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week6-2 - Flexure FlexureFormula theneutralsurface x = E y...

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Flexure Formula y E x κ σ = Stress with position from the neutral surface M z I E = κ Moment curvature relationship y M Stress in a beam produced z x I = σ by a bending moment
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Flexure Formula Th b di t z x I y M = σ The bending stresses vary linearly over the depth of the cross section
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Flexure Positive curvature ( κ ) Negative curvature ( κ )
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Section Modulus I S z = c c = distance from neutral surface to the outer surface It is a convenient property for beam design because it combines two important cross sectional properties into a single quantity
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Evaluating Bending Stresses 1 Determine the internal bending 1. Determine the internal bending moment M Construct a shear force and bending Construct a shear force and bending moment diagram 2. Calculate the properties for the beam cross section Locate centroid Calculate the moment of inertia 3. Use flexure formula to calculate bending stress
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