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Solid Mechanics 1

Total questions: 8

Worksheet time: 5mins

Name
Class
Date
1.

For a hollow shaft with outer and inner radius are 0.06mm and 0.045mm, determine the polar moment of the inertia

a)

13.92 X 10-6 m4

b)

14.92 X 10-6 m4

c)

15.92 X 10-6 m4

d)

16.92 X 10-6 m4

2.

Calculate the maximum shearing stress if the T=20kN.m, c= 0.06m and J= 13.92 x 10-6m4

a)

75.2 MPa

b)

86.2 MPa

c)

77.3 MPa

3.

Given that allowable shear stress is 65 MPa, torque is 6 kN.m, determine the diameter of a shaft.

a)

75.8 mm

b)

67.8 mm

c)

77.8 mm

4.

The shaft AD is attached as shown. Determine the torque at section AB

a)

200 N.m

b)

250 N.m

c)

100 N.m

5.

The shaft AD is attached as shown. Determine the torque in portion DC

a)

250 N.m

b)

2000 N.m

c)

2250 N.m

d)

1250 N.m

6.

Calculate the angle of twist if the torque = 250N.m, length of the shaft= 0.4 m, J=0.0795 x 10-6 m4 and G=77 GPa

a)

0.01634 rad

b)

0.00459 rad

c)

0.0139 rad

7.

Select the suitable diameter of a rod if the allowable shearing stress is 100 MPa and P= 60 kN.

(a)  

8.

What size of shaft should be used for the rotor of a 3.7kW motor operating at 3600 rpm if the shearing stress is not exceed 60 MPa in the shaft?

(a)