Answered: r=2 in.- z = 4y3- x G Z 10 in. -8 in. 2…

Engineering

Civil Engineering

r=2 in.- z = 4y3- x G Z 10 in. -8 in. 2 in. 16 in.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Measuring is the comparison of a particular physical quantity with its reference value. A unit is a fixed physical quantity. The length is a physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with. 

Question

Determine the distance h to which a 4-in. diameter hole must be bored into the top of the solid shape so that the centroid of the resulting shape is located at z̅= 10 in. The hole is cylindrical with a hemispherical end.

r = 2 in.
z = 4y3
X
G
Z
10 in.
-8 in.-
th
2 in.
16 in.

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The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d1 = 1.65 in. The outside diameter of the tube is D2 = 2.7 in. and its wall thickness is t2 = 0.130 in. Overall dimensions of the assembly are a = 49 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10500 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.6°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
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