(1.6.6)--3.5材料力学材料力学.ppt

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1、Chapter 3 Torsion Mechanics of Materials3.5 Nonuniform TorsionNonuniform TorsionPure TorsionNonuniform TorsionTorsion of a prismatic bar subjected to torques acting only at the ends.The bar need not be prismatic,and the applied torques may act anywhere along the axis of the bar.Nonuniform TorsionCas

2、e1:Bar consisting of prismatic segments with constant torque throughout each segmentbars of circular cross sectionslinearly elastic Nonuniform TorsionCase2:Bar with continuously varying cross sections and constant torque the polar moment of inertia of the cross section at distance x from the end.bar

3、s of circular cross sectionslinearly elasticangle of taper is less than 10Nonuniform TorsionCase3:Bar with continuously varying cross sections and continuously varying torquebars of circular cross sectionslinearly elasticangle of taper is less than 10Nonuniform TorsionExampleA shaft is driven by a g

4、ear at C.Gears at B and D are driven by the shaft.It turns freely at A and E.T1=275NmT2=450NmT3=175NmDetermine the maximum shear stress and the angle of twist between gears B and D.d=30mmLBC=500mmLCD=400mmG=80GPaNonuniform TorsionExamplexTBCDSolution:Determine the internal torqueCircular Bars of Linearly Elastic MaterialsxTBCDExampleEnd