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What is the unit of deflection?
cm
mm
Degree
Both A and B
Both A and B
Deflection is defined as the vertical displacement or distance a structural element, such as a beam or truss, moves from its original position under the action of an applied load. Since it measures length, its units are expressed in terms of standard distance metrics like centimeters (cm) or millimeters (mm).
Deflection is defined as the vertical displacement or distance a structural element, such as a beam or truss, moves from its original position under the action of an applied load. Since it measures length, its units are expressed in terms of standard distance metrics like centimeters (cm) or millimeters (mm).
dx2d2yтАЛ=EIMтАЛ тАФ The fundamental differential equation of the elastic curve, where y is the deflection.
╬┤maxтАЛ=48EIPL3тАЛ тАФ Standard deflection formula for a simply supported beam with a central point load.
When a force is applied to a structural member, internal stress is induced, resulting in strain. The total cumulative deformation across the length of the member manifests as physical movement at specific points, which is mathematically determined by the double integration of the bending moment equation or energy methods like Castigliano's Theorem.
Deflection is a linear measure of structural deformation.
The SI base unit for deflection is the meter (m), though mm and cm are standard for engineering practice.
Slope is a dimensionless angular quantity (measured in radians or degrees), whereas deflection is a linear quantity.
Permissible deflection limits are defined in building codes like IS 456:2000 to ensure serviceability.
Ensures structural serviceability and user comfort.
Prevents secondary damage to non-structural elements like partitions and glass.
Excessive deflection can lead to stress concentration in connections.
Large deflections may cause architectural issues such as cracks in plaster.
Structural design of beams, slabs, and cantilever members.
Serviceability limit state verification in high-rise building projects.
Option C (Degree) is incorrect because degrees describe slope (rotation), not linear deflection.
In structural analysis, deflection is often represented by symbols such as ╬┤ or ╬Ф.
D is correct тАФ Deflection is a measure of linear displacement, and both cm and mm are valid units for distance in structural engineering.
Always distinguish between slope (rotation in radians/degrees) and deflection (displacement in mm/cm). Slope is the first derivative of the deflection function (dy/dx).
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