A cantilever beam carries the anti-symmetric load shown, where w_o is the peak intensity of the distributed load. Qualitatively, the correct bending moment diagram for this beam is

A beam is made up of two identical bars AB and BC, by hinging them together at B. The end A is built-in (cantilevered) and the end C is simply supported. With the load P acting as shown, the bending moment at A is

A cantilever beam has the square cross section of 10 mm $$ \times $$ 10 mm. It carries a transverse load of 10 N. Considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is

A weighing machine consists of a 2 kg pan resting on a spring in this condition, with the pan resting on the spring, the length of the spring is 200 mm. When a mass of 20 kg is placed on the pan, the length of the spring becomes 100 mm. For the spring, the un-deformed length L and the spring constant K (stiffness) are