Question

2. (10 points) Consider the beam shown below: (a) draw the complete shear diagram with corresponding labels and units (b) draw the complete moment diagram with corresponding labels and units (c) find the magnitude of maximum compressive normal stress (d) find the magnitude of the maximum tensile normal stress Give the value and location for all quantities along the beam and on the cross section. NOTE: The moment of inertia is I, = 99.75 in* and the centroid is given. Clearly label all significant quantities in your shear and moment diagrams. 1 in K 1 in i 6 in 2.5 in 1 in 9 in 15 k-ft 2.5 kip/ft 2.5 kip/ft B D 5 ft 5 ft 5 ft 17.25 kip 7.75 kip

Answer 1

Shear force diagram 4.75 kip + + E B 19# - 7.75 kip - 12.5 kib b) Bending nuoment equation: Portion AB Min from A) = 15 -2.50 = 15-1.250² MB - 15 - 1.25x52 - 16.25 kib-ft М(и) Is 125n² = 0 = n = 112 ~ 3. 4641 ft Portion BC