QUESTION FOUR 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 qo = 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 0O if the pins are in double shear and the allowable shear stress is 80 MPa? Note that OA = AB = BC = 1.5m. D Pulley 2.5 m 90 20° 0.75 m -0.75 m 1.5 m _1.5 m _1.5 m Fig. 3
QUESTION FOUR 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 qo = 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 0O if the pins are in double shear and the allowable shear stress is 80 MPa? Note that OA = AB = BC = 1.5m. D Pulley 2.5 m 90 20° 0.75 m -0.75 m 1.5 m _1.5 m _1.5 m Fig. 3
Chapter2: Loads On Structures
Section: Chapter Questions
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Transcribed Image Text:QUESTION FOUR
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 qo = 5 kN/m at O acts on the beam. Assume that canopy weight W = 8 kN and that cable
cross-sectional area is 100 mm?.
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.
D Pulley
2.5 m 90
B
14
20°
0.75 m
F0.75 m
1.5 m
1.5 m
_1.5 m
Fig. 3
3.
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