Sketch the fbd for the shearing force v and the bending

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Beam section w12*30 subjected to concentrated central load, P= 10,000 lb.

Specified Yield Stress, ASTM A 36: Sy = ksi
• Allowable Bending Stress, Sigma = 0.66 (sy)
• Allowable Shear Stress, Tau = 0.4 (sy)

Find

a) Sketch the FBD, for the Shearing Force (V) and the Bending Moment (M) diagrams to determine the V & M general relationships.

b) Establish the Maximum Bending Stress relationships for the loading regime. Use the beam section stated.

c) Establish the Maximum Shear Stress relationships for the load regime, based on the beam section stated.

d) Establish the design relationship between the bending and shear stresses when the allowable bending stress is equal to the allowable shear stress.

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