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Cantilever with a uniform load
Support reaction, fixed-end moment and tip deflection of a cantilever with a uniformly distributed load. Reference: Standard beam formulas.
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# Cantilever
E_m := 210 GPa
I_b := 8356e4 mm^4
L_c := 2.5 m
w_d := 15 kN/m
# Results
V_0 := w_d*L_c = kN
M_0 := w_d*L_c^2/2 = kN*m
delta_tip := w_d*L_c^4/(8*E_m*I_b) = mm
delta_tip <= L_c/180 =
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More Structural analysis sheets on beams
- Simply supported beam with a uniform load
- Simply supported beam with a central point load
- Cantilever with a point load at the tip
- Beam fixed at both ends with a uniform load
- Propped cantilever with a uniform load
- Two equal spans with a uniform load