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Chapter: Civil - Mechanics Of Solids - Transverse Loading On Beams And Stresses In Beam

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Beam shear

Beam shear is defined as the internal shear stress of a beam caused by the shear force applied to the beam.

Beam shear

 

Beam shear is defined as the internal shear stress of a beam caused by the shear force applied to the beam.


where

 

V = total shear force at the location in question; 

Q = statical moment of area;

 

t = thickness in the mat erial perpendicular to the shear;

I = Moment of Inertia of the entire cross sectional area.

 

This formula is also known as t he Jourawski formula.[1]

 

Semi-monocoque shear

 

Shear stresses within a semi- monocoque structure may be calculated by idealizing the cross-section of the structure into a set of stringers (carrying only axial loads ) and webs (carrying only shear flows). Dividing th e shear flow by the thickness of a given portion of the semi-monocoque structure yields the shear stress. Thus, the maximum shear stre ss will occur either in the web of maximum shear flo w or minimum thickness.

 

Also constructions in soil can fail due to shear; e.g., the we ight of an earth-filled dam or dike may cause th e subsoil to collapse, like a smalllandslide.

 

Impact shear

 

The maximum shear stress crea ted in a solid round bar subject to impact is g iven as the equation:


where

 

U = change in kinetic e nergy;

 

G = shear modulus;

 

V = volume of rod;

 

And



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