195_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

195_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 189 SECTION 2.6 Stresses on Inclined Sections Areqd dmin Ap NAC 2ta 4 Areqd Areqd 0.44 in2 dmin 0.75 in NAC A sX NAC p2 d 4 dreqd )2 A p sX 4 NAC xsin( sx set equal to then dreqd ja 4 NAC & solve for dreqd 0.65 in shear on brazed joint tension on brazed joint xcos( A p sx 17.37 ksi x cos(u)2 dreqd (2) check tension and shear on brazed joint sx sja sx x, ) cos( ) tja ` A p sX (sin(u) cos(u)) 4 NAC dreqd Problem 2.6-14 Two boards are joined by gluing along a scarf joint, as shown in the figure. For purposes of cutting and gluing, the angle between the plane of the joint and the faces of the boards must be between 10° and 40°. Under a tensile load P, the normal stress in the boards is 4.9 MPa. ` dreqd x 6.31 ksi 1.08 in P a Solution 2.6-14 Two boards joined by a scarf joint 90° 70° 2 x (4.9 MPa)(cos 70°)2 cos ; 0.57 MPa x 40° Due to load P: sin cos ( 4.9 MPa)(sin 70°)(cos 70°) x 4.9 MPa (a) STRESSES ON JOINT WHEN ; 1.58 MPa 20° (b) LARGEST ANGLE allow ; P (a) What are the normal and shear stresses acting on the glued joint 20°? if (b) If the allowable shear stress on the joint is 2.25 MPa, what is the largest permissible value of the angle ? (c) For what angle will the shear stress on the glued joint be numerically equal to twice the normal stress on the joint? 10° 189 x sin IF allow cos 2.25 MPa ...
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