Problem 4 A glass sphere with a 30 mm diameter is pressed against a flat carbon steel plate with a force of 5 N. Assume. For glass: E = 46.2 GPa, -0.245 and for steel E, 207 GPa, (a) Determine the radius of the contact surface. -0.292 (4 (b) Determine the maximum pressure at the contact surface. (4 (c) Calculate the principal stresses d., and a, in the glass sphere at the depth=0.037 mm. (d) Maximum shear stress in the glass sphere at the depth: 0.037 mm. (t (4 (e) Draw the Mohr circles for the stresses and show the point corresponding to the maximum shear stress. (3

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.1P: A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the...
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Problem 4
A glass sphere with a 30 mm diameter is pressed against a flat carbon steel plate with a force of 5 N. Assume.
For glass: E = 46.2 GPa, -0.245 and for steel E, 207 GPa,
(a) Determine the radius of the contact surface.
-0.292
(4
(b) Determine the maximum pressure at the contact surface.
(4
(c) Calculate the principal stresses d., and a, in the glass sphere at the depth=0.037 mm.
(d) Maximum shear stress in the glass sphere at the depth: 0.037 mm.
(t
(4
(e) Draw the Mohr circles for the stresses and show the point corresponding to the maximum shear stress. (3
Transcribed Image Text:Problem 4 A glass sphere with a 30 mm diameter is pressed against a flat carbon steel plate with a force of 5 N. Assume. For glass: E = 46.2 GPa, -0.245 and for steel E, 207 GPa, (a) Determine the radius of the contact surface. -0.292 (4 (b) Determine the maximum pressure at the contact surface. (4 (c) Calculate the principal stresses d., and a, in the glass sphere at the depth=0.037 mm. (d) Maximum shear stress in the glass sphere at the depth: 0.037 mm. (t (4 (e) Draw the Mohr circles for the stresses and show the point corresponding to the maximum shear stress. (3
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