 kN
C Reactions
A B D E
50.6 26.9
28.65 91.67 19.68
28.65 30.3
D E
A B C
Shear
–19.68
Diagram (kN)
61.35
64
32.2
A C E Bending
B D Moment
–26.9 Diagram (kN ¨ m)
–50.6
–58.8
© 2020 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website,
in whole or in part.
TO ACCOMPANY
Structural Analysis
Sixth Edition, SI Edition
ASLAM KASSIMALI
Southern Illinois University—Carbondale
, Contents
Chapter 2............................................................................................................................. 1
Chapter 3........................................................................................................................... 18
Chapter 4........................................................................................................................... 62
Chapter 5......................................................................................................................... 117
Chapter 6......................................................................................................................... 200
Chapter 7......................................................................................................................... 281
Chapter 8......................................................................................................................... 362
Chapter 9......................................................................................................................... 423
Chapter 10....................................................................................................................... 447
Chapter 12....................................................................................................................... 478
Chapter 13....................................................................................................................... 508
Chapter 14....................................................................................................................... 599
Chapter 15....................................................................................................................... 631
Chapter 16....................................................................................................................... 685
Chapter 17....................................................................................................................... 728
Appendix B ...................................................................................................................... 751
Appendix C ...................................................................................................................... 761
Appendix D ...................................................................................................................... 762
, Chapter 15
15.1
Fixed-end moments:
FEM AC = +40 kN ⋅ m; FEM CA = −80 kN ⋅ m
FEM CE = +37.5 kN ⋅ m; FEM EC = −37.5 kN ⋅ m
Slope-deflection equations:
M AC = 0.333EIθC + 40; M CA = 0.667 EIθC − 80
M CE = 0.667 EIθC + 37.5; M EC = 0.333EIθC − 37.5
Equilibrium equation: M CA + M CE = 0
(0.667 EIθC − 80) + (0.667 EIθC + 37.5) = 0
1.334 EIθC − 42.5 = 0
EIθC = 31.86 kN ⋅ m 2
Member end moments: Substituting the numerical value of EIθC into the slop-deflection
equations, we obtain:
M AC = 50.6 kN ⋅ m; M CA = −58.8 kN ⋅ m
M CE = 58.8 kN ⋅ m; M EC = −26.9 kN ⋅ m
631
© 2020 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website,
in whole or in part.
INDD_Chapter 15_SI.indd 1 2/2/2019
, 15.1 (CONTD.)
90 kN 50 kN
C Reactions
A B D E
50.6 26.9
28.65 91.67 19.68
28.65 30.3
D E
A B C
Shear
–19.68
Diagram (kN)
61.35
64
32.2
A C E Bending
B D Moment
–26.9 Diagram (kN ¨ m)
–50.6
–58.8
© 2020 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website,
in whole or in part.
