Strength of Materials · T3 · Problem 2
Deflection by double integration
Problem statement
The beam shown carries w₁ = 10 + W/10 lb/ft, w₂ = 15 + W/10 lb/ft and P = 50 + W/10 lb; L₁ = 25 + X/10 and L₂ = 30 + Y/10 (ft). Support A settles ΔA = −0.1 − Z/10 ft; EI is constant. Use the double integration method.
a) Moment equations, reactions and integration constants.
b) Elastic curve and slopes by segment, deflection and slope at B, and maximum deflection of the beam.
* W, X, Y, Z = last 4 digits of the student code (N0000WXYZ).
Concepts: elastic curve, support settlement, fixed-end beam, integration constants, maximum deflection
