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L
๏ก
L
W
Design moment ?
How to determine Design moment for
aSquare slab using Yield lineAnalysis?
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
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 ๏„
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
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
Yield line square slab

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Yield line square slab

  • 1. L ๏ก L W Design moment ? How to determine Design moment for aSquare slab using Yield lineAnalysis?
  • 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