Consider the beam section illustrated in the figure to the right. The thickness of each element of the beam is 2 mm. The beam carries a shearing force of V= 5 kN acting vertically through the centroid of the section. The second moment of area for the section is ???? = 8.734 × 105mm4,
and the centroid of the section is located at??¯= XXXXXXXXXXmm.
(a) Determine the shear stress at the four points in the beam section, labelled (i), (ii), (iii), and (iv) [20 marks]. (b) Produce a plot of the shear stress within the section showing the direction (using arrows on the section) and the distribution of the magnitude of shear stress (using line plots adjacent to the section), noting the shape of the distributions and key values [20marks].