Strength of Materials · T3 · Problem 3
Conjugate beam method
Problem statement
Beam ABCDEF has overhangs AB and EF, a pin support at B and a roller at E; load P at A, Q at F, a clockwise moment M₀ at C and a counterclockwise moment M₀ at D. Using the conjugate beam method, with E = 200 GPa and section b = 40 cm × h = 95 cm: P = 150 + W/10 kN, Q = 100 + W/10 kN, M₀ = 80 + W/10 kN·m; LAB = 1.5 + X/100, LBC = 3.5 + Y/100, LCD = 5 + Z/100, LDE = 3.7 + Y/100, LEF = 2 + X/100 (m).
a) Deflections by segment, at A and F, and maximum deflection (mm).
b) Slopes by segment and their variation.
* W, X, Y, Z = last 4 digits of the student code (N0000WXYZ).
Concepts: overhanging beam, deflections, slopes, concentrated moment, maximum deflection
