{[ 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

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

View Full Document Right Arrow Icon
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):
Background image of page 1

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

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}