02-04ChapGere.0010

02-04ChapGere.0010 - a between the plane of the joint and...

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Solution 2.6-13 Brass bar in tension SECTION 2.6 Stresses on Inclined Sections 131 a 5 36 8 u 5 90 82 a 5 54 8 P 5 6000 lb S TRESS s x BASED UPON ALLOWABLE STRESSES IN THE BRASS Tensile stress ( u 5 0 8 ): s allow 5 13,500 psi s x 5 13,500 psi (1) Shear stress ( u 5 45 8 ): t allow 5 6500 psi s x 5 2 t allow 5 13,000 psi (2) S TRESS s x BASED UPON ALLOWABLE STRESSES ON THE BRAZED JOINT ( u 5 54 8 ) s allow 5 6000 psi (tension) t allow 5 3000 psi (shear) t max 5 s x 2 A 5 p d 2 4 Tensile stress: s u 5 s x cos 2 u 5 17,370 psi (3) Shear stress: t u 52 s x sin u cos u 5 6,310 psi (4) A LLOWABLE STRESS Compare (1), (2), (3), and (4). Shear stress on the brazed joint governs. s x 5 6310 psi D IAMETER OF BAR d min 5 1.10 in. A 5 p d 2 4 Ê d 2 5 4 A p Ê d min 5 B 4 A p A 5 P s x 5 6000 lb 6310 psi 5 0.951 in. 2 s x 5 ` t allow sin u cos u ` 5 3,000 psi (sin 54 8 )(cos 54 8 ) s x 5 s allow cos 2 u 5 6000 psi (cos 54 8 ) 2 P P q p d a n u = 54 ° 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
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Unformatted text preview: a 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. (a) What are the normal and shear stresses acting on the glued joint if a 5 20? (b) If the allowable shear stress on the joint is 2.25 MPa, what is the largest permissible value of the angle a ? (c) For what angle a will the shear stress on the glued joint be numerically equal to twice the normal stress on the joint? P P a A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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