Materials Science

A 3-point bending test is performed on a simply supported beam of length L=4m and of rectangular cross-section, with width b and height h.

For a central load of 10kN, draw the bending moment and shear force diagrams for the beam. Then answer the following questions about the shear force V and bending moment M.

What is the shear force in the beam at x=0.5,1.5,2.5 and 3.5m?

V (kN, x=0.5):

V (kN, x=1.5):

V (kN, x=2.5):

V (kN, x=3.5):

What is the moment in the beam at x=0,1,2,3 and 4m?

M (kNm, x=0):

M (kNm, x=1):

M (kNm, x=2):

M (kNm, x=3):

M (kNm, x=4):

At what length along the beam do the maximum stresses occur? Express your answer in terms of the beam length L.

Location of maximum stresses:

Now assume that the beam has a width b=10cm and a height h=20cm. Calculate the maximum stress in the beam.

σmax (in MPa):

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