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Section Properties

# Section Properties - Cross-sectional Properties T he...

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Cross-sectional Properties The behavior of a deformable body under load is dependent on its geometric shape. • Area (A) • Centroid (Y & X) • Moment Of Inertia (Ix & I y ) • Polar Moment Inertia (J)
Fundamental Equations Of Mechanics Materials • Axial load - Normal Stress p P Axial Force (J == - -- --------- A Cross -Sectional Area

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Fundamental Equations Of Mechanics Materials • Axial Displacement p b= PL AE _ (Axial Force)(Length) (Cross -Sectional Area)(Modulus Elasticity) L A ~I8
Fundamental Equations Of Mechanics Materials • Bending 1- Bending Stress u=My I (Moment)(Distance From Neutral Axis) (Moment Inertia)

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Fundamental Equations Of Mechanics Materials • Bending 2 - Beam Deflection • Function of load, span, support conditions, flexural stiffness (EI) i., I uuummuuuummmmumumr" P PL 3 I \ ~~ 5 == -,' T , 3E1' ' --- =.> ~ L
--- Fundamental Equations Of Mechanics Materials Shear v - Average direct shear stress ,.~ -V v Force 'f avg - A Cross - sectional Area - Transverse r = VQ = (Shear Force{jydA ) It (Moment Inertia)(Member Width)

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Fundamental Equations Of Mechanics Materials
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Section Properties - Cross-sectional Properties T he...

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