Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
9th Edition
ISBN: 9781337594318
Author: Barry J. Goodno; James M. Gere
Publisher: Cengage Learning
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Chapter 8, Problem 8.2.6P
A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48.
(a) Determine the maximum stress and strain in the ball,
(b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
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A rubber ball (see figure) is inflated to a pressureof 65 kPa. At that pressure, the diameter of theball is 240 mm and the wall thickness is 1.25 mm. Therubber has a modulus of elasticity E = 3.7 MPa andPoisson’s ratio v = 0.48.(a) Determine the maximum stress and strain inthe ball.(b) If the strain must be limited to 0.425, find theminimum required wall thickness of the ball.
Two hard rubber blocks with Modulus of Rigidity equal to 350 kPa are used in an anti-vibration mount to support a small machine as shown below. Let a = 20 mm, b = 50 mm and c = 80 mm. Deterrmine: (a) the shearing strain in the rubber blocks when a downward deflection of 6.50 mm occurs due to P. (b) the magnitude of P. Include the figure showing the shearng strain and the FBD to support your force equation, (if there is any). Show the step by step solution.
L₁
Rigid bar ABCD is supported by two bars as shown.
There is no strain in the vertical bars before load P is
applied. After load P is applied, the normal strain in bar
(2) is measured as -3,300 µm/m. Use the dimensions L₁
= 1,600 mm, L₂ = 1,200 mm, a = 240 mm, b = 420 mm,
and c = 180 mm.
Determine:
• The contraction in bar (2)
• The elongation and the normal strain in bar (1)
• Displacement of point D
(1)
B
b
Rigid bar
L₂
Chapter 8 Solutions
Bundle: Mechanics Of Materials, Loose-leaf Version, 9th + Mindtap Engineering, 1 Term (6 Months) Printed Access Card
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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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