# Question 12.8: A steel shaft supported in bearings A and B at its ends carr...

A steel shaft supported in bearings A and B at its ends carries a pulley (diameter = 600 mm) at point C as shown in Figure 12.18. The shaft is transmitting power in such a way that power is input by a torque T at A and is taken off through a belt over-running the pulley where the tensions in the belt are 1250 N in tight side and 250 N in the slack side. Calculate the required shaft diameter if the working stresses are $\sigma_n$ = 85 MPa and τ = 42.5 MPa.

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Question: 12.13

## A solid circular shaft of diameter d is subjected to combined bending moment M and twisting moment T. If the shaft is made of brittle material where principal normal stress governs failure, show that the maximum normal stress is given by the following equation: σmax = 32Me/πd³ where ...

The differential element subjected to the loading ...
Question: 12.14

## Redo the above problem assuming the shaft to be of a ductile material where maximum shear stress governs the failure of the shaft. ...

Obviously, for the above problem, the maximum shea...
Question: 12.10

## For a torsional pendulum, length of the shaft = 500 mm, shaft diameter = 3 mm whereas for the shaft material, G = 84 GPa. What is the maximum weight of the pendulous disc in order that pendulum may have an amplitude, Φ = 12° during torsional oscillation without exceeding the allowable shear of ...

Let the length of the pendulum shaft be L. When it...
Question: 12.12

## Redo the previous problem by replacing P with the torsional moment, T at point B (Figure 12.23). ...

Let us draw the free-body diagram of the segment B...
Question: 12.11

## A shaft of diameter d, bent in the form of a semi-circle of radius R is built-in at A and loaded at B by a force P acting perpendicular to the plane of the shaft as shown in Figure 12.21. Find the value of angle Φ for which the principal stress σ1 will be maximum. ...

Let us draw the free-body diagram of the segment B...
Question: 12.9

## Figure 12.19 shows a power-transmitting shaft. Each pulley has 750 mm in diameter and ratio of tight-side tension to slack-side tension is 3:1. The shaft is transmitting 37.5 kW power at 300 rpm. Calculate the shaft diameter required, if τworking = 42 MPa. Power is input to the pulley C ...

Power transmitted is  \text { Power }=\frac...
Question: 12.7

## A sign is supported by a pipe which has 100 mm outer diameter and 80 mm inside diameter as shown in Figure 12.15. The sign is 2 m long and 0.75 m high, and its lower edge is 3 m above the ground where it is supported by the pipe. Calculate the maximum shear stresses at points A, B and C. The wind ...

Total wind load acting on the sign is P = ( Pressu...
Question: 12.6

## A circular hollow shaft of outer diameter 200 mm and inner diameter 160 mm is subjected simultaneously to a torque T = 11.1 kN m and an axial compressive load, P = 362 kN. Calculate: (a) (σT )max , (b) (σC )max and (c) τmax. ...

Let us first compute the area properties as follow...
Question: 12.5