Rhs Deflection Calculator

RHS Deflection Formula:

\[ \delta = \frac{5 w L^4}{384 E I} \]

Distributed Load (w):

N/m

Length (L):

Modulus of Elasticity (E):

Moment of Inertia (I):

m^4

Deflection (δ):

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1. What is the RHS Deflection Formula?

The RHS (Rectangular Hollow Section) deflection formula calculates the maximum deflection of a simply supported beam under uniformly distributed load. This formula is derived from beam theory and is widely used in structural engineering.

2. How Does the Calculator Work?

The calculator uses the RHS deflection formula:

\[ \delta = \frac{5 w L^4}{384 E I} \]

Where:

\( \delta \) — Maximum deflection (m)
\( w \) — Uniformly distributed load (N/m)
\( L \) — Length of the beam (m)
\( E \) — Modulus of elasticity (Pa)
\( I \) — Moment of inertia (m^4)

Explanation: The formula calculates the center deflection of a simply supported beam carrying a uniformly distributed load across its entire length.

3. Importance of Deflection Calculation

Details: Deflection calculation is crucial in structural design to ensure that beams and other structural elements do not deflect excessively under load, which could lead to serviceability issues or structural failure.

4. Using the Calculator

Tips: Enter the distributed load in N/m, length in meters, modulus of elasticity in Pascals, and moment of inertia in m^4. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What types of beams does this formula apply to?
A: This formula applies to simply supported beams with uniformly distributed load across the entire span.

Q2: What are typical deflection limits in structural design?
A: Deflection limits vary by application, but common limits are L/360 for live loads and L/240 for total loads in building design.

Q3: How does moment of inertia affect deflection?
A: Deflection is inversely proportional to moment of inertia. Beams with higher moment of inertia will deflect less under the same load.

Q4: What materials typically use this calculation?
A: This calculation applies to various materials including steel, aluminum, wood, and concrete, as long as the material behaves elastically.

Q5: Are there limitations to this formula?
A: This formula assumes linear elastic behavior, small deflections, and constant cross-section along the beam length.