Simply Supported Beam Repair

A simply supported beam has a roller support in need of replacement. In order to remove the roller, the contractor needs 1.5 cm of clearance. The contractor intends to jack the beam up at mid-span and will leave the pin support connected during the replacement. How high (cm) above zero deflection at the location of the jack must the beam be raised to provide for 1.5 cm clearance at the roller support? The bottom of the beam at both supports is at elevation 0.00 m. Details: Beam cross section is 25 cm wide by 100 cm deep. Material of beam is concrete with density 2400 kg/m^3 and Ec=24.3 GPa. The span is 40 meters. The dead load on the beam is 500 N/m. Take g=9.81 m/s^2.


The answer is 26.00.

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