b92d3248-81c1-42ee-aac4-a2878e5785ca 8 Martin Kraska 3 5 false true true 0 7 decimal

&[DATE] &[TIME] - &[FILENAME]

none MaximaTakeover All functions handled by SMath

Inputs

w 100 lbf ft / * :

a 0 in * :

b 103 in * :

L 103 in * :

c L a - b - : in 0

R.1 w b * 2 L * / 2 c * b + (* : lbf 429.17

R.2 w b * 2 L * / 2 a * b + (* : lbf 429.17

Solve for shear

x V.UDL 0 x 0 ≤ R.1 x 0 ≥ (x a ≤ (& R.1 w x a - (* - x a ≥ (x a b + (≤ (& R.2 - x a b + (≥ (x L ≤ (& 0 cases :

x in * V.UDL

a V.UDL 0

a 1 in * + V.UDL 1870 N *

Integrate for moment along beam

x M.UDL x' V.UDL x' a x int :

x' in * M.UDL N m * /

50 in * M.UDL N m * 1240

Integrate for θ along beam

x θ.UDL x M.UDL x int :

x in * θ.UDL

Integrate for Δ along beam

x Δ.UDL x θ.UDL x int :

x in * Δ.UDL