2. The beam AB in the figure below supports a load which varies from an intensity of 50 lb-ft to 200 lb-ft. Calculate the magnitude and position of the resultant load. (Replace the given loading by a uniformly distributed load of 50 lb-ft plus a triangular load varying from zero at A to 150 lb-ft at B).
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We are asked to find the magnitude and position of the resultant load. The variable load can be broken down into a uniformly distributed load (UDL) of 50 lb/ft across the entire beam and a triangularly distributed load that increases from 0 at A to 150 lb/ft at B. Show more…
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A simple beam $A B$ supports two concentrated loads $P$ at the positions shown in the figure. A support $C$ at the midpoint of the beam is positioned at distance $\bar{d}$ below the beam before the loads are applied. \[ \text { Assuming that } d=10 \mathrm{mm}, L=6 \mathrm{m}, E=200 \] $\mathrm{GPa},$ and $I=198 \times 10^{6} \mathrm{mm}^{4},$ calculate the magnitude of the loads $P$ so that the beam just touches the support at $C$.
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