Problem_07_20

# Problem_07_20 - Problem 7.20 Given In the figure shown let...

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Problem 7.20 Given: In the figure shown, let b=300 mm, h = 300 mm, t = 25 mm, L = 2.5 m, and P=16.0 kN. Find: the maximum tensile and compressive stresses in the beam and the orientation of the neutral axis. Solution: A 300mm25 mm 275 mm 25 mm + 14375mm 2 = := find centroid relative to the bottom edge y c 300 mm 25 mm 150 mm 275 mm 25 mm 12.5 mm + A := y c 84.239 mm = x c y c := relative to right edge I x 25 mm 300 mm ( ) 3 12 300 mm 25 mm 150 mm y c ( ) 2 + 275 mm 25 mm ( ) 3 12 275 mm 25 mm y c 12.5 mm ( ) 2 + + ... := I x 1.244 10 8 × mm 4 = I y I x := I xy 300 mm 25 mm 12.5 mm x c ( ) y c 150 mm ( ) 275mm25 mm 275 mm 2 25 mm + x c y c 12.5 mm ( ) + ... := I xy 7.398 10 7 × mm 4 = ϕ 90 deg :=
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