Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure).

Problem 2.3-29

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 o  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 B L/2 P L/3 L/2 EA C 2P