Maximum Deflection On Simply Supported Beam Carrying Uvl Max Intensity At Right Support Calculator

Formula Used:

\[ \delta = \frac{0.00652 \times q \times l^4}{E \times I} \]

Uniformly Varying Load (q):

N/m

Length of Beam (l):

Elasticity Modulus of Concrete (E):

Area Moment of Inertia (I):

m⁴

Deflection of Beam (δ):

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1. What is Maximum Deflection on Simply Supported Beam?

Maximum deflection on a simply supported beam carrying uniformly varying load with maximum intensity at the right support refers to the maximum displacement of the beam under the specified loading condition. This is a critical parameter in structural engineering for ensuring structural integrity and serviceability.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \delta = \frac{0.00652 \times q \times l^4}{E \times I} \]

Where:

\( \delta \) — Deflection of beam (m)
\( q \) — Uniformly varying load (N/m)
\( l \) — Length of beam (m)
\( E \) — Elasticity modulus of concrete (Pa)
\( I \) — Area moment of inertia (m⁴)

Explanation: The formula calculates the maximum deflection of a simply supported beam subjected to a uniformly varying load with maximum intensity at the right support, considering the material properties and geometric characteristics of the beam.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation is crucial for ensuring structural safety, preventing excessive deformation that could affect functionality, and meeting design code requirements for various types of structures.

4. Using the Calculator

Tips: Enter uniformly varying load in N/m, length of beam in meters, elasticity modulus in Pascals, and area moment of inertia in m⁴. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is a uniformly varying load?
A: A uniformly varying load is a load whose magnitude varies uniformly along the length of the structure, typically increasing or decreasing linearly from one end to the other.

Q2: Why is deflection calculation important?
A: Deflection calculation helps ensure that structures don't deform excessively under load, which could lead to structural failure or affect the functionality of the structure.

Q3: What factors affect beam deflection?
A: Beam deflection is affected by the load magnitude and distribution, beam length, material properties (elastic modulus), and cross-sectional properties (moment of inertia).

Q4: What are acceptable deflection limits?
A: Acceptable deflection limits vary by application and are typically specified in building codes. Generally, deflections are limited to span/250 to span/500 depending on the structure type.

Q5: Can this calculator be used for other beam types?
A: No, this specific calculator is designed for simply supported beams with uniformly varying load with maximum intensity at the right support. Different support conditions and loading patterns require different formulas.