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 14
14.1
Select Cy (↑ +) as the redundant.
1 kN
x
2m B 2m D 2m
A
C
fCx f
Cy = − = − xC
fCC fCC
Using beam deflection formulas:
1
f xC = − ( x3 − 18 x 2 )
6 EI
72 kN ⋅ m3 /kN
fCC = − fCC = +
EI
x Cy Ay MA SB MB
E1 fxC
(m) (kN/kN) (kN/kN) (kN ⋅ m/kN) (kN/kN) (kN ⋅ m/kN)
0 0 0 1 0 0 0
-0.148(L)
2 -10.67 0.148 0.852 1.111 0.592
0.852(R)
4 -37.33 0.519 0.481 0.889 0.481 0.076
6 -72 1 0 0 0 0
1.0
0.519
0.148
A B D C Cy
1.0
0.852
0.481
A B D C Ay
599
© 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 14_SI.indd 1 2/21/2019
, 14.1 (CONTD.)
1.111 0.889
x “ x “
A B D C
M A`(ü ` M B�“M0B “ 0 ´ A y´
�)ü p Ayp
1 1
` p21
` p21
0.852
0.481
A B
D C
S B
− 0.148
0.592
0.076
A B D C
M B
Chapters_SI.indd 1
Chapters_SI.indd 1
c 2015 cCengage Learning.
2015 Cengage All Rights
Learning. All Reserved. May notMay
Rights Reserved. be scanned, copied or
not be scanned, duplica
copied or
in wholeinorwhole
in part.
or in part.
600
© 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 14_SI.indd 2 1/25/2019
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 14
14.1
Select Cy (↑ +) as the redundant.
1 kN
x
2m B 2m D 2m
A
C
fCx f
Cy = − = − xC
fCC fCC
Using beam deflection formulas:
1
f xC = − ( x3 − 18 x 2 )
6 EI
72 kN ⋅ m3 /kN
fCC = − fCC = +
EI
x Cy Ay MA SB MB
E1 fxC
(m) (kN/kN) (kN/kN) (kN ⋅ m/kN) (kN/kN) (kN ⋅ m/kN)
0 0 0 1 0 0 0
-0.148(L)
2 -10.67 0.148 0.852 1.111 0.592
0.852(R)
4 -37.33 0.519 0.481 0.889 0.481 0.076
6 -72 1 0 0 0 0
1.0
0.519
0.148
A B D C Cy
1.0
0.852
0.481
A B D C Ay
599
© 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 14_SI.indd 1 2/21/2019
, 14.1 (CONTD.)
1.111 0.889
x “ x “
A B D C
M A`(ü ` M B�“M0B “ 0 ´ A y´
�)ü p Ayp
1 1
` p21
` p21
0.852
0.481
A B
D C
S B
− 0.148
0.592
0.076
A B D C
M B
Chapters_SI.indd 1
Chapters_SI.indd 1
c 2015 cCengage Learning.
2015 Cengage All Rights
Learning. All Reserved. May notMay
Rights Reserved. be scanned, copied or
not be scanned, duplica
copied or
in wholeinorwhole
in part.
or in part.
600
© 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 14_SI.indd 2 1/25/2019