If M = 9.5 kip-ft, find the magnitude of the bending stress at a point 2.08 in.

Question

If M = 9.5 kip-ft, find the magnitude of the bending stress at a point 2.08 in. above the centroid. The moment of inertia about the z axis is 862.7 in.4, and the centroid of the section is located 5.167 in. above the bottom surface of the beam.

Question 7 If M = 9.5 kip-ft, find the magnitude of the bending stress at a point 2.08 in. above the centroid. The moment of inertia about the z axis is 862.7 in.4, and the centroid of the section is located 5.167 in. above the bottom surface of the beam 2 in 8 in 12 in. n. 2 in 10 in

Explanation / Answer

Magnitude of bending stress At a point x

sigma = Mx / I

M=9.5ki-p/ft = 12.78 kN-mt

I = 862.7 = 3.6 * 10^-4 mt^4

centroid c= 5.67 in = 0.144mt

x = 5.67 + 2.08 = 7.75 in = 0.196mt

therefore sigma = 0.6958 * 10^7 P/mt

= 6.96 MPa = 1009.462392 psi

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