Question

6. A carbon steel ball (E=30x10$^6$ psi, v=0.29) with a radius of 3-in is pressed together with an aluminum ball (E=10.4x10$^6$ psi, v=0.33) with a radius of 6-in. Determine the following: A) The maximum value for the force F if the maximum pressure, $p_o$, is limited to 60 ksi. B) The contact length, a, due to that force. C) The maximum shear stress.

          6. A carbon steel ball (E=30x10$^6$ psi, v=0.29) with a radius of 3-in is pressed together with
an aluminum ball (E=10.4x10$^6$ psi, v=0.33) with a radius of 6-in. Determine the
following:
A) The maximum value for the force F if the maximum pressure, $p_o$, is limited to 60 ksi.
B) The contact length, a, due to that force.
C) The maximum shear stress.

6. A carbon steel ball (E=30x10^6 psi, v=0.29) with a radius of 3-in is pressed together with
an aluminum ball (E=10.4x10^6 psi, v=0.33) with a radius of 6-in. Determine the
following:
A) The maximum value for the force F if the maximum pressure, po, is limited to 60 ksi.
B) The contact length, a, due to that force.
C) The maximum shear stress.

Added by April W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/16/2023

Step 1

The contact area can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius of the ball. For the carbon steel ball with a radius of 3 inches, the contact area is A1 = π(3)^2 = 9π square inches. For the aluminum ball with a radius Show more…

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A carbon steel ball (E=30 imes 10^(6)psi ,v=0.29) with a radius of 3-in is pressed together with an aluminum ball (E=10.4 imes 10^(6)psi ,v=0.33) with a radius of 6 -in. Determine the following: A) The maximum value for the force F if the maximum pressure, p_(o), is limited to 60ksi. B) The contact length, a, due to that force. C) The maximum shear stress. 6. A carbon steel ball (E=30x10 psi, v=0.29) with a radius of 3-in is pressed together with an aluminum ball (E=10.4x10 psi, v=0.33) with a radius of 6-in. Determine the following: A) The maximum value for the force F if the maximum pressure, po, is limited to 60 ksi. B) The contact length, a, due to that force. C) The maximum shear stress. Z a IF