The following rod has a diameter of 15 mm, and a length of 1000 mm, and was fixed at its one end to the wall. A force pair of 200 N is applied by a 500 mm length arm to the point A. Which material given below should be chosen for this rod material to keep the twist angle on the A plane less than 20°.

The following rod has a diameter of 15 mm, and a length of 1000 mm, and was fixed at its one end to the wall. A force pair of 200 N is applied by a 500 mm length arm to the point A. Which material given below should be chosen for this rod material to keep the twist angle on the A plane less than 20°.

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

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

The following rod has a diameter of 15 mm, and a length of 1000 mm, and was fixed at its one end to the
wall. A force pair of 200 N is applied by a 500 mm length arm to the point A. Which material given below
should be chosen for this rod material to keep the twist angle on the A plane less than 20°.
Material
Aluminium alloy
Magnesium alloy
Titanium alloy
E, GPa
70
45
105
V
0,3
0,3
0,3
200 N
250 mm
250 mm
200 N

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Step 1: Evaluate the torque due to forces acting at free end of the rod.

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Step 2: Relation between angle of twist and applied torque

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Step 3: Evaluate rigidity modulus from elasticity modulus and Poisson's ratio.

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