Question

What are the moment of inertia and section modulus for a rectangle that is 10 in...

What are the moment of inertia and section modulus for a rectangle that is 10 in tall and 5 in wide in the vertical direction?

a. I = 416.7 in4, S = 83.33 in3

b. I = 104.17 in4, S = 83.33 in4

c. I = 416.7 in4, S = 41.67 in4

d. I = 104.17 in4, S = 41.67 in4

Engineering   Mechanical-Engineering   
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Answer #1

We know I=(hb^3)/12 in a vertical dirrdirec which is I_yc . Here c denotes the center of gravity. Then I = 10*125/12=104.16inch^4

And S=I/(b/2) =41.67inch^3.

It is not mentioned clearly in which direction you are taking the second moment of inertia.as per the unit consideration of the choices, only option a is correct as section modulus is in inch^3

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