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ME 211 Homework 8 Solutions

# ME 211 Homework 8 Solutions - Problem#111.8...

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ME 211 Homework Set #8 Solutions 10‐31‐2008 Problem #1 11.8 The solid shaft as a diameter of 0.75 in. If it is subjected to the torques shown, determine the maximum shear stress developed in regions CD and EF of the shaft. The bearings at A and F allow free rotation of the shaft. 1.) Determine the torque in regions CD and EF. 40lb*ft 20lb*ft 35lb*ft 25lb*ft

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2.) Determine the maximum shear stress by applying the torsion formula to the segment CD. 3.) Determine the maximum shear stress by applying the torsion formula for the segment EF.
Problem #2 – 11.9 A steel tube having an outer diameter of 2.5in is used to transmit 35hp when turning at 2700rev/min. Determine the inner diameter d of the tube to the nearest 1/8in if the allowable shear stress is τ allow =10ksi. 1.) Convert the turning speed to rad/s 2.) Determine the torque on the shaft 3.) Utilize the shear stress equation to determine the diameter

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Use the diameter equal to 2.5in.
*Problem #3 – 11.18 The coupling is used to connect the two shafts together. Assuming that the shear stress in the bolts is uniform, determine the number of bolts necessary to make the maximum shear stress in the shaft equal to the shear stress in the bolts. Each bolt has a diameter d.

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• Fall '07
• ?
• Shear, Stress, The Temptations, Thecouplingisusedtoconnectthetwoshaftstogether.Assumingthattheshear stressintheboltsisuniform,determinethenumberofboltsnecessarytomakethe maximumshearstressintheshaftequaltotheshearstressinthebolts.Eachbolt, Thecontourofthesurfaceoftheshaftisdefinedbytheequationy=e^ax,whereais aconstant.IFtheshaftissubjectedtoatorqueTatitsends,determinetheangleof twistofendAwithrespecttoendB.TheshearmodulusisG, ThebeamissubjectedtoamomentM.Determinethepercentageofthis momentthatisresistedbythestressesactingonboththetopandbottom boards,AandB,ofthebeam

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