Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 4, Problem 4.3.16P
Find expressions for shear force V and moment Mat x = 2L/3 of beam (a) in terms of peak load intensity q0and beam length variable L. Repeat for beam (b) but at x = L/2.
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An I-beam has a flange width b = 400 mm , height hℎ = 400 mm , web thickness tw = 13 mm , and flange thickness tf = 21 mm . Use the following steps to calculate the shear flow at the point shown, where x = 55 mm .
A) The formula for the shear flow includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia.
B) The shear flow at the point depends on the value of Q for the portion of the upper flange to the right of the point. Calculate the value of Q
C) Use the results from Parts A and B to calculate the shear flow at the point in the upper flange 55 mm to the right of the web if the shear force on the section is V = 4.6 kN
An I-beam has a flange width b = 400 mm , height h = 400 mm , web thickness tw = 13 mm , and flange thickness tf = 21 mm . Use the following steps to calculate the shear flow at the point shown, where x = 55 mm .
A) The formula for the shear flow includes the moment of inertia of the whole cross section, I, about the neutral axis. Calculate the moment of inertia.
B) The shear flow at the point depends on the value of Q for the portion of the upper flange to the right of the point. Calculate the value of Q
C) Use the results from Parts A and B to calculate the shear flow at the point in the upper flange 55 mm to the right of the web if the shear force on the section is V = 4.6 kN
Uniformly distributed load on a simple support beam with a length of 6 metersMaximum that occurs on the cross section when q is appliedIf bending stress is 337.5MPa,How many kN/m is the equal distribution load q?(However, the cross section of the beam is wide x height = 40mm x)100 mm.)
Chapter 4 Solutions
Mechanics of Materials (MindTap Course List)
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- Find expressions for shear force V and moment Mat x = 2L/3 of beam (a) in terms of peak load intensity q0 and beam length variable L. Repeat for beam (b).arrow_forwardA fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.arrow_forwardA simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?arrow_forward
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