1380 lb 3355 lb-ft 3.5' 3.5' 3.5'

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. Additionally: Let a = 3.1 m, b = 5.9 m, w = 34 kN/m, P = 48 kN, Q = 34 kN, and Mc = 155 kN-m. Construct the shear-force and bending-moment diagrams P A В E Mc a b a а Determine the shear force acting at each of the following locations: (a)x = 3.1 – m (i.e., just to the left of support B) (b) x = 3.1 + m (i.e., just to the right of support B) (c)x = 12.1 – m (i.e., just to the left of support D) (d) x = 12.1 + m (i.e., just to the right of support D)

Consider the pipe structure projecting from the wall at point “A”. Find the resultant force and couple moment acting at point “A”.   Express the resultant force and couple moment in Cartesian (vector) form.  (Hint: the 1,000 lb force needs to be expressed as a vector and the “dimension box” provides the information necessary to define the unit vector in the direction of F.)

Calculate the moment created by Fabout the origin using a scalar method of your choice. Express the result as a Cartesian vector. The wrench and force vector lie in the xy plane. 12" 120° F = 40 Ibs X