07-01ChapGere.0004

07-01ChapGere.0004 - u ) B 4,200 psi 3,000 psi 11,000 psi...

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Solution 7.2-6 Plane stress (angle u ) 428 CHAPTER 7 Analysis of Stress and Strain x O 0.5 MPa u 5 ] 40 8 18.5 MPa 17.8 MPa y s x 52 25.5 MPa s y 5 6.5 MPa t xy 52 12.0 MPa u 52 40 8 52 0.5 MPa 52 17.8 MPa s y 1 5 s x 1 s y 2 s x 1 52 18.5 MPa t x 1 y 1 52 s x 2 s y 2 sin 2 u 1 t xy cos 2 u s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u Problem 7.2-7 The stresses acting on element B in the web of a wide-flange beam are found to be 11,000 psi compression in the horizontal direction and 3,000 psi compression in the vertical direction (see figure). Also, shear stresses of magnitude 4,200 psi act in the directions shown. Determine the stresses acting on an element oriented at a counterclockwise angle of 41° from the horizontal. Show these stresses on a sketch of an element oriented at this angle. Solution 7.2-7 Plane stress (angle
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Unformatted text preview: u ) B 4,200 psi 3,000 psi 11,000 psi Side View Cross Section B x O 3,380 psi u 5 41 8 11,720 psi 2,280 psi y s x 5 2 11,000 psi s y 5 2 3,000 psi t xy 5 2 4,200 psi u 5 41 8 5 2 11,720 psi 5 3,380 psi s y 1 5 s x 1 s y 2 s x 1 5 2 2,280 psi t x 1 y 1 5 2 s x 2 s y 2 sin 2 u 1 t xy cos 2 u s x 1 5 s x 1 s y 2 1 s x 2 s y 2 cos 2 u 1 t xy sin 2 u Problem 7.2-8 Solve the preceding problem if the normal and shear stresses acting on element B are 54 MPa, 12 MPa, and 20 MPa (in the directions shown in the figure) and the angle is 42.5 (clockwise). B 54 MPa 12 MPa 20 MPa A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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