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T13.2 Stress due to Bending

# T13.2 Stress due to Bending - Stress due to Bending Moment...

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Stress due to Bending Moment T13.2

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Internal Resultant & Stress Pairings P V T M normal stress [F/L 2 ] shear stress [F/L 2 ] Force [F] Moment [F-L] 1 normal component 2 tangential components 1 normal component 1 normal component 2 tangential components 2 tangential components Internal resultant Internal resultant
Recall: Centroid x y x y x y AA x dA xdA y dA ydA  0 0 A A

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Kinematics
Variation in Strain & Stress x 0 0 0 lim () lim lim s s s ss s y y y           M

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Moment-Stress Relationship M A B A B
The Essentials NA My I  and reason the sign [tension (+) or compression (-)] based on the right-hand rule and the location where stress is being evaluated relative to the NA. Note: “max stress” means the maximum of 1) absolute value of max tension, and 2) absolute value of max compression. In stating the “max stress” indicate whether it is tension (+) or compression (-).

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Moment of Inertia x’ y’ dA
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T13.2 Stress due to Bending - Stress due to Bending Moment...

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