A 1 m beam is fixed at one end and simply supported at the other. It carries a uniform load of 10 N/m as shown. Find the magnitude of the simple-support reaction in N, to 2 decimals.
Treat the simple support reaction R as a redundant force on a cantilever. End deflection under UDL is $wL^4/(8EI)$, opposed by end-force deflection $RL^3/(3EI)$. Compatibility sets their difference to zero, giving $R=3wL/8=3(10)(1)/8=3.75$ N.
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