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 8.2.8P
A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure).
(a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.)
(b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
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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
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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...
Ch. 8 - A spherical stainless-steel tank having a diameter...Ch. 8 - Solve the preceding problem if the diameter is 480...Ch. 8 - : A hollow, pressurized sphere having a radius r =...Ch. 8 - A fire extinguisher tank is designed for an...Ch. 8 - Prob. 8.3.2PCh. 8 - A scuba t a n k (see fig ure) i s bci ng d e...Ch. 8 - A tall standpipc with an open top (see figure) has...Ch. 8 - An inflatable structure used by a traveling circus...Ch. 8 - A thin-walled cylindrical pressure vessel of a...Ch. 8 - A strain gage is installed in the longitudinal...Ch. 8 - A circular cylindrical steel tank (see figure)...Ch. 8 - A cylinder filled with oil is under pressure from...Ch. 8 - Solve the preceding problem if F =90 mm, F = 42...Ch. 8 - A standpipe in a water-supply system (see figure)...Ch. 8 - A cylindrical tank with hemispherical heads is...Ch. 8 - : A cylindrical tank with diameter d = 18 in, is...Ch. 8 - A pressurized steel tank is constructed with a...Ch. 8 - Solve the preceding problem for a welded Tank with...Ch. 8 - A wood beam with a cross section 4 x 6 in. is...Ch. 8 - Prob. 8.4.2PCh. 8 - A simply supported beam is subjected to two point...Ch. 8 - A cantilever beam with a width h = 100 mm and...Ch. 8 - A beam with a width h = 6 in. and depth h = 8 in....Ch. 8 - Beam ABC with an overhang BC is subjected to a...Ch. 8 - A cantilever beam(Z, = 6 ft) with a rectangular...Ch. 8 - Solve the preceding problem for the following...Ch. 8 - A simple beam with a rectangular cross section...Ch. 8 - An overhanging beam ABC has a guided support at A,...Ch. 8 - Solve the preceding problem if the stress and...Ch. 8 - A cantilever wood beam with a width b = 100 mm and...Ch. 8 - . A cantilever beam (width b = 3 in. and depth h =...Ch. 8 - A beam with a wide-flange cross section (see...Ch. 8 - A beam with a wide-flange cross section (see...Ch. 8 - A W 200 x 41.7 wide-flange beam (see Table F-l(b),...Ch. 8 - A W 12 x 35 steel beam is fixed at A. The beam has...Ch. 8 - A W 360 x 79 steel beam is fixed at A. The beam...Ch. 8 - A W 12 X 14 wide-flange beam (see Table F-l(a),...Ch. 8 - A cantilever beam with a T-section is loaded by an...Ch. 8 - Beam A BCD has a sliding support at A, roller...Ch. 8 - , Solve the preceding problem using the numerical...Ch. 8 - A W 12 x 35 steel cantilever beam is subjected to...Ch. 8 - A W 310 x 52 steel beam is subjected to a point...Ch. 8 - A solid circular bar is fixed at point A. The bar...Ch. 8 - A cantilever beam with a width h = 100 mm and...Ch. 8 - Solve the preceding problem using the following...Ch. 8 - A cylindrical tank subjected to internal...Ch. 8 - A cylindrical pressure vessel having a radius r =...Ch. 8 - A pressurized cylindrical tank with flat ends is...Ch. 8 - A cylindrical pressure vessel with flat ends is...Ch. 8 - The tensional pendulum shown in the figure...Ch. 8 - The hollow drill pipe for an oil well (sec figure)...Ch. 8 - Solve the preceding problem if the diameter is 480...Ch. 8 - . A segment of a generator shaft with a hollow...Ch. 8 - A post having a hollow, circular cross section...Ch. 8 - A sign is supported by a pole of hollow circular...Ch. 8 - A sign is supported by a pipe (see figure) having...Ch. 8 - A traffic light and signal pole is subjected to...Ch. 8 - Repeat the preceding problem but now find the...Ch. 8 - A bracket ABCD having a hollow circular cross...Ch. 8 - A gondola on a ski lift is supported by two bent...Ch. 8 - Beam A BCD has a sliding support at A, roller...Ch. 8 - A double-decker bicycle rack made up of square...Ch. 8 - A semicircular bar AB lying in a horizontal plane...Ch. 8 - Repeat Problem 8.5-22 but replace the square tube...Ch. 8 - An L-shaped bracket lying in a horizontal plane...Ch. 8 - A horizontal bracket ABC consists of two...Ch. 8 - , An arm A BC lying in a horizontal plane and...Ch. 8 - A crank arm consists of a solid segment of length...Ch. 8 - A moveable steel stand supports an automobile...Ch. 8 - A mountain bike rider going uphill applies a force...Ch. 8 - Determine the maximum tensile, compressive, and...Ch. 8 - Prob. 8.5.32PCh. 8 - A plumber's valve wrench is used to replace valves...Ch. 8 - A compound beam ABCD has a cable with force P...Ch. 8 - A steel hanger bracket ABCD has a solid, circular...
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