{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

166_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 166_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows pages 1–2. Sign up to view the full content.

160 CHAPTER 2 Axially Loaded Members Solution 2.5-11 Triangular frame held by two wires F REE - BODY DIAGRAM OF FRAME E QUATION OF EQUILIBRIUM M C 0 P (2 b ) T A (2 b ) T B ( b ) 0 or 2 T A T B 2 P (Eq. 1) D ISPLACEMENT DIAGRAM E QUATION OF COMPATIBILITY A 2 B (Eq. 2) (a) L OAD P ONLY Force-displacement relations: (Eq. 3, 4) ( L length of wires at A and B .) Substitute (3) and (4) into Eq. (2): or T A 2 T B (Eq. 5) Solve simultaneously Eqs. (1) and (5): (Eqs. 6, 7) Numerical values: P 500 lb T A 400 lb T B 200 lb ; T A 4 P 5 T B 2 P 5 T A L EA 2 T B L EA d A T A L EA d B T B L EA (b) L OAD P AND TEMPERATURE INCREASE T Force-displacement and temperature-displacement relations: (Eq. 8) (Eq. 9) Substitute (8) and (9) into Eq. (2): or T A 2 T B EA ( T ) (Eq. 10) Solve simultaneously Eqs. (1) and (10):

This preview has intentionally blurred sections. Sign up to view the full version.

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

{[ snackBarMessage ]}