# HW4 - HOMEWORK PROBLEMS Week 4 Due Friday 7 October 1...

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HOMEWORK PROBLEMS Week 4: Due Friday 7 October 1. Determine the coordinates ¯ x , ¯ y of the centroid C of the area shaded in Figure 1. 1 1 0 x y 2 y = x y = x Figure 1 2. A distributed load w ( x ) = 1 + 3 x - 2 x 2 acts on the cantilever beam AB , as shown in Figure 2, where x is measured in meters and w is in kN/m. Find the reactions (force and moment) at A . 2 1 m (kN/m) x w(x) = 1 + 3x - 2x A B Figure 2 1

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The L-shaped bar ACE in Figure 3 is pinned at A and makes contact through a frictionless roller with the inclined surface at E . It is loaded by a vertical force F at D . Draw a free-body diagram of the bar, determine the reactions at A , and hence find the internal forces (axial force, shear force and bending moment) at the point B . 3 4 F A B C D E a a a a Figure 3 4. Figure 4 shows an L-shaped steel pipe OAB which is bolted to a vertical wall at O and loaded by two horizontal forces at B . Calculate all the reaction forces and moments at the wall O and indicate which moments are bending moments and which are torques. 2 m
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HW4 - HOMEWORK PROBLEMS Week 4 Due Friday 7 October 1...

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