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Beam Deflection.

Calculate instantaneous and long-term deflection of RCC and steel beams under various loading conditions (UDL, Point, Cantilever) according to IS 456-2000.

Parameters

Awaiting Load Parameters

Configure beam geometry and loads to start analysis

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What is Beam Deflection Calculator?

Calculate instantaneous and long-term deflection of RCC and steel beams under various loading conditions (UDL, Point, Cantilever) according to IS 456-2000.

What is Beam Deflection?

Deflection is the degree to which a structural element is displaced under a load. In structural engineering, it is a Serviceability Limit State (SLS)check to ensure that the building remains functional and aesthetically pleasing.

Excessive deflection can cause cracking in partitions, damage to finishes, and psychological discomfort for occupants. NiyamX utilizes the Euler-Bernoulli Beam Theorycoupled with IS 456:2000 Cl. 23.2 requirements.

Technical Formulas

IS 456

Simply Supported (UDL)

Maximum deflection at the center of the span.

5 · w · L⁴
384 · E · I
wUniformly Distributed Load
LEffective Span
EModulus of Elasticity
IMoment of Inertia
IS 800/456

Cantilever Beam (UDL)

Maximum deflection at the free end.

w · L⁴
8 · E · I
wUniformly Distributed Load
LCantilever Length

Permissible Limits (IS 456:2000)

Cl. 23.2 Control of Deflection

  • 1
    Final Deflection

    Span / 250

    Should not normally exceed span/250 for all loads including temperature/shrinkage.

  • 2
    After Partitioning

    Span / 350 or 20mm

    Deflection occurring after the erection of partitions or application of finishes.

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How to Check Beam Deflection

A professional checklist for verifying structural serviceability as per IS 456:2000.

1

Identify Loading Pattern

Determine if the beam is simply supported, fixed, or cantilevered. Sum up dead, live, and super-imposed loads.
2

Calculate Reinforcement Ratio

Input the percentage of tension reinforcement (Pt). Pt significantly influences the calculation of effective moment of inertia.
3

Set Material Grades

Select Concrete grade (M20, M25, etc.) and Steel grade (Fe415, Fe500) to determine elastic moduli.
4

Evaluate Short-term vs. Long-term

Check instantaneous deflection first, then apply creep coefficients for long-term values over 5+ years.

Technical FAQ & Regulatory Compliance

1
How does NiyamX handle cracked section properties?

As per IS 456, we calculate the effective moment of inertia (Ie) which accounts for both the gross (untacked) and cracked sections (Icr), ensuring a realistic estimation of instantaneous deflection.

2
What value of E (Modulus of Elasticity) is used for Concrete?

For short-term deflection, Ec = 5000 √fck is used. For long-term deflection, the creep coefficient (θ) is applied: Ecoeff = Ec / (1 + θ).

3
Is shear deflection included?

Standard structural calculators focus on flexural deflection. For very deep beams (Span/Depth < 2), shear deflection becomes significant and should be checked separately.
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NiyamX provides informational estimates only. All compliance verification results must be verified by a licensed professional before use. NiyamX is not liable for decisions based on this output.
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