Applied Statics and Strength of Materials (6th Edition)
Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 9, Problem 9.13P

Why is strain unitless (or dimensionless)?

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The relationship between true strain (ɛ-) and engineering strain (ɛ) in a uniaxial tension test is given as (a) & = In (1 + &7) (c) &7= In (1+ E) (b) ɛg = In (1- E) (d)= in (1- E) %3D %3D
By application of tensile force, the cross-sectional area of bar Pis first reduced by 30% and then by an additional 20% Another bar Q of the same material is reduced in cross-sectional area by 50% in a single step by applying tensile force After deformation, the true strain in bar Pand bar Q will, respectively be (a) 0.5 and 05 (b) 0.58 and 0.69 (c) 0.69 and 0.69 (d) 0.78 and 1.00

Chapter 9 Solutions

Applied Statics and Strength of Materials (6th Edition)

Ch. 9 - Compute the force required to punch a...Ch. 9 - The 34 — in. — diameter bolt shown is subjected to...Ch. 9 - Why is strain unitless (or dimensionless)?Ch. 9 - (a) Given =1.2in. and L=100ft calculate (b) Given...Ch. 9 - A short compression member 2 in. by 2 in. in cross...Ch. 9 - A 100-ft-long rod is suspended from one end. The...Ch. 9 - Compute the total elongation of a steel bar,...Ch. 9 - A steel rod 34 in. in diameter and 25 ft long is...Ch. 9 - An aluminum rod 25mm in diameter and 4m long is...Ch. 9 - A steel rod 10 ft long is made up of two 5 ft...Ch. 9 - A titanium alloy bar elongates 0.500 in. when...Ch. 9 - Write a program that will calculate the allowable...Ch. 9 - Write a program that will compute stress, strain,...Ch. 9 - The Viking Bin Company manufactures suspended bins...Ch. 9 - Write a computer program that will calculate the...Ch. 9 - The joint between a diagonal and a chord in a...Ch. 9 - In Problem 9.26, find the required length of the...Ch. 9 - A column is supported by a base plate, pedestal,...Ch. 9 - If the soil pressure under the footing of Problem...Ch. 9 - A hopper weighing 75 kN is supported by three...Ch. 9 - A steel bar has a rectangular cross section 25 mm...Ch. 9 - A steel wire is suspended vertically from its...Ch. 9 - A W1240 shape is subjected to a tensile load of...Ch. 9 - Calculate the required diameter of steel tie rods...Ch. 9 - A 30-ft-long steel rod of circular cross section...Ch. 9 - Consider the bolted lap joint shown in Figure...Ch. 9 - An inclined member is braced with a glued block,...Ch. 9 - Calculate the force a punch press must exert if it...Ch. 9 - A 34 - in. - diameter punch is used to punch a...Ch. 9 - A control arm is keyed to a 1-in. -diameter shaft...Ch. 9 - Calculate the required width b for the key of...Ch. 9 - A 25-mm-diameter aluminum rod, 3 m long, is...Ch. 9 - A short timber post of Douglas fir is subjected to...Ch. 9 - A 1 00-ft surveyor’s steel tape with a...Ch. 9 - An 18-in-long steel rod is subjected to a tensile...Ch. 9 - Compute the magnitude of the tensile load that...Ch. 9 - A 5-mm-diameter steel wire, 18 m in length, is...Ch. 9 - A structural steel rod 112 in. in diameter and 20...Ch. 9 - A rectangular structural steel eyebar 34 in. thick...Ch. 9 - 9.50 A in. — diameter steel rod, 100 ft long, is...Ch. 9 - For the truss shown, compute the total deformation...Ch. 9 - A steel bar with a cross section of 12 in. by 12...Ch. 9 - Rework Problem 9.52 , changing the second load...Ch. 9 - In the structure shown, the tie-back BC is a round...Ch. 9 - A hook is suspended by two steel wires, as shown....Ch. 9 - The trolley of a small hoist is supported on a...Ch. 9 - The steel piston rod to the master cylinder has a...Ch. 9 - A stranded steel brake cable is composed of 7...Ch. 9 - The piston of a steam engine is 400 mm in diameter...
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An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY