702_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

702_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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Unformatted text preview: 08Ch08.qxd 9/18/08 696 11:06 AM Page 696 CHAPTER 8 Applications of Plane Stress Problem 8.5-18 A horizontal bracket ABC consists of two perpendicular arms AB of length 0.5 m, and BC of length of 0.75 m. The bracket has a solid circular cross section with diameter equal to 65 mm. The bracket is inserted in a frictionless sleeve at A (which is slightly larger in diameter) so is free to rotate about the z0 axis at A, and is supported by a pin at C. Moments are applied at point C as follows: M1 1.5 kN # m in the x-direction and M2 1.0 kN # m acts in the ( z) direction. Considering only the moments M1 and M2, calculate the maximum tensile stress st, the maximum compressive stress sc, and the maximum in-plane shear stress tmax at point p, which is located at support A on the side of the bracket at midheight. y0 A 0.75 m Frictionless sleeve embedded in support p x0 B y0 C z0 M2 0.5 m p M1 x0 O 65 mm Cross section at A Solution 8.5-18 d 65 mm T b1 0.5 m b2 0.75 m length of arm BC length of arm AB 0 Torsional frictionless sleeve at support A (MZ) M2 b1 Vy M1 1.5 kN # m sx 0 M2 1.0 kN # m sy 0 PROPERTIES OF THE CROSS SECTION d 65 mm r d 2 txy tmax Vy Q A txy Id a 0.804 MPa sy sx 2 2 b + t2 xy A p2 d 4 A 3.318 103 mm2 Pure Shear I p4 d 64 I 8.762 105 mm4 STRESSES AT POINT p ON THE SIDE OF THE BRACKET Ip 2I Ip 1.752 106 mm4 Q 23 r 3 Q 2.289 104 mm3 STRESS RESULTANTS AT SUPPORT A Nz 0 My 0 Mx Axial force M2 b2 + M1 b1 Mx 0 tmax 0.804 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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