197_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

197_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 191 SECTION 2.6 Stresses on Inclined Sections 1 1 tanu 2 12 From Eq. (1) or (2): Solution 2.6-15 Bar in uniaxial stress tan2u x u 35.26° 191 ; 15,000 psi x sin cos ( 15,000 psi)(sin 35.26°)(cos 35.26°) ; 7,070 psi Minus sign means that 35.26°. for which (a) ANGLE acts clockwise on the plane AND SHEAR STRESS x cos2 10,000 psi sx s0 10,000 psi 2 PLANE AT ANGLE 90° 90° 90°)]2 x[cos( x 90° sx (1) cos2u cos u x[ sin ]2 NOTE: All stresses have units of psi. sin2 (b) MAXIMUM NORMAL AND SHEAR STRESSES 5,000 psi s0 90° 2 5,000 psi sin2u sin u max (2) x tmax sx 2 15,000 psi 7,500 psi ; ; Equate (1) and (2): 10,000 psi 2 cos u 5,000 psi sin2u Problem 2.6-16 A prismatic bar is subjected to an axial force that produces a 65 MPa and a shear stress 23 MPa on a certain inclined plane tensile stress (see figure). Determine the stresses acting on all faces of a stress element oriented at 30° and show the stresses on a sketch of the element. 65 MPa u 23 MPa ...
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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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