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# (Solved): To determine the angle of twist on a composite rod given the geometry and externally applied torques ...

To determine the angle of twist on a composite rod given the geometry and externally applied torques, to properly apply a sign convention to determine the angle of twist, to use a torque diagram to aid in determining the angle of twist, and to determine the maximum applicable torque given a maximum allowable angle of twist. The rod shown below is made of two different materials. Segment

AB

G=3.9\times 10^(6)

psi). Segment

BC

is bonded to segment

AB

and is made of brass (

G=5.6\times 10^(6)

psi). Segment

BC

is hollow and has an inner diameter of

d_(1)=0.8in

. External torques are applied to the rod at point

B

and point

C

. Let

L_(A)=58.0in,L_(B)=46.0in,d_(A)=4.0in,d_(B)=2.3in,T_(B)=6.0

kip - in , and

T_(C)=13.0kip

- in . Part A - Angle of twist at point

B

Determine the angle of twist,

\phi _(B)

, experienced by the rod at point

B

. Express your answer to three significant figures and include appropriate units. View Available Hint(s)

\phi _(B)=darr,◻

Part B - Angle of twist at point C Determine the angle of twist,

\phi _(C)

, experienced by the rod at point

C

. Express your answer to three significant figures and include appropriate units. View Available Hint(s) 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=225.0

hp at a speed of

\omega =1800rpm

. This power is transferred through the shaft without any loss and is completely removed by the pulley at

A

. Let

a=

6.250in,b=11.75in,c=16.00in,d_(1)=3.200in,d_(2)=5.800in

, and

d_(3)=7.000in

. Assume that the modulus of rigidity for the entire shaft is

G=11.0\times 10^(6)

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. Part A - Internal torques in the shaft Determine the internal torques in sections

AB,BC,CD,DE

, and

EF

lb*ft

to four significant figures. View Available Hint(s) Part B - Angle of twist of

C

with respect to

D

Determine the angle of twist of

C

with respect to

D

. Express your answer to four significant figures and include the appropriate units. View Available Hint(s) Express the shear function in terms of

x

. Consider the beam shown in (Figure 1). Express your answer in kilonewtons in terms of

x

.

V

=

Request Answer Part B Express the moment function in terms of

x

x

. Figure Part C Request Answer Draw the shear diagram for the beam. Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note - Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear correct visually because the lines overlap, but the system will mark it wrong. (4) + 品 No elements selected

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