Manufacturing Engineering & Technology
Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 6, Problem 26QTP

A simply supported rectangular beam is 25 mm wide and 1 m long, and it is subjected to a vertical load of 10 kg at its center. Assume that this beam could be made of any of the materials listed in Table 6.1. Select three different materials, and for each, calculate the beam height that would cause each beam to have the same maximum deflection. Calculate the ratio of the cost for each of the three beams.

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you are analyzing the maximum stress of a rectangular cross-section cantilever beam that is distributed uniformly loaded. The base is varied by a factor of 5.45 by what factor does the height need to vary to keep all other parameters constant.
Bending: Show all Equations Used! Consider a cantilevered, rectangular beam subjected to a load pro- duced by a 1 kg point mass at the (free) tip of the beam. Assume that beam material is made of Aluminum and that the beam is 11 in. long, 1 in. wide and 1/8 in. thick. 1. Based on Euler-Bernoulli beam theory, determine the deflection (in milimeters) of the beam. 2. Determine the longitudinal stress (in MPa), longitudinal strain and transverse strain at the root of the beam.
. Calculate the deflection curve v(x) for Problem 1.

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