(B) – Figure Q4/B show the bone has an outer rac of 15 mm and thickness 3 mm. Determine the strains in the x and ỹ direction if a torque T = 100 N.m is applied to the bone which have modulus of elasticity 2400 Mpa and 0.35 Poisson ratio %3D VT Figure Q4/B

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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(B) – Figure Q4/B show the bone has an outer rac
of 15 mm and thickness 3 mm. Determine the strains
in the x and ỹ direction if a torque T = 100 N.m is
applied to the bone which have modulus of elasticity
2400 Mpa and 0.35 Poisson ratio
%3D
VT
Figure Q4/B
Transcribed Image Text:(B) – Figure Q4/B show the bone has an outer rac of 15 mm and thickness 3 mm. Determine the strains in the x and ỹ direction if a torque T = 100 N.m is applied to the bone which have modulus of elasticity 2400 Mpa and 0.35 Poisson ratio %3D VT Figure Q4/B
Expert Solution
Step 1

Draw the diagram for the axes given in the problem.Mechanical Engineering homework question answer, step 1, image 1

Understand that in the given figure, the shaft is under pure torsion.

Therefore, calculate the value of shear stress in the x-y plane given in the figure by using the formula,

Mechanical Engineering homework question answer, step 1, image 2

Further solve as,

Mechanical Engineering homework question answer, step 1, image 3

Step 2

Use the formula to locate the principal plane by using the stresses on x-y plane.

Mechanical Engineering homework question answer, step 2, image 1

According to the problem, there is no applied stress in x and y directions.

Mechanical Engineering homework question answer, step 2, image 2

Use the formula for principal stresses to calculate the value of principal stresses.

Mechanical Engineering homework question answer, step 2, image 3

Mechanical Engineering homework question answer, step 2, image 4

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