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Two equal spans with a uniform load

Support reactions, support moment and span moment of a beam continuous over two equal spans, fully loaded. Reference: Standard beam formulas.

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Two equal spans with a uniform load: worked example sheet in Equation Pad with typeset equations and results.

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# Beam
L_s := 5 m
w_d := 30 kN/m

# Results
R_end := 3*w_d*L_s/8 = kN
R_mid := 5*w_d*L_s/4 = kN
M_sup := w_d*L_s^2/8 = kN*m
M_span := 9*w_d*L_s^2/128 = kN*m
R_end*2 + R_mid = kN
# The reactions add up to the total load 2wL, a quick check.

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