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 8, Problem 8.5.12P
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ 
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Part (1): A 30 ?? square plate is subjected to uniform pressure as shown in Figure.1. The 2D loading stresses are described. If the modulus of elasticity is 200 ??? and the lateral constant (Poisson's ratio ? = 0.3). Estimate the change in length in the vertical, horizontal and diagonal sides as well as determine the volumetric strain. Illustrate the effect of two-dimensionalstrain by constructing appropriate sketches (before and after deformation).Repeat the analysis for lower value of pressure and higher value in the range of [20 -100 MPa] and comment on the overall results
A 30 ?? square plate is subjected to uniform pressure as shown in Figure.1. The 2D loading stressesare described. If the modulus of elasticity is 200 ??? and the lateral constant (Poisson's ratio ? = 0.3). Estimatethe change in length in the vertical, horizontal and diagonal sides as well as determine the volumetric strain.Illustrate the effect of two-dimensionalstrain by constructing appropriate sketches (before and after deformation).Repeat the analysis for lower value of pressure and higher value in the range of [20 -100 MPa] and comment onthe overall results.
A rubber ball is inflated to a pressure of 60KPa. At that pressure, the diameter of the ball is 230mm and the wall thickness is 1.2mm. The rubber has a modulus of elasticity of E = 3.5MPa and Poisson’s ratio of 0.45. (a)Compute the maximum tensile stress. (b)If the allowable tensile stress of the rubber ball wall is 2.5MPa, compute the internal pressure the rubber ball could be inflated.
Chapter 8 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 8 - A spherical balloon is filled with a gas. The...Ch. 8 - A spherical balloon with an outer diameter of 500...Ch. 8 - A large spherical tank (see figure) contains gas...Ch. 8 - Solve the preceding problem if the internal...Ch. 8 - A hemispherical window (or viewport) in a...Ch. 8 - A rubber ball (sec figure) is inflated to a...Ch. 8 - (a) Solve part (a) of the preceding problem if the...Ch. 8 - A spherical steel pressure vessel (diameter 500...Ch. 8 - A spherical tank of diameter 48 in. and wall...Ch. 8 - Solve the preceding problem for the following...
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