(8000076)
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QUESTION 3: BENDING AND DEFLECTION OF BEAMS
A simply supported beam is 4 m long and carries a concentrated load in the centre of
the beam. The stress in the beam is limited to 80 MPa and the deflection is not allowed
to be more than 10 mm. Young's modulus for the material is 200 GPa. The beam is
made up by welding two channel profiles 200 × 75 × 25,3 kg/m toe to toe.
Calculate:
會
3.1
The second moment of area about both axes
3.2
The maximum concentrated load this beam may carry (including its own
weight)
3.3
The actual stress and deflection in the beam for this load
3.4
The force in a prop that is placed in the middle of the beam and 2 mm lower
than the supports to prevent some of the deflection