308_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 308_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: Sec_3.8.qxd 302 9/27/08 1:13 PM Page 302 CHAPTER 3 Torsion Statically Indeterminate Torsional Members T0 Problem 3.8-1 A solid circular bar ABCD with fixed supports is TA acted upon by torques T0 and 2T0 at the locations shown in the figure. Obtain a formula for the maximum angle of twist max of the bar. (Hint: Use Eqs. 3-46a and b of Example 3-9 to obtain the reactive torques.) B A 2T0 C 3L — 10 D 3L — 10 TD D TD 4L — 10 L Solution 3.8-1 Circular bar with fixed ends ANGLE OF TWIST AT SECTION B From Eqs. (3-46a and b): TA T0 LB L TB T0 LA L fB TA(3L/10) GIP fAB 9T0 L 20GIP ANGLE OF TWIST AT SECTION C APPLY THE ABOVE FORMULAS TO THE GIVEN BAR: TA T0 a 7 4 b + 2T0 a b 10 10 15T0 10 TD 3 6 T0 a b + 2T0 a b 10 10 15T0 10 fC TD(4L/10) GIP fCD MAXIMUM ANGLE OF TWIST fmax 3T0 L 5GIP fC (a) For what distance x will the angle of twist at points B and C be a maximum? (b) What is the corresponding angle of twist max? (Hint: Use Eqs. 3-46a and b of Example 3-9 to obtain the reactive torques.) ; T0 TA A T0 B Problem 3.8-2 A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques T0, as shown in the figure. The torques are applied at points B and C, each of which is located at distance x from one end of the bar. (The distance x may vary from zero to L/2.) 3T0 L 5GIP C x x L ...
View Full Document

## 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.

Ask a homework question - tutors are online