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 6
6.1
M
A B
Ay = M By = M
L L
x
L
M M
Mx “ M ´ pxq “ pL ´ xq
L L
d2 y M
2
“ pL ´ xq
dx EIL
ż ˆ ˙
dy M M x2
θ“ “ pL ´ xqd x “ Lx ´ ` C1
dx EIL EIL 2
ż „ ˆ ˙ j
M x2
y“ Lx ´ ` C1 d x
EIL 2
ˆ 2 ˙
M Lx x3
“ ´ ` C1 x ` C2
EIL 2 6
Boundary Conditions:
at x “ 0, y“0 6 C2 “ 0
ML
at x “ L, y“0 6 C1 “ ´
3E I
M
θ “´ p3x 2 ´ 6L x ` 2L 2 q
6E I L
M
y“´ px 3 ´ 3L x 2 ` 2L 2 xq
6E I L
200
© 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.
, 6.2
M M
A B
x
L
Mx “ M
d2 y M
2
“
dx żE I
dy M Mx
θ“ “ dx “ ` C1
dx EI EI
ż ˆ ˙
Mx Mx2
y“ ` C1 d x “ ` C1 x ` C2
EI 2E I
Boundary Conditions:
at x “ 0, y“0 6 C2 “ 0
ML
at x “ L, y “ 0 6 C1 “ ´
ˆ ˙ 2E I
M L Mx
θ“ x´ ; y“ px ´ Lq
EI 2 2E I
201
© 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 6
6.1
M
A B
Ay = M By = M
L L
x
L
M M
Mx “ M ´ pxq “ pL ´ xq
L L
d2 y M
2
“ pL ´ xq
dx EIL
ż ˆ ˙
dy M M x2
θ“ “ pL ´ xqd x “ Lx ´ ` C1
dx EIL EIL 2
ż „ ˆ ˙ j
M x2
y“ Lx ´ ` C1 d x
EIL 2
ˆ 2 ˙
M Lx x3
“ ´ ` C1 x ` C2
EIL 2 6
Boundary Conditions:
at x “ 0, y“0 6 C2 “ 0
ML
at x “ L, y“0 6 C1 “ ´
3E I
M
θ “´ p3x 2 ´ 6L x ` 2L 2 q
6E I L
M
y“´ px 3 ´ 3L x 2 ` 2L 2 xq
6E I L
200
© 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.
, 6.2
M M
A B
x
L
Mx “ M
d2 y M
2
“
dx żE I
dy M Mx
θ“ “ dx “ ` C1
dx EI EI
ż ˆ ˙
Mx Mx2
y“ ` C1 d x “ ` C1 x ` C2
EI 2E I
Boundary Conditions:
at x “ 0, y“0 6 C2 “ 0
ML
at x “ L, y “ 0 6 C1 “ ´
ˆ ˙ 2E I
M L Mx
θ“ x´ ; y“ px ´ Lq
EI 2 2E I
201
© 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.
