A beam is subjected to the loading shown. The support reactions by the pinned an

Question

A beam is subjected to the loading shown. The support reactions by the pinned and roller supports are Ay=10kN and Cy=20kN. Thecentroid of the beam cross-section is located 103.40909 mm from the bottom. Iy=174,739,583.3 mm^4 and Iz=27,704,782.2 mm^4. At point H, located 4m from the left edge of the beam, calculate the magnitude of the bending normal stress and the magnitude of the bending shear stress. Show the stresses at point H on the stress element. Determine the magnitude and location of the maximum bending shear stress.

A beam is subjected to the loading shown. The support reactions by the pinned and roller supports are Ay=10kN and Cy=20kN. The centroid of the beam cross-section is located 103.40909 mm from the bottom. Iy=174,739,583.3 mm^4 and Iz=27,704,782.2 mm^4. At point H, located 4m from the left edge of the beam, calculate the magnitude of the bending normal stress and the magnitude of the bending shear stress. Show the stresses at point H on the stress element. Determine the magnitude and location of the maximum bending shear stress.

Explanation / Answer

at section H

shear force will be same as normel reaction at A = 10 kN

bending shear stress = 10 kN / ((300-2*25 )*25 )*10^-6 = 1.6 Mpa

bending normal stress = 10kN /( 150*25)*10^-6 = 2.67 Mpa

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