{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

696_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 696_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 08Ch08.qxd 9/18/08 690 11:06 AM Page 690 CHAPTER 8 Applications of Plane Stress RESULTANT FORCES ACTING ON AB P weight of AB and BC P qL T torque due to weight of BC T L (qL) a b 2 pgLd2/4 (2) qL2 2 PL (3) bending moment at A MA PL /2 0 sy sA txy sA sA 2 + a b + t2 A 2 A2 tA (8) Substitute (8) into (7): pgL2d 2 8 MA sx s1 gL2 (6 + 140) d 2gL2 (3 + 110) d (9) Substitute from (5) and (6) and simplify: 3pgL2d2/8 3PL /2 (4) s1 STRESSES AT THE TOP OF THE BAR AT A sA sA 2gL2 (3 + 110) s1 SOLVE FOR d normal stress due to MA M(d/2) I (10) M(d/2) pd 4/64 12gL2 d 32M pd 3 tA tA pd 4/32 2gL2 d 16T pd 3 g (6) 490 lb/ft3 L 20 in. d T(d/2) ; (11) SUBSTITUTE NUMERICAL VALUES INTO EQ. (11): shear stress due to torque T T(d/2) Ip (5) d 1.50 in. 0.28356 lb/in.3 s1 932 psi ; STRESS ELEMENT ON TOP OF THE BAR AT A s1 s1 A principal tensile stress (maximum tensile stress) sx + sy + 2 a sy sx 2 2 b + t2 xy (7) Problem 8.5-14 A pressurized cylindrical tank with flat ends is loaded by torques T and tensile forces P (see figure). The tank has radius r 50 mm and wall thickness t 3 mm. The internal pressure p 3.5 MPa and the torque T 450 N # m. What is the maximum permissible value of the forces P if the allowable tensile stress in the wall of the cylinder is 72 MPa? T P T P ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online