Strength of Materials · T3 · Problem 1
Shear stress and section design
Problem statement
Calculate the shear stress distribution over the cross section, sizing dimension H (round up to the next integer) so that the maximum bending normal stress does not exceed the allowable stress. Failure stress 3500 kg/cm² with FS = 2; P = 15 + W/10 Tn, w₁ = 5 + W/10 Tn/m, w₂ = 7 + W/10 Tn/m; L₁ = 4 + X/100, L₂ = 3.5 + Y/100, L₃ = 3 + Z/100 (m). Section: b = 60 + X/100 cm, t = 15 + Y/100 cm, heights 0.2H, 0.35H and 0.45H from the base.
a) Reactions, shear and moment diagrams, and sizing of H.
b) Shear stress distribution and maximum stress (kgf/cm²).
* W, X, Y, Z = last 4 digits of the student code (N0000WXYZ).
Concepts: bending normal stress, shear stress distribution, H section, shear and moment diagrams, sizing
