a guest Jun 27th, 2019 65 Never
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  1. begin{align*}
  2. par vspace{3mm} R{_{1}} &= dfrac{wl}{2} \
  3. par vspace{3mm} R{_{2}} &= R^{_{1}} \
  4. par vspace{3mm} V{_{x}} &= wleft(dfrac{l}{2}-xright) \
  5. par vspace{3mm} V{_{max}} &= R^{_{A}}=R^{_{B}} hfill left(taxt{at};R_{1};text{and};R_{2}) \
  6. par vspace{3mm} M{_{max}}&=dfrac{wl^{2}}{8} hfill text{(at centre)}\
  7. par vspace{3mm} M{_{x}}&=dfrac{wx}{2}left(l-xright) \
  8. par vspace{3mm} Delta{_{max}}&=dfrac{5wl^{4}}{384EI} \
  9. par vspace{3mm} Delta{_{x}}&=dfrac{wx}{24EI}left(l^{3}-2lx^{2}+x^{3}right) hfill text{(at centre)}\
  10. end{align*}
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