Module 4 : Deflection of Structures
Lecture 3 : Principle of Virtual Work
   
 

Table 4.A1 Evaluation of the integral

 
KiL
1/2 KiL

1/2 K L

2/3 KiL
2/3 KiL
1/3 KiL
1/2 KiL
1/2 KiL
1/3 KiL
1/6 K L
1/3 KiL
5/12 KiL
1/4 KiL
1/6(1 + a ) KiL
1/2 KiL
1/6 KiL
1/6 K L
1/3 KiL
1/4 KiL
1/12 KiL
1/6(1 + b ) KiL

1/2 iL

1/6 iL
1/6
L

1/3 iL

1/12 iL
1/12 iL

1/6((1 + b )+

(1 + a ))iL
2/3 KiL
1/3 KiL
1/3 K L
8/15 KiL
7/15 KiL
1/5 KiL
1/3(1 + ab ) KiL
2/3 KiL
5/12 KiL
1/12 K L
7/15 KiL
8/15 KiL
3/10 KiL

1/12(5 - b -) KiL

2/3 KiL
1/4 KiL
1/12 K L
7/15 KiL
11/30 KiL
2/15 KiL

1/12(5 - a - ) KiL

1/3 KiL
1/14 KiL
1/12 K L
1/5 KiL
3/10 KiL
1/5 KiL

1/12(1 + a + ) KiL

1/3 KiL
1/12 KiL
1/12 K L
1/5 KiL
2/15 KiL
1/30 KiL

1/12(1 + b +) KiL

1/2 KiL
1/6(1+ a ) KiL

1/6 KL ((1 + b )
+ (1 + a ))
1/3(1 + ab ) KiL

1/12(5 - b - ) KiL

1/12(1 + a + ) KiL
1/3 KiL