File Tutorial8withAnswers.pdf

File Tutorial8withAnswers.pdf - Tutorial 8 w Problem 5-4...

Info iconThis preview shows pages 1–15. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 12
Background image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 14
Background image of page 15
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Tutorial 8 w Problem 5-4 ' The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 m. If it is tightly secured to the wall at A and three torques areapplied to it as shovtm, determine the absolute maximum shear stress developed in the pipe. %*2_ Problem S-ll The shaft consists of three concentric tubes, each made from the same material and having the inner and outer radii shown. If a torque of T = 800 Nm'is applied to the rigid disk fixed to its end, determine the maximum shear stress in-the shaft. E—é "Solution 5-11 J = g ( (0.038)‘ - (0.032)‘ J + 3% (0.03504 — (0326)“) + .2’5 ( (0.025)“ — (0.020314) J = 2.545(10-6)m4 T . rm = J = MW 038) =11.9 MPa Ans - J 1545(10-6) - Problem 5-12 The solid shaft is fixed to the support at C and subjected to the torsional loadings shown. Determine the shear stress at points A and B and sketch the shear stress On volume elements located at these points. Solution 5-12 ___________,.__.___ TB : gig: 800(0.02) __ 6'79M J ———————§(O.0354) — . Pa Ans‘ . 3m.» 7;=‘°””“ 73:67pm 2? .+ $41!": {A = E: 500(0.035)_ 7 J mac-0354) - 42 MP3 Ans fi=$oa~m Problem 5—19 The steel shaft is subjected to the torsional loading shown. Determine the absolute maximum shear stress in the shaft and sketch the shear—stress distribution along a radial line where it is maximum. “xvi Solution 5-19 __,,,___.....-—-—-~—-— quus is 3.5 W . m ;, imam, two mm of the shaft shoukfi be; mnsidamd sins: J is diffan _ T6 = 5(103 new} — tam: an!!! 7 gmmr ‘22: -8.5(i0’)(0.36} nun- law 7 £40.06)“ = 49.? MP3 = 749.? MPa = 25.1 MP; Ans 46-93 48331-Mechanics of Solid Student Guide, ‘I'uteria! and AssignmeuterbleIgs PROBLEMS ON SMLE TORSION 14-1 (a ) For the hollowalminium shaft (G = 27 GPa) shown, if the applied torque To is 3 kN—m, determine - (i) The shear stress at the inner edge (inner circle ) of the shaft (ii) The maximum shear stress in the shaft (iii) The angle of twist (b ) (1) Determine the torque To causing an angle of twist of 2°. (ii) Determine the angle of twist if the same torque is applied to a solid shaft of the same length and cross-sectional area. 40 mm \w- . .3- e ‘Tovslm Thao‘ré.‘ _..___.____- §__'___’_T__.£§__= '5 a "d"— "' ,7 "H K 3 -_-.' o‘.oL\--+%q read. - Vii thxxowés’szwgbh _ rmiw" 3 S.%_~A\D“‘ :- 9007‘? 'W‘ ‘ ' R 3; PM Ok SDUA ska 4:, " I ‘ 4 “1..— _— :1.—L'..'_':_ _ - s- R, -..—. Born—mm QS= —-—-— = \‘1'SQ'ZMDT'TE‘ a _ TL ><\o Kzusmo . i; Thus) ><\-'l lama 7 ‘35:“— :thnu ‘ L 48331-Mechanics of Solid Student Guide, Tutorial and Assignmt Problem 14-3 The solid spindle AB of diameter d3 = 66 mm passes through the sleeve and is welded to the sleeve at C. The sleeve has an Outer diameter of 80 mm and a Solid Spindle Hollow Sleeve Weld Fan-am I 30 ‘J Section 3-21 69 Th: 'A-36 swel pests an: "drilled" at census! angu— f 3 in speed ink) the soil using the rotary ha an inn=r diamem 225 mm. delermine: Eh: the past with respect to end B whnn the post reaches the depth indicated. Due to soil hicfiou,assum= 1h: torque along thc past Van's: Encarly as shown. and a communist] ion-qua orEGkN-mamatthcbit. I}; - 30—%(15)(3) ~—- 0 2M =‘o; 13 = 102.5 m -m ‘2: 1' Mum 1 '1 j 2Mz =0. 102.5~E(Sz)(z)—T=0 T: (102.5 4.53) kN - m I? 3242 UT ‘4; I335 MW“. “3 JG JG = '10:.5(103)(4) + [a (102.5—2.522)(103}dz gaunzs)‘»(0.1)4)(75)(109) a §{(0.1125)4- (0.1)4}(75)(109) ,. .k a = 0.0980 rad Ans 235 ...
View Full Document

This note was uploaded on 08/22/2011 for the course ENG 48331 taught by Professor Brown during the Three '11 term at University of Technology, Sydney.

Page1 / 15

File Tutorial8withAnswers.pdf - Tutorial 8 w Problem 5-4...

This preview shows document pages 1 - 15. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online