Question i3 ]: The lbeam section shown in Figure 3. is subjected to a bending moment applied in a plane parallel to the longitudinal axis {z-axis] of the beam but inclined at an angle B to the left of the vertical. The sense of the bending moment is clockwise when viewed from the left-ha nd edge of the beam section. The neutral axis makes an angle or of T5\" measured counter clockwise from the horizontal. ans r'nrn 2W mm Figure 3: lbeam crosssection a Determine the moments of inertia in and in. around the x and v axes, respectively. [I Mark] b Obtain a relation between or. moments of inertia. and the components of the bending moment. {Given that the Ma axial normal stress a: is related to the bending moment by the flexure formula cl},r = Twhere \"a" is either x or v depending on the plane at which the moment is applied]. [I Mark] c- If the vcomponent of the moment is observed to bend the beam such that the right-hand half is subject to compression and the xcomponent is observed to bend the beam such that the upper part of the beam is under tension. Justify the bending behaviour of each component i.e. is the moments component resulting in a positive or negative bending, and why? [I Marks} d Express d'z as function of x and y for lMyl = 50 kN-r'n [1.5 Marks] e Calculate Hz at: 1. top right edge [ELS Mark] 2. top left edge [n.s Mark] 3. top middle edge [n.s Mark] f Draw the stress distribution. [I Mark]