A T-frame structure is composed of prismatic beam ABC and non prismatic column DBF that are joined at B by a frictionless pin connection. The beam has sliding support at A and the column is pin supported at F (see figure). Beam ABC and column segment DB have cross-sectional area A; column segment BF has area 2A. The modulus of  elasticity E is the same for both members. Load 2P is applied downward at C, and load P acts at D. Find expressions for the downward displacements of column DBF at D (s_D) and also at B (s_B). Plot axial force (AFD) and axial displacement (ADD) diagrams for column DBF.

Transcribed Image Text:

A 2L/3 EA D EA 2EA F P L/2 B L/3 L/2 EA C 2P