The cantilever beam shown is subjected to a concentrated load of P. The cross-sectional dimensions of the wide-flange shape are also shown, where bf = 7.00 in., d = 14.0 in., tf = 0.475 in., tw = 0.350 in. (a) Compute the value of Q that is associated with point K, which is located yk = 3.5 in. above the centroid of the wide-flange shape. (b) If the allowable shear stress for the wide-flange shape is τallow= 13 ksi, determine the maximum concentrated load P than can be applied to the cantilever beam. Determine the moment of inertia Iz1 for the top flange (1) about the z centroidal axis of the cross-section. Answer: Iz1 =      in.4. Determine the moment of inertia Iz2 for the bottom flange (2) about the z centroidal axis of the cross-section. Answer: Iz2 =       in.4. Determine the moment of inertia Iz3 for the web (3) about the z centroidal axis of the cross-section. Note that the centroid of the web is also the centroid of the cross-section. Answer: Iz3 =        in.4.

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Plane and Space Trusses

In civil engineering, a truss is the most important structure that forms the most fundamental member of any building structure and commercial complexes. Trusses are composed of individual members or links that are interconnected by suitable joints, such as rivets, welds, or bolts, and nuts. In trusses, the interconnection leads to the formation of a series of triangles joined together such that all the triangular members behave as a single rigid body. In a simple truss, three members are connected to form a truss member. In trusses, the force always acts at the joints or the interconnection between the individual members.