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200_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 200_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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194 CHAPTER 2 Axially Loaded Members Problem 2.6-19 A nonprismatic bar 1–2–3 of rectangular cross section (cross sectional area A) and two materials is held snugly (but without any initial stress) between rigid supports (see figure). The allowable stresses in compression and in shear are specified as a and a , respectively. Use the following numerical data: ( Data : b 1 4 b 2 /3 b ; A 1 2 A 2 A ; E 1 3 E 2 /4 E ; 1 5 2 /4 ; a 1 4 a 2 /3 a , a 1 2 a 1 /5, a 2 3 a 2 /5; let a 11 ksi, P 12 kips, A 6 in. 2 , b 8 in. E 30,000 ksi, 6.5 10 -6 /°F; 1 5 2 /3 490 lb/ft 3 ) (a) If load P is applied at joint 2 as shown, find an expression for the maximum permissible temperature rise T max so that the allowable stresses are not to be exceeded at either location A or B . (b) If load P is removed and the bar is now rotated to a vertical position where it hangs under its own weight (load intensity w 1 in segment 1–2 and w 2 in segment 2–3), find an expression for the maximum permissible temperature

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200_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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