MBD Chapter 4 - 2. Material = homogeneous; stresses within...

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a T b Chapter 4: Static Body Stresses 4.2.Axial Loading = σ PA If the load is uniformly distributed over the cross-section: 1. Section being considered must be well removed from the loaded ends 2. Load is applied exactly along the centroidal axis of the bar 3. Bar = straight cylinder (no holes, notches, threads, internal imperfections, or surface scratches) 4. Bar is free of stress when external loads are removed 5. Bar is in stable equilibrium when loaded 6. Bar is homogenous 4.3.Direct Shear Loading = τ PA Direct shear: rivets, pins, keys, splines 4.4.Torsional Loading Compression (negative axial loading) can cause buckling Chain/cable can withstand Tension (positive axial loading) = τ TrJ = τ 16Tπd3 Assumptions for = τ TrJ 1. Bar is straight and round; torque is longitudinal 2. Material is homogenous and perfectly elastic 3. Cross section is sufficiently remote from load points For Non-round Bars: = ( + . ) τ T 3a 1 8b a2b2 4.5.Pure Bending Loading, Straight Beams = σ MyI 1. Bar must be initially straight and loaded in plane symmetry
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Unformatted text preview: 2. Material = homogeneous; stresses within elastic range 3. Section shouldnt be too close to stress raisers Solid Round Bar max = 32Md3 4.6 Pure Bending Loading, Curved Beams Strain on a fiber: = ( + ) yd rn y Strain on an elastic material: = ( + ) Eyd rn y Curved Beams: = i McieAri = -0 Mc0eAr0 = i KiMcI = KiMZ = -= -i K0McI K0MZ 4.7 Transverse Shear Loading in Beams = = = VIby y0y cydA Thin Walled: = max 2VA Round: = max 43VA Rectangle: = max 32VA 4.10 Stress Equations Related to Mohrs Circle , = + + (-) 1 2 x y2 xy2 x y2 2 = ( -); = + +-; = +(-2 arctan 2xyx y 1 22 1 22cos2 max xy2 x ) y2 2 =-( ) 1 22sin 2 4.12 Stress Concentration Factors, K t = ; = max Ktnom max Ktnom 4.16 Thermal Stresses = T-; -; - strain coefficient of thermal expansion T temperature change...
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This note was uploaded on 03/02/2010 for the course MECH 530 taught by Professor Ramesh during the Spring '10 term at Johns Hopkins.

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MBD Chapter 4 - 2. Material = homogeneous; stresses within...

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