Question

A 4-point bending test is performed on the same beam, with symmetric loads of 5kN separated by 2m.

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):

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

σmax (in MPa):