(a) Figure Q2.a shows a rectangular concrete slab which is subject to a uniformly distributed load...

 

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(a) Figure Q2.a shows a rectangular concrete slab which is subject to a uniformly distributed load with intensity q kN/m² and the yield line pattern of the slab. Use the principle of virtual work for energy equilibrium to calculate the moment resistance per unit length in terms of q, x and y. Legend: Simply support //// Fixed support XXXX 5m y 10m Figure Q2.a [15 marks] (b) The slab illustrated in Figure Q2.b is to be designed to sustain a uniformly distributed load with intensity w kN/m². Using an appropriate configuration of x and y strips for the load pattern, find the maximum bending moment in each strip in terms of w and L and sketch the bending moment diagrams for each strip. L/4 L L/4 1w₁ = w/21 L/4 W₁ = 0 W₁ = w/2 Wx = w/2 W₁ = w W = W/2 * L/2 W₁ = W W₁ = 0 W₁ = 0 W₁ = w L/4 wx = w/2 w₁ = w/2 Wx=0 W₁ = w L. Figure Q2.b Wx=w W₁ = 0 |w₁ = w/2 Wy=w/2 [10 marks] (a) Figure Q2.a shows a rectangular concrete slab which is subject to a uniformly distributed load with intensity q kN/m² and the yield line pattern of the slab. Use the principle of virtual work for energy equilibrium to calculate the moment resistance per unit length in terms of q, x and y. Legend: Simply support //// Fixed support XXXX 5m y 10m Figure Q2.a [15 marks] (b) The slab illustrated in Figure Q2.b is to be designed to sustain a uniformly distributed load with intensity w kN/m². Using an appropriate configuration of x and y strips for the load pattern, find the maximum bending moment in each strip in terms of w and L and sketch the bending moment diagrams for each strip. L/4 L L/4 1w₁ = w/21 L/4 W₁ = 0 W₁ = w/2 Wx = w/2 W₁ = w W = W/2 * L/2 W₁ = W W₁ = 0 W₁ = 0 W₁ = w L/4 wx = w/2 w₁ = w/2 Wx=0 W₁ = w L. Figure Q2.b Wx=w W₁ = 0 |w₁ = w/2 Wy=w/2 [10 marks]