A simply supported beam (span L) is subjected to uniformly distributed load, p throughout the span. The rotation at each end will be:
Where, EI is flexural rigidity1
\(\frac{{{\rm{p}}{{\rm{L}}^3}}}{{48{\rm{EI}}}}\)
2
\(\frac{{{\rm{p}}{{\rm{L}}^3}}}{{24{\rm{EI}}}}\)
3
\(\frac{{{\rm{p}}{{\rm{L}}^3}}}{{12{\rm{EI}}}}\)
4
\(\frac{{{\rm{p}}{{\rm{L}}^3}}}{{8{\rm{EI}}}}\)