Which one of the following diagrams shows correctly the distribution of transverse shear stress across the depth h of a rectangular beam subjected to varying bending moment along its length?

The three - dimensional state of stress at a point is given by: $$$\left[ \sigma \right] = \left[ {\matrix{ {30} & {10} & { - 10} \cr {10} & 0 & {20} \cr { - 10} & {20} & 0 \cr } } \right]MN/{m^2}$$$

The shear stress in the $$x-y$$ plane at the same point is then equal to

In the Rankine cycle when super-heated steam is used:

A power station produces $$500$$ $$MW$$ of power. Assuming a plant thermal efficiency of $$33.3$$ percent, calculate the rate of cooling water flow required in tons per hour, if the rise of cooling water temperature is to be restricted to $${5^ \circ }C.\,\,\,$$ The specific heat of the water used is $$4.2$$ $$kJ/kg$$-$$K.$$