A mass less beam has a loading pattern as shown in figure. The beam is rectangular cross-section with a width of 30 mm and height of 100 mm.

The maximum magnitude of bending stress (in MPa) is given by

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 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

An instantaneous configuration of a four-bar mechanism, whose plane is horizontal, is shown in the figure below. At this instant, the angular velocity and angular acceleration of link $${Q_2}\,\,A$$ are $$\omega = 8\,\,rad/s$$ and $$\alpha = 0$$, respectively, and the driving torque $$(T)$$ is zero. The link $${Q_2}\,\,A$$ is balanced so that its center of mass falls at $${Q_2}.$$

At the instant considered, what is the magnitude of the angular velocity of $${O_4}B?$$