A simply supported beam $$AB$$ has the bending moment diagram as shown in the following figure :

The beam is possibly under the action of following loads

A long shaft of diameter $$d$$ is subjected to twisting moment $$T$$ at its ends. The maximum normal stress acting at its cross-section is equal to

$${\rm I}$$-section of a beam is formed by gluing wooden planks as shown in the figure below. If this beam transmits a constant vertical shear force of $$3000$$ $$N$$, the glue at any of the four joints will be subjected to a shear force (in $$kN$$ per meter length ) of

For the section shown below, second moment of the area about an axis $$d/4$$ distance above the bottom of the area is