187_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

187_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: Sec_2.6.qxd 9/25/08 11:40 AM Page 181 SECTION 2.6 Stresses on Inclined Sections Problem 2.6-6 A steel bar with diameter d a tensile load P 181 12 mm is subjected to 9.5 kN (see figure). (a) What is the maximum normal stress max in the bar? (b) What is the maximum shear stress 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. d = 12 mm P P = 9.5 kN Solution 2.6-6 Steel bar in tension (b) MAXIMUM SHEAR STRESS The maximum shear stress is on a 45° plane and equals x/2. P tmax 9.5 kN (a) MAXIMUM NORMAL STRESS sx max P A 9.5 kN p (12 mm)2 4 84.0 MPa sx 2 ; 42.0 MPa (c) STRESS ELEMENT AT 45° 84.0 MPa ; NOTE: All stresses have units of MPa. Problem 2.6-7 During a tension test of a mild-steel specimen (see figure), the extensometer shows an elongation of 0.00120 in. with a gage length of 2 in. Assume that the steel is stressed below the proportional limit and that the modulus of elasticity E 30 106 psi. (a) What is the maximum normal stress max in the specimen? (b) What is the maximum shear stress max? (c) Draw a stress element oriented at an angle of 45° to the axis of the bar and show all stresses acting on the faces of this element. 2 in. T T ...
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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.

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