Question 3 Consider a step shaft fixed at both ends and loaded with a torsional moment M, as shown in Figure Q.3. (a) Determine the maximum value of the torsional moment M, if the maximum shear stress (allowable stress) is given as 130 MPa. (b) Determine the angle of twist of one end with respect to the other end.

Question 3 Consider a step shaft fixed at both ends and loaded with a torsional moment M, as shown in Figure Q.3. (a) Determine the maximum value of the torsional moment M, if the maximum shear stress (allowable stress) is given as 130 MPa. (b) Determine the angle of twist of one end with respect to the other end.

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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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

Question

Given data:

L1= 220mm

L2= 180mm

L3= 370 mm

d1= 32mm

d2= 12mm

Question 3
Consider a step shaft fixed at both ends and loaded with a torsional moment M, as shown in
Figure Q.3.
(a) Determine the maximum value of the torsional moment M. if the maximum shear stress
(allowable stress) is given as 130 MPa.
(b) Determine the angle of twist of one end with respect to the other end.
Me
Figure Q.3

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