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LEARN : LIMIT STATE OF COLLAPSE SHEAR AND BOND
This limit state is also called as strength limit state as it corresponds to the maximum load carrying capacity i.e., the safety requirements of the structure. The limit state of collapse is assessed from collapse of the whole or part of the structure. As per this limit state, the resistance to bending, shear, torsion and axial loads at every section shall not be less than that produced by the most unfavorable combination of loads on that structure.
INTRODUCTION
Limit state of collapse shear and bond :
A beam loaded with transverse loads is subjected to shear force and bending moment. The shear force at any section is equal to the rate of change of bending moment. The shear force results into shear stresses across the cross-section is given by the following equations.
\[q=\frac{V(A.\bar{y})}{I.b}\]
where, q = Shear stress
I = Moment of inertia of the beam section
b = Width of section
V = Shear force at the section
(A.ȳ) = First moment of the area above the section about neutral axis
On the basis of above equation the shear stress distribution across a rectangular cross-section is shown in Fig. 5.1(b).
LIMIT STATE OF COLLAPSE SHEAR AND BOND[/caption]
It is parabolic with zero at top and bottom and the maximum shear stress, occurs at neutral axis is equal to\[ \frac{3V}{2bd}\].
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