3) An L-shaped solid round bracket has the properties \( E, G, A, I, \) and \( J \). The bracket below is loaded with a torque about the Z-axis at the free end and a force in the Y direction.A) Derive an expression for the deflection of the free end in the Y-direction (Dummy load \( F=0 \) shown)?B) Calculate the deflection in the Y-direction if the L-shaped round bracket is made from aluminum with \( a=12 \) in, \( b=6 \) in, \( d=0.75 \) in, and \( T=30 \) in-lb.**Diagram Explanation:**The diagram depicts an L-shaped solid round rod with labeled axes X, Y, and Z. The rod extends horizontally along the Z-axis before bending vertically downward along the Y-axis. The point where the bend occurs is labeled, and dimensions \( a \) and \( b \) are given along the Z and Y axes, respectively, to represent lengths from the fixed end to the bend and from the bend to the free end. A torque \( T \) is applied about the Z-axis at the free end in the direction of X, and a dummy force \( F \) is indicated in the Y-direction, though \( F=0 \). The properties of the solid round rod, including \( E, G, A, I, \) and \( J \), are noted alongside the rod.

Answered: Image /qna-images/answer/9667bacd-8a14-4ae1-92d6-63d336b84abc.jpg(B) Calculate the deflection at point C.Write the answers-

Engineering

Mechanical Engineering

An L-shaped solid round bracket has the properties E, G, A, I, and J. The bracket below is loaded with a torque about the Z-axis at the free end and a force in the Y direction. A) Derive an expression for the deflection of the free end in the Y-direction (Dummy load F=0 shown)? B) Calculate the deflection in the Y-direction if the L-shaped round bracket is made from aluminum with a 12 in, b = 6 in, d = 0.75 in, and T = 30 in-lb. Solid round rod of properties E, G, A, I, and J.

An L-shaped solid round bracket has the properties E, G, A, I, and J. The bracket below is loaded with a torque about the Z-axis at the free end and a force in the Y direction. A) Derive an expression for the deflection of the free end in the Y-direction (Dummy load F=0 shown)? B) Calculate the deflection in the Y-direction if the L-shaped round bracket is made from aluminum with a 12 in, b = 6 in, d = 0.75 in, and T = 30 in-lb. Solid round rod of properties E, G, A, I, and J.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

3) An L-shaped solid round bracket has the properties \( E, G, A, I, \) and \( J \). The bracket below is loaded with a torque about the Z-axis at the free end and a force in the Y direction.

A) Derive an expression for the deflection of the free end in the Y-direction (Dummy load \( F=0 \) shown)?

B) Calculate the deflection in the Y-direction if the L-shaped round bracket is made from aluminum with \( a=12 \) in, \( b=6 \) in, \( d=0.75 \) in, and \( T=30 \) in-lb.

**Diagram Explanation:**

The diagram depicts an L-shaped solid round rod with labeled axes X, Y, and Z. The rod extends horizontally along the Z-axis before bending vertically downward along the Y-axis. The point where the bend occurs is labeled, and dimensions \( a \) and \( b \) are given along the Z and Y axes, respectively, to represent lengths from the fixed end to the bend and from the bend to the free end. A torque \( T \) is applied about the Z-axis at the free end in the direction of X, and a dummy force \( F \) is indicated in the Y-direction, though \( F=0 \). The properties of the solid round rod, including \( E, G, A, I, \) and \( J \), are noted alongside the rod.

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