L19 - diameter. Stresses Under Combined Loadings Pick a...

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Design of a Transmission Shaft • If power is transferred to and from the shaft by gears or sprocket wheels, the shaft is subjected to: transverse loading + torsional loading . T r an s v e l o ad i n g transverse loading To find maximum shearing stress: Normal stresses due to transverse loads may be large Shearing stresses due to transverse loads are usually small
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Design of a Transmission Shaft • At any section, J Tc M M M I Mc m z y m = + = = τ σ 2 2 2 where • Maximum shearing stress, () 2 2 max 2 2 2 2 max 2 section, - cross annular or circular a for 2 2 T M J c J I J Tc I Mc m m + = = + = + = • Shaft section requirement, all T M c J max 2 2 min + =
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Sample Problem 8.3 • Determine the gear torques and corresponding tangential forces. • Find reaction forces • Identify critical shaft section from torque and bending moment diagrams. • Find maximum shear stress or Calculate minimum allowable shaft
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Unformatted text preview: diameter. Stresses Under Combined Loadings Pick a section through points of interest. Determine force-couple system at centroid of section required to maintain equilibrium. System of internal forces consist of three force components and three couple vectors. Determine stress distribution by applying the superposition principle. Stresses Under Combined Loadings Normal stress Axial force in-plane couple Shear stress shear force components twisting couple Stresses Under Combined Loadings Normal and shearing stresses -> principal stresses maximum shearing stress orientation of principal planes. Analysis is valid only if: superposition principle Saint-Venants principle....
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This note was uploaded on 04/20/2008 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Spring '08 term at Rensselaer Polytechnic Institute.

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L19 - diameter. Stresses Under Combined Loadings Pick a...

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