702_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

702_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ; ...
View Full Document

Ask a homework question - tutors are online