Solutions for Mechanics of Materials
Problem 5.1PP:
Determine the internal torque at each section and show the shear stress on differential volume...Problem 5.2PP:
Determine the. internal torque at each section and show the shear stress on differential volume...Problem 5.3PP:
The solid and hollow shafts are each subjected to the torque T. In each case, sketch the shear...Problem 5.4PP:
The motor delivers 10 hp to the shaft. If it rotates at 1200 rpm, determine the torque produced by...Problem 5.1FP:
The solid circular shaft is subjected to an internal torque of T = 5 kN m. Determine the shear...Problem 5.2FP:
The hollow circular shaft is subjected to an internal torque of T = 10 kN m. Determine the shear...Problem 5.3FP:
The shaft is hollow from A to B and solid from B to C. Determine the maximum shear stress in the...Problem 5.6FP:
Determine the shear stress a: point A on the surface of the shaft. Represent the state of stress on...Problem 5.7FP:
The solid 50-mm-diameter shaft is subjected to the torques applied to the gears. Determine the...Problem 5.8FP:
The gear motor can develop 3 hp when it turns at 150 rev/min. If the allowable shear stress for the...Problem 5.1P:
The solid shaft of radius r is subjected to a torque T. Determine the radius r' of the inner core of...Problem 5.2P:
The solid shaft of radius r is subjected to a torque T. Determine the radius r' of the inner core of...Problem 5.3P:
A shaft is made of an aluminum alloy having an allowable shear stress of allow = 100 MPa. If the...Problem 5.4P:
The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly...Problem 5.5P:
The copper pipe has an outer diameter of 2.50 in. and an inner diameter of 2.30 in. If it is tightly...Problem 5.6P:
The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of allow = 60 MPa....Problem 5.7P:
The solid aluminum shaft has a diameter of 50 mm. Determine the absolute maximum shear stress in the...Problem 5.8P:
The solid 30-mm-diameter shaft is used to transmit the torques applied to the gears. Determine the...Problem 5.9P:
The solid shaft is fixed to the support at C and subjected to the torsional loadings. Determine the...Problem 5.10P:
The link acts as part of the elevator control for a small airplane. If the attached aluminum tube...Problem 5.11P:
The assembly consists of two sections of galvanized steel pipe connected together using a reducing...Problem 5.12P:
The shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the...Problem 5.13P:
The shaft has an outer diameter of 100 mm and an inner diameter of 80 mm. If it is subjected to the...Problem 5.14P:
A steel tube having an outer diameter of 2.5 in. is used to transmit 9 hp when turning at 27...Problem 5.15P:
If the gears are subjected to the torques shown, determine the maximum shear stress in the segments...Problem 5.16P:
If the gears are subjected to the torques shown, determine the required diameter of the A-36 steel...Problem 5.17P:
The rod has a diameter of 1 in. and a weight of 10 lb/ft. Determine the maximum torsional stress in...Problem 5.18P:
The rod has a diameter of 1 in. and a weight of 15 1b/ ft. Determine the maximum torsional stress in...Problem 5.19P:
The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.5 in. If it is tightly...Problem 5.20P:
The copper pipe has an outer diameter of 3 in. and an inner diameter of 2.50 in. If it is tightly...Problem 5.21P:
The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings...Problem 5.22P:
The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings...Problem 5.23P:
The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine...Problem 5.24P:
The 60-mm-diameter solid shaft is subjected to the distributed and concentrated torsional loadings...Problem 5.25P:
The solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine...Problem 5.26P:
The pipe has an outer radius r0 and inner radius r1.Problem 5.27P:
The drive shaft AB of an automobile is made of a steel having an allowable shear stress of allow = 8...Problem 5.28P:
The drive shaft AB of an automobile is to be designed as a thin-walled tube. The engine delivers 150...Problem 5.30P:
The motor delivers 50 hp while turning at a constant rate of 1350 rpm at A. Using the belt and...Problem 5.31P:
