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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Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

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 =
are at the same vertical position.
70 GPa, Oy,Dc = 200 MPa. Note that points C and D
4 m
q
B
3 m
3m
Figure 2.1. Rigid beam with distributed load

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