The stress-strain relation of an aluminum alloy bar having a length of 2 m anda diameter of 10 mm is expressed by the equation31 +8 =70,000where o is in MPa. If the rod is axially loaded by a tensile force of 20 kN andlhen unloaded, whal is the permanent deformation of the bar?

Calculate stress by using the following equation: σ=Pπ4d2 Here, Load applied on the rod is P and…

Answered: The stress-strain relation of an…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m 5KN 0.6m A 20KN 3) What is the deformation &cn in mm? A=800 mm? A=1,200 mm²
A prismatic aluminum bar has cross-sectional dimensions 40 x 60 mm and a length of 350 mm. The modulus of elasticity is 70 GPa and Poisson's ratio is u=0.35. When an axial load of 100 kN is applied, the proportional change in the bar's volume is
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 36 mm, d1 = 106 mm, b2 = 22 mm, d2 = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam.
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The stress-strain diagram for a steel alloy having an original diameter of 0.5 in. and a gage length of 2 in. is given in the figure. If the specimen is loaded until it is stressed to 70 ksi, determine the approximate amount of elastic recovery and the increase in the gage length after it is unloaded. o (ksi) 80 70 60 50 40 30 20 10 e (in./in.) 0 04 0.08 0.12 0.16 0.20 0.24 0.28 0 0005 0.0010.0015 0.002 0.0025 0.0030.0035
SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4
2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer
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strength of materials If the steel rod shown is acted upon as shown below, compute for the total deformation of the rod. Assume E = 250GPa and A = 25mm2.
A cylindrical specimen of brass that has a diameter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with force of 40,000 N. If the deformation is totally elastic, what is the strain experienced by the specimen? O 0.00463 O 0.00116 O 0.0029 O 0.01350
A steel bar 100 mm long is subjected to a tensile stress o. If change in length of bar is 0.05 mm what is the value of o? Given E = 200 GPa

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The stress-strain relation of an aluminum alloy bar having a length of 2 m and a diameter of 10 mm is expressed by the equation 3 1 + 8 = 70,000 where o is in MPa. If the rod is axially loaded by a tensile force of 20 kN and lhen unloaded, whal is the permanent deformation of the bar?