During laboratory testing of an 6-inch aluminum-alloy rod with a cross sectionalarea of 0.32in², a tensile load of 50,000 lbs.is applied. Ifthe cross sectional areadecreases to 0.3188in? and lengthens to 6.022 inches, what is the Modulus ofElasticity and Poisson's Ratio?E = 6/ɛV == -E(lateral)/ɛ(axial)

Given data : Initial Length (Li)=6 inInitial area (AI)=0.32 in2Tensile load (P)=50000 lbsFinal area…

Answered: During laboratory testing of an 6-inch…

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

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The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 404 mm2, 642 mm2 , and 271 mm2 respectively.Determine the change in length (in mm) of the bar if P = 28943 N.The moduli of elasticity are 80.75 GPa for bronze ,73.14 GPafor aluminum , and 203.66 GPa for steel . Round off the final answer to four decimal places.
An alloy steel having a diameter of 0.45 in. extends 0.002 in. over a gage length of 2.2 in. due to a tensile load of 3900 lb. What is the modulus of elasticity of this alloy steel? A)29,010 ksi B)27,000 ksi C)30,000 ksi D)28,000 ksi
A specimen is originally 1 ft long, has a diameter of 0.5 in., and is subjected to aforce of 500 lb. When the force is increased from 500 lb to 1800 lb, the specimenelongates 0.009 in. Determine the modulus of elasticity for the material if it remainslinear elastic.Note: Draw the given data.
A steel block is axially loaded with ? = 10 ?? as shown in the figure with length equal to 3? and crosssectional area equal to 1000 ??2 fits snugly between two rigid walls. Determine the change in length due to the applied load. Use ? = 0.30. (Answer in three decimal places and in mm)
A piece of steel wire 100 feet long, with a cross-sectional area of 0.004 aq. in., must be stretched with a pull of 16 pounds when in use . if the modulus of elacticity of steel is 30,000 psi: a) what is the total elognation in the entire length of the wire? b) what tensile stress is producted by the pull?
A tensile force of 20 kN is applied to a specimen with a gage length of 50mm. It isthen noted that the distance between the gage marks became 50.122mm. a,) What isthe modulus of elasticity of the specimen if its diameter is 10mm? b.) What is the axialstress of the specimen? Solution must have Free Body Diagram/drawing.
A 59 kN axial load is applied to a metal bar with a rectangular cross-section, 11 mm wide by 21 mm thick. While the load is applied, the bar elongates 2.5 mm. The modulus of elasticity and the Poisson's ratio are 100 GPa and 0.35, respectively. Assuming that the bar is still behaving elastically, how long is the original length of the bar in meters? Round your answer to 1 decimal place.
The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The cross-sectional area of the steel, bronze, and aluminum are 0.75 in2, 1.08 in2, and 0.56 in2 respectively.Determine the change in length (in inches) of the bar if P = 11599 lb.The moduli of elasticity are 30022 ksi for steel ,12071 ksifor bronze, and 10028 ksi for aluminum. Round off the final answer to four decimal places.
A 2 m long steel wire is fixed and hanging vertically with a tensile loadof 2 kN and causes it to stretch by 4 mm. Determine the diameter ofthe steel wire when the modulus of elasticity is 205 GPa.A. 3.5 mm B. 5.5 mm C. 4.5 mm D. 2.5 mm
A joint is made by gluing two plywood gussets of thickness t = 0.56 in to wood boards. Determine the tensile stress for the plywood (in psi) if the dimension b = 12.65 in and the applied force is P = 7475 lb. Round off the final answer to three decimal places.
A cylindrical rod of steel (E = 207 GPa),4mm in diameter is to be deformed by atensile force. Determine the force (in N)that will produce an elastic reduction of2.5 x 10-3mm in diameter if Poisson’sratio is 0.30. Show complete solution and formulas used.

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