Assignment Problem: A 150 mm thick reinforced concrete slab is supported on all 4 sides as denoted in the diagram.
The nominal moment capacities are
Φmux+ 10 kNm/m
Φmux- 8 kNm/m
Φmuy+ 7 kNm/m
Φmuy- 6 kNm/m
All reinforcing is Grade N.
Permanent load (DL) and imposed load (LL) factors are as given in Lecture 1.
Self-weight is the only permanent load.
Reinforced concrete nominal density is as given in Lecture 1.
1) If the slab is supported on all 4 sides as denoted in the diagram, use yield-line theory to calculate the nominal value of uniformly distributed imposed load (LL) that the slab can support.
2) If the slab is simply supported on all 4 sides (instead of supported as denoted in the diagram), use yield-line theory to calculate the nominal value of uniformly distributed imposed load (LL) that the slab can support.
3) If the slab is supported on all 4 sides as denoted in the diagram, use published coefficients for rectangular slabs with standard support conditions and uniform loading in AS 3600 to calculate the nominal value of uniformly distributed imposed load (LL) that the slab can support.
4) If the slab is simply supported on all 4 sides (instead of supported as denoted in the diagram), use the strip method to calculate the nominal value of uniformly distributed imposed load (LL) that the slab can support. For the strip method distribute the total load 71% spanning in the x direction and 29% spanning in the y direction, and calculate the moments in the strips using elastic analysis
Show all working (including differentiation for the yield-line method).
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