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

Formula Used:

\[ \delta = \frac{0.00651 \times q \times l^4}{E \times I} \]

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):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Deflection Formula?

The deflection formula calculates the center deflection of a simply supported beam carrying a uniformly varying load with maximum intensity at the right support. This formula provides an accurate assessment of beam deformation under specific loading conditions.

2. How Does the Calculator Work?

The calculator uses the deflection formula:

\[ \delta = \frac{0.00651 \times q \times l^4}{E \times I} \]

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 accounts for the beam's material properties, geometry, and loading conditions to determine the maximum deflection at the center of the beam.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation is crucial for structural design, ensuring that beams meet serviceability requirements and do not experience excessive deformation that could compromise structural integrity or functionality.

4. Using the Calculator

Tips: Enter uniformly varying load in N/m, length of beam in meters, elasticity modulus in Pa, 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, with maximum intensity at one support in this specific case.

Q2: Why is deflection important in beam design?
A: Deflection is important to ensure structural serviceability, prevent damage to non-structural elements, and maintain user comfort by limiting excessive movement.

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

Q4: Are