Uploaded by prathapdell78

mechanics tutorial

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Problem 1:
The design specifications of a 1.2 m long solid transmission shaft require that the angle of
twist of the shaft not exceed 4° when a torque of 750 N-m is applied. Determine the required
diameter of the shaft, knowing that the shaft is made of a steel with an allowable shearing
stress of 90 MPa and a modulus of rigidity of 77.2 GPa.
Problem 2:
The electric motor exerts a
500 Nm torque on the
aluminium shaft ABCD when
it is rotating at a constant
speed. Knowing that G=27
GPa and that the torques
exerted on pulleys B and C
are as shown, determine the
angle of twist between (a) B
and C, (b) B and D.
Problem 3:
For the given state of stress, determine the normal and shearing
stresses after the element shown has been rotated (a) 25° clock
wise, (b) 10° counter-clockwise.
Problem 4:
The grain of a wooden member forms an angle of 15° with the
vertical. For the state of stress shown, determine (a) the in-plane
shearing stress parallel to the grain, (b) the normal stress
perpendicular to the grain.
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