A beam 4m long is simply supported at its ends. The beam is loaded with a downward vertical load 300N at a point 1m from the left support. Using E = 180 GPa, I = 160 x 106 mm4. Determine the following using double integration method a) The rotation (in degrees) of the beam at the left support b) The deflection of the beam at midspan c) The maximum deflection

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A: Solution Given Data

Q: DETERMINE THE DEFLECTION AT POINT D OF THE BEAM SHOWN.

A: I1 = 16 ×108 mm4 I2 = 12 × 108 mm4 E = 210GPa = 2.1 × 105 N/mm2

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Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.