Q1: Long and short spans of a two way slab are l_y and l_x and load on the slab acting on strips parallel to l_x and l_y be w_x and w_y respectively. According to Rankine Grashoff theory

ANS:D -

According to the Rankine-Grasfhoff theory for the design of two-way slabs, the moments and shears in both directions (along lx and ly) are calculated separately, and the critical moments and shears are determined by comparing the moments and shears in each direction. The theory assumes that the moments and shears in the two principal directions are independent of each other. Therefore, the moments and shears in the lx direction (short span) are calculated separately from those in the ly direction (long span). The critical moments and shears in each direction are determined by considering the effect of the load acting on strips parallel to lx and ly. The moments and shears are calculated based on the distribution of the applied loads and the stiffness of the slab in each direction. Once the critical moments and shears are determined for both directions, the design of the slab is based on the maximum values of moments and shears obtained from the calculations in each direction. In summary, according to the Rankine-Grasfhoff theory, the design of two-way slabs involves separately calculating the moments and shears in each principal direction and determining the critical values of moments and shears based on the loads acting on strips parallel to lx and ly.