02-04ChapGere.0003 - (b) M AXIMUM PERMISSIBLE TEMPERATURE...

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124 CHAPTER 2 Axially Loaded Members Problem 2.6-5 A brass wire of diameter d 5 1/16 in. is stretched between rigid supports with an initial tension T of 32 lb (see figure). (a) If the temperature is lowered by 50°F, what is the maximum shear stress t max in the wire? (b) If the allowable shear stress is 10,000 psi, what is the maximum permissible temperature drop? (Assume that the coefficient of thermal expansion is 10.6 3 10 2 6 /°F and the modulus of elasticity is 15 3 10 6 psi.) Solution 2.6-5 Brass wire in tension a 5 10.6 3 10 2 6 / 8 F E 5 15 3 10 6 psi Initial tensile force: T 5 32 lb Stress due to initial tension: Stress due to temperature drop: s x 5 E a ( D T ) (see Eq. 2-18 of Section 2.5) Total stress: s x 5 T A 1 E a ( ¢ T ) s x 5 T A 5 0.003068 in. 2 A 5 p d 2 4 d 5 1 16 in. (a) M AXIMUM SHEAR STRESS WHEN TEMPERATURE DROPS 50 8 F (Eq. 1) Substitute numerical values:
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Unformatted text preview: (b) M AXIMUM PERMISSIBLE TEMPERATURE DROP IF t allow 5 10,000 psi Solve Eq. (1) for D T : Substitute numerical values: T 5 60.2 8 F T 5 2 t max 2 T / A E a t max 5 t allow t max 5 9,190 psi t max 5 s x 2 5 1 2 B T A 1 E a ( T ) R T d T Problem 2.6-6 A steel bar with diameter d 5 12 mm is subjected to a tensile load P 5 9.5 kN (see figure). (a) What is the maximum normal stress s max in the bar? (b) What is the maximum shear stress t max ? (c) Draw a stress element oriented at 45 to the axis of the bar and show all stresses acting on the faces of this element. P = 9.5 kN P d = 12 mm A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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