A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB = 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = 70 GPa, Oy,Dc = 200 MPa. Note that points C and D are at the same vertical position. D 4 m q 3m 3m Figure 2.1. Rigid beam with distributed load

A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB = 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = 70 GPa, Oy,Dc = 200 MPa. Note that points C and D are at the same vertical position. D 4 m q 3m 3m Figure 2.1. Rigid beam with distributed load

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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