week6-2 - Flexure FlexureFormula Stresswithpositionfrom...

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exure Formula Flexure Formula y E x κ σ = Stress with position from the neutral surface z I E M = Moment curvature relationship y M ress in a beam produced z x I = Stress in a beam produced by a bending moment
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exure Formula Flexure Formula bd i t z x I y M = σ The bending stresses vary linearly over the depth of e cross section the cross section
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exure Flexure Positive curvature ( κ ) egative curvature ( Negative curvature ( κ )
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ction Modulus 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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aluating Bending Stresses Evaluating Bending Stresses etermine the internal bending 1. Determine the internal bending moment M onstruct a shear rce and ending Construct a shear force and bending moment diagram 2. Calculate the properties for the pp beam cross section Locate centroid Calculate the moment of inertia 3. Use flexure formula to calculate bending stress
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nding the centroid Finding the centroid A y = i i i A y A i is the area of section i y i is the distance between the centroid of area i and the reference axis
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nding the centroid Finding the centroid Find the area of each piece and the sum of the areas.
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week6-2 - Flexure FlexureFormula Stresswithpositionfrom...

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