311_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

311_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: Sec_3.8.qxd 9/27/08 1:13 PM Page 305 SECTION 3.8 Statically Indeterminate Torsional Members TB Tmax Substitute numerical values into (Eq. 1): 0.24 P SHEAR STRESS IN PART CB Tmax(d/2) IP tmax Tmax 2tmaxIP d 0.24P (Eq. 1) 45 max Ip d d2 P 2 10 N/m p4 (d d 4) 32 2 1 362.26 * 10 9 2(45 * 106 N/m2)(362.26 * 10 0.05 m 9 m4) 652.07 N # m UNITS: Newtons and meters 6 305 652.07 N # m 0.24 m Pallow m4 2717 N ; 2720 N 0.05 mm Problem 3.8-5 A stepped shaft ACB having solid circular cross 1.50 in. 0.75 in. sections with two different diameters is held against rotation at the ends (see figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0)max that may be applied at section C? (Hint: Use Eqs. 3-45a and b of Example 3-9 to obtain the reactive torques.) C A B T0 6.0 in. 15.0 in. Solution 3.8-5 Stepped shaft ACB dA LA allow 0.75 in. dB 6.0 in. LB 6000 psi Combine Eqs. (1) and (3) and solve for T0: 1.50 in. 15.0 in. (T0)AC Find (T0)max REACTIVE TORQUES (from Eqs. 3-45a and b) LBIPA b TA T0 a LBIPA + LAIPB TB T0 a LAIPB b LBIPA + LAIPB 4 LAdB 1 pd3 t allow a 1 + b 4 16 A LBdA (1) ALLOWABLE TORQUE BASED UPON SHEAR STRESS AC TA 1 pd3 t 16 A allow tCB TB (3) 3678 lb-in. ALLOWABLE TORQUE BASED UPON SHEAR STRESS IN SEGMENT CB 16TA 3 pdA 1 pd3 t 16 A AC (4) Substitute numerical values: (T0)AC (2) IN SEGMENT tAC LAIPB 1 pd3 t a1 + b 16 A allow LBIPA 16TB 3 pdB 1 pd 3 t 16 B CB 1 pd 3 t 16 B allow (5) ...
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