2. L
๏ก
L
/ 2
L / 2
L
/ 2
๏ฆ
๏ฆ
Internal Energy = External Energy
Internal Energy = Moment * rotation * length of projected yield line
External Energy =Area * Load * Average moved distance for each right half slab
W
/ 2
๏ฆ
๏ฆ
/ 2
L
/ 2
L
3. L
๏ก
L
/ 2
L / 2
L
/ 2
๏ฆ
๏ฆ
W
/ 2
๏ฆ
๏ฆ
Internal Energy = Moment * rotation * length of projected yield line
?
?
/ 2
๏ฆ
๏
/ 2
L
๏
2 / 2
tan
L
๏ฆ ๏
๏ฝ
2 2 / 2
small angle, tan
L
For ๏ฆ ๏ฆ
๏ฝ
๏
๏ฝ
2 / 2
L
๏ฆ ๏
๏ฝ
4
L
๏ฆ ๏
๏ฝ
4
Internal Energy * )
(M * *2
L
L
๏ก
๏
๏ฝ
Internal Energy 8M๏ก
๏ฝ ๏
4. L
๏ก
L
/ 2
L / 2
L
/ 2
๏ฆ
๏ฆ
W
/ 2
๏ฆ
๏ฆ
๏
External Energy =Area * Load * Average moved distance for each right half slab
2
External E [(0.5* * ) * ( ) * ( )]*4
3
nergy L
L W
๏ก ๏
๏ฝ
Average moved distance for each triangle=
3
๏
2
3
External Energy WL๏ก๏
๏ฝ
5. L
๏ก
L
/ 2
L / 2
L
/ 2
๏ฆ
๏ฆ
W
/ 2
๏ฆ
๏ฆ
๏
Internal Energy = External Energy
2
8M
3
WL๏ก
๏ก ๏
๏ ๏ฝ
2
24
M WL
๏ฝ