This preview shows page 1. Sign up to view the full content.
Unformatted text preview: 10Ch10.qxd 9/27/08 7:36 AM Page 831 831 SECTION 10.4 Method of Superposition Problem 10.4-21 The continuous frame ABC has a fixed support at A, L a roller support at C, and a rigid corner connection at B (see figure).
Members AB and BC each have length L and flexural rigidity EI.
A horizontal force P acts at midheight of member AB.
(a) Find all reactions of the frame.
(b) What is the largest bending moment M max in the frame? C B L
P (Note: Disregard axial deformations in member AB and consider
only the effects of bending.) VC
MA VA Solution 10.4-21 Frame ABC with fixed support Slect VC as the redundant.
PL/2 HA P VCL (uB) 2 VCL2
EI (dC) 2 (uB) 2L + VC L3
3EI RELEASED STRUCTURE AND FORCE-DISPL. EQS.
COMPATIBILITY (dC)1 (dC) 2 Substitute for (dC)1 and (dC) 2 and solve:
32 ; FROM EQUILIBRIUM:
32 HA P MA 13PL
32 ; REACTIONS AND BENDING MOMENTS
8EI M max 13PL
32 ; ...
View Full Document
This note was uploaded on 12/22/2011 for the course MEEG 310 taught by Professor Staff during the Fall '11 term at University of Delaware.
- Fall '11