Answer to Question #302415 in Civil and Environmental Engineering for Chacks

Question

Continuous cable ADB runs over a small frictionless pulley at D to support beam OABC which is

part of an entrance canopy for a building (see figure 3). A downward distributed load with peak

intensity q0 = 5 kN/m at O acts on the beam. Assume that canopy weight W = 8 kN and that cable

cross-sectional area is 100 mm2

.

a) Find cable force T and pin support reactions at O and D

b) Find the normal stress in the cable in the cable ADB

c) Determine the required diameter of pins A, B, D and O if the pins are in double shear and

the allowable shear stress is 80 MPa? Note that OA = AB = BC = 1.5m.

Answer 1

Answer is given below: