Problem I. In a high-rise building construction, a boom is being used to efficiently transport materials from the ground to a certain level in the building. Shown below is a figure of the boom supporting the load 'P. 100 mm -87.5 mm 2P 12.5 mm dia α 10 m A B -10 m- At the right is the support detail at B. a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174 mm?? b) Calculate the shear stress in the pin (in MPa). c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of the cable to sufficiently withstand the force it is subjected to?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.10.7P: Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of...
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Note: P = 136 kN
Problem I. In a high-rise building construction, a boom is being used to efficiently transport materials
from the ground to a certain level in the building. Shown below is a figure of the boom supporting the
load 'P.'
-100 mm
87.5 mm
2P
12.5 mm
dia
19 m
A
B
-10 m-
At the right is the support detail at B.
a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174
mm??
b) Calculate the shear stress in the pin (in MPa).
c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of
the cable to sufficiently withstand the force it is subjected to?
Transcribed Image Text:Problem I. In a high-rise building construction, a boom is being used to efficiently transport materials from the ground to a certain level in the building. Shown below is a figure of the boom supporting the load 'P.' -100 mm 87.5 mm 2P 12.5 mm dia 19 m A B -10 m- At the right is the support detail at B. a) What is the normal stress (in MPa) the boom is subjected to if its cross sectional area is 1174 mm?? b) Calculate the shear stress in the pin (in MPa). c) If the allowable stress in the steel cable AC is 170 MPa, what should be size (diameter, in mm) of the cable to sufficiently withstand the force it is subjected to?
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