The solid steel shaft AC has a diameter of 25 mm and is supported by smooth bearings at D and E. It...Problem 5.32P:
The pump operates using the motor that has a power of 85 W. If the impeller at B is turning at 150...Problem 5.33P:
The gear motor can develop 110 hp when it turns at 300 rev/min. If the shaft has a diameter of 12...Problem 5.34P:
The gear motor can develop 110 hp when it turns at 80 rev/min. If the allowable shear stress for the...Problem 5.35P:
The gear motor can develop 14 hp when it turns at 600 rev/min. If the shaft has a diameter of 12...Problem 5.36P:
The gear motor can develop 2 hp when it turns at 150 rev/min. If the allowable shear stress for the...Problem 5.37P:
The 6-hp reducer motor can turn at 1200 rev/min. If the allowable shear stress for the shaft is...Problem 5.38P:
The 6-hp reducer motor can turn at 1200 rev/min. If the shaft has a diameter of 58 in., determine...Problem 5.41P:
The A-36 steel tubular shaft is 2 m long and has an outer diameter of 50 mm. When it is rotating at...Problem 5.43P:
The solid shaft has a linear taper from rA at one end to rB at the other. Derive an equation that...Problem 5.44P:
The 1-in.-diameter bent rod is subjected to the load shown. Determine the maximum torsional stress...Browse All Chapters of This Textbook
Chapter 1 - StressChapter 1.2 - Equilibrium Of A Deformable BodyChapter 1.5 - Average Shear StressChapter 1.7 - Limit State DesignChapter 2.2 - StrainChapter 3 - Mechanical Properties Of MaterialsChapter 3.4 - Strain EnergyChapter 3.7 - Failure Of Materials Due To Creep And FatigueChapter 4 - Axial LoadChapter 4.2 - Elastic Deformation Of An Axially Loaded Member
Chapter 4.5 - The Force Method Of Analysis For Axially Loaded MembersChapter 4.6 - Thermal StressChapter 4.9 - Residual StressChapter 5 - TorsionChapter 5.3 - Power TransmissionChapter 5.4 - Angle Of TwistChapter 5.5 - Statically Indeterminate Torque-Loaded MembersChapter 5.7 - Thin-Walled Tubes Having Closed Cross SectionsChapter 5.10 - Residual StressChapter 6 - BendingChapter 6.2 - Graphical Method For Constructing Shear And Moment DiagramsChapter 6.4 - The Flexure FormulaChapter 6.5 - Unsymmetric BendingChapter 6.9 - Stress ConcentrationsChapter 6.10 - Inelastic BendingChapter 7 - Transverse ShearChapter 7.2 - The Shear FormulaChapter 7.3 - Shear Flow In Built-up MemebersChapter 7.5 - Shear Center For Open Thin Walled MembersChapter 8 - Combined LoadingsChapter 8.1 - Thin-Walled Pressure VesselsChapter 8.2 - State Of Stress Caused By Combined LoadingsChapter 9 - Stress TransformationChapter 9.3 - Principal Stresses And Maximum in-Plane Shear StressChapter 9.4 - Mohr's Circle plane-stressChapter 9.5 - Absolute Maximum Shear StressChapter 10 - Strain TransformationChapter 10.3 - Mohr's Circle plane-strainChapter 10.5 - Strain RossettesChapter 10.6 - Material-Property RelationshipsChapter 10.7 - Theories Of FailureChapter 11 - Design Of Beams And ShaftsChapter 11.2 - Prismatic Beam DesignChapter 11.4 - Shaft DesignChapter 12 - Deflection Beams And ShaftsChapter 12.2 - Slope And Displacement By IntegrationChapter 12.3 - Discontinuity FunctionsChapter 12.4 - Slope And Displacement By Moment Area MethodChapter 12.5 - Method Of SuperpositionChapter 12.7 - Statically Indeterminate Beams And Shafts-Method Of IntegrationChapter 12.8 - Statically Indeterminate Beams And Shafts-Moment Area MethodChapter 12.9 - Statically Indeterminate Beams And Shafts-Method Of SuperpositionChapter 13 - Buckling Of ColumnsChapter 13.3 - Columns Having Various Types Of SupportsChapter 13.5 - Inelastic BucklingChapter 13.6 - Design Of Columns For Concentric LoadingChapter 13.7 - Design Of Columns For Eccentric LoadingChapter 14 - Energy MethodsChapter 14.2 - Elastic Strain Energy For Various Types Of LoadingChapter 14.3 - Conservation Of EnergyChapter 14.4 - Impact LoadingChapter 14.6 - Method Of Virtual Forces Applied To TrussesChapter 14.7 - Method Of Virtual Forces Applied To BeamsChapter 14.9 - Castigliano's Theorem Applied To TrussesChapter 14.10 - Castigliano's Theorem Applied To Beams
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