1. A part of a building, i.e., Slab 2, occupies a corner bay of a floor...

   

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1. A part of a building, i.e., Slab 2, occupies a corner bay of a floor that has columns at each corner connected by stiff beams in each direction. Slab 1 and slab 3 are resting on 3 beams. Slab 2 is accompanied by two partition walls of height 'H' m. The wall 1 is located at a distance of 0.4 L1 and 0.8 L1 from joint B as shown in figure 1. The live load acting on the slab 1 is Q₁ kN/m², slab 2 is Q₂ kN/m² and slab 3 is Q3 kN/ m³. The weight density of the partition wall could be taken as 20 kN/m³ and that of concrete could be taken as 25 kN/m³. i) Using the work method of yield line theory, analyze the slab 1 and slab 2 by determining the yield resisting moment. (20 Marks) Locate the formation of yield line pattern and collapse load for slab 1. (5 Marks) (20+5=30 Marks) ii) L2 Slab 1 B1 B Wall 1 Wall 2 Slab 2 Figure 1 (slab) H D C -L3- Slab 3 14 15 16 17 18 19 20 21 22 23 Yield line theory problem 1) L1 in 'm' BI in 'm' 12 in 'm' O1(kN/m2) (Live Load acting on Slab 1) 02(kN/m2) (Live Load acting on Slab 2) Height of the wall (H) in 'm Wall thickness in 'm' 9.00 6.48 7,20 11.76 8.23 3.2 0.15 Slab 1 Wall 1 Wall 2 Slab 2 D Slab 3 1. A part of a building, i.e., Slab 2, occupies a corner bay of a floor that has columns at each corner connected by stiff beams in each direction. Slab 1 and slab 3 are resting on 3 beams. Slab 2 is accompanied by two partition walls of height 'H' m. The wall 1 is located at a distance of 0.4 L1 and 0.8 L1 from joint B as shown in figure 1. The live load acting on the slab 1 is Q₁ kN/m², slab 2 is Q₂ kN/m² and slab 3 is Q3 kN/ m³. The weight density of the partition wall could be taken as 20 kN/m³ and that of concrete could be taken as 25 kN/m³. i) Using the work method of yield line theory, analyze the slab 1 and slab 2 by determining the yield resisting moment. (20 Marks) Locate the formation of yield line pattern and collapse load for slab 1. (5 Marks) (20+5=30 Marks) ii) L2 Slab 1 B1 B Wall 1 Wall 2 Slab 2 Figure 1 (slab) H D C -L3- Slab 3 14 15 16 17 18 19 20 21 22 23 Yield line theory problem 1) L1 in 'm' BI in 'm' 12 in 'm' O1(kN/m2) (Live Load acting on Slab 1) 02(kN/m2) (Live Load acting on Slab 2) Height of the wall (H) in 'm Wall thickness in 'm' 9.00 6.48 7,20 11.76 8.23 3.2 0.15 Slab 1 Wall 1 Wall 2 Slab 2 D Slab 3

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