A 750-MM SHAFT IS COMPOSED OF STEEL AND ALUMINUM PARTS. DETERMINE THE CENTROIDAL Y (IN MM) OF THE SHAFT IF THE DENSITY OF STEEL på = 7800 KG/M³ AND THE DENSITY OF ALUMINUM PA = 9.75 x 10-2 LB/IN³. HINT: USE INTEGRATION IN OBTAINING THE FORMULA FOR THE VOLUME AND CENTROID OF A FRUSTUM OF A CONE. STEEL ALUMINUM END 1 (RAD) END 2 (DIA) 20 mm 40 mm 60 mm 130 mm

A 750-MM SHAFT IS COMPOSED OF STEEL AND ALUMINUM PARTS. DETERMINE THE CENTROIDAL Y (IN MM) OF THE SHAFT IF THE DENSITY OF STEEL på = 7800 KG/M³ AND THE DENSITY OF ALUMINUM PA = 9.75 x 10-2 LB/IN³. HINT: USE INTEGRATION IN OBTAINING THE FORMULA FOR THE VOLUME AND CENTROID OF A FRUSTUM OF A CONE. STEEL ALUMINUM END 1 (RAD) END 2 (DIA) 20 mm 40 mm 60 mm 130 mm

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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Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

A 750-MM SHAFT IS COMPOSED OF STEEL AND ALUMINUM PARTS. DETERMINE THE CENTROIDAL Y
(IN MM) OF THE SHAFT IF THE DENSITY OF STEEL ps = 7800 KG/M³ AND THE DENSITY OF ALUMINUM
PA = 9.75 x 10-2 LB/IN³. HINT: USE INTEGRATION IN OBTAINING THE FORMULA FOR THE VOLUME AND
CENTROID OF A FRUSTUM OF A CONE.
STEEL
ALUMINUM
40 mm
END 1 (RAD)
END 2 (DIA)
20 mm
60 mm
130 mm

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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 = 1.75 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 = 38 in. and b = 13 in. The allowable shear stresses for the bronze and aluminum materials are 9400 psi and 7500 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 5.1°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
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