837_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 837_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 — 2 P (Note: Disregard axial deformations in member AB and consider only the effects of bending.) VC L — 2 A HA MA VA Solution 10.4-21 Frame ABC with fixed support Slect VC as the redundant. EQUILIBRIUM VA MA VC PL/2 HA P VCL (uB) 2 VCL2 EI (dC) 2 (uB) 2L + VC L3 3EI 4VCL3 3EI RELEASED STRUCTURE AND FORCE-DISPL. EQS. COMPATIBILITY (dC)1 (dC) 2 Substitute for (dC)1 and (dC) 2 and solve: VC 3P 32 ; FROM EQUILIBRIUM: VA (uB)1 (dC)1 PL2 8EI (uB)1L 3P 32 HA P MA 13PL 32 ; REACTIONS AND BENDING MOMENTS PL3 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.

Ask a homework question - tutors are online