483_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

483_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 05Ch05.qxd 9/25/08 2:29 PM Page 477 477 SECTION 5.12 Beams with Axial Loads Problem 5.12-3 A curved bar ABC having a circular axis (radius h B r 12 in.) is loaded by forces P 400 lb (see figure). The cross section of the bar is rectangular with height h and thickness t. If the allowable tensile stress in the bar is 12,000 psi and the height h 1.25 in., what is the minimum required thickness tmin ? C A P P 45° 45° r h t Solution 5.12-3 Curved bar TENSILE STRESS st r r ra1 M Pe 1 b 12 r cos 45° Pr (2 2 height t 12) tmin P c 1 + 3(2 hsallow r 12) d h SUBSTITUE NUMERICAL VALUES: P thickness A r 12) d h MINIMUM THICKNESS CROSS SECTION h 3Pr(2 12) P + 2 ht th P c 1 + 3(2 ht radius of curved bar e P M + A S ht S 12 th 6 400 lb s allow r 12 in. h tmin 12,000 psi 1.25 in. 0.477 in. ; B Problem 5.12-4 A rigid frame ABC is formed by welding two steel pipes at B (see figure). Each pipe has cross-sectional area A 11.31 * 103 mm2, moment of inertia I 46.37 * 106 mm4, and outside diameter d 200 mm. Find the maximum tensile and compressive stresses st and sc, respectively, in the frame due to the load P 8.0 kN if L H 1.4 m. d d P H A C d L L ...
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