Solutions Manual For Matrix Analysis of Structures, 3rd Edition, Kassimali ; Solutions For Matrix Analysis All Chapters Covered

SOLUTIONS MANUAL

Matrix Analysis of Structures 3E
CHAPTER NO 01 : INTRODUCTION
No Solutions Available For Chapter No. 01.



CHAPTER NO. 02: MATRIX ALGEBRA




-5 -15 35 -5 30
2 6 -14 2 -12
2.3 C=AB = [3 -7 1 -6]=
-8 -24 56 -8 48
4 12 -28 4 -24
-5
2
D=BA =[3 -7 1 -6] =-15-14- 8- 24=-61
-8
4

,
,
,  −9 0
 13  −7 0
20  15
10 6
−4  
−2 
−1
2.9 [ A][ B][C ] =  8 −3  6 16 9  
−1 2 −8
   16 12 2 8
 −11 −5

 −135 9 36 
 315  −7 0
128 
10 6
−2 
307
= −1 2 −8
 102 −56 −59  
   16 8
−1 
12 2
 −195 −69

 1512 −900 −810 270 
 −464 5300 −310 410 
=
 −1602 200 942 −360 
 
 1418 −2100 −620 130 

 1512 −464 −1602 1418 
 −900 5300 200 −2100 
=
T
([ A][ B][C ])  −810 −310 942 −620 
(1)
 
 270 410 −360 130 

 −7 −1 16 
 10  15 6
2 12    −9 13 8 −11
= −1 16  
T T T
[ C ] [ B ] [ A]  6 −8 2  −5
 0 20 −3
   −4 9 
 0 −2 8 

 −168 86 
 100 200   −9 13 8 −11
=
 90 −74   0 20 −3 −5
 
 −30 40 

 1512 −464 −1602 1418
 −900 5300 200 −2100 
= (2)
 −810 −310 942 −620 
 
 270 410 −360 130 
From Eqs. (1) and (2), we can see that
T T T T
([ A][ B ][C ]) = [C ] [ B ] [ A]