A 5 inches by 10 inches rectangular beam cross-section is subjected to a maximum

Question

A 5 inches by 10 inches rectangular beam cross-section is subjected to a maximum bending moment and shear force of 100 lb.ft and 500 lb, respectively.What is the moment of intertia of the cross-section?

416.67 in^4

416.67 in^3

104.17 in^4

104.17 in^3

2 points

Question 2

What is the maximum first moment of area for the cross-section given in question 1?

62.5 in^3

62.5 in^2

31.25 in^3

31.25 in^2

2 points

Question 3

What is the first moment of area at 3 inches above the neutral axis for the cross-section given in question 1?

40 in^2

40 in^3

30 in^2

30 in^3

2 points

Question 4

What is the maximum bending stress on the cross-section given in question 1 due to the given moment?

1.2 psi

2.4 psi

14.4 psi

28.8 psi

2 points

Question 5

What is the shear stress at 3 inches above the neutral axis for the cross-section given in question 1 due to shear force given in question 1?

7.2 psi

14.4 psi

19.2 psi

9.6 psi

416.67 in^4

416.67 in^3

104.17 in^4

104.17 in^3

Explanation / Answer

1) C

2) D

3) A

4) A

5) B

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