Question

Learning Goal: To determine the angle of twist for a circular shaft that is composed of varying cross sections and that is subjected to a given power and frequency load. As shown, a shaft is composed of five cylindrical sections. A motor is attached at F and supplies the shaft with P = 235.0 hp at a speed of ω = 1800 rpm . This power is transferred through the shaft without any loss and is completely removed by the pulley at A. Let a = 7.250 in , b = 11.75 in , c = 15.50 in , d1 = 4.000 in , d2 = 5.600 in , and d3 = 7.200 in . Assume that the modulus of rigidity for the entire shaft is G=11.0×106 psi and that the sections of the shaft are fastened in such a way that they cannot fail. Also, assume that the shaft is rigidly supported along its length such that it is always in static equilibrium.

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dz D d d2 d1

1)Determine the internal torques in sections AB, BC, CD, DE, and EF.

Express your comma-separated answers in lb⋅ft to four significant figures.

TAB, TBC, TCD, TDE, TEF= lb⋅ft, lb⋅ft, lb⋅, lb⋅ft, lb⋅ft

2)Determine the angle of twist of C with respect to D.

Express your answer to four significant figures and include the appropriate units.

ϕC/D=

3)Determine the angle of twist of B with respect to E.

Express your answer to four significant figures and include the appropriate units.

ϕB/E=

4)Determine the angle of twist of A with respect to F.

Express your answer in radians to four significant figures.

ϕ A / F = rad

Answer 1

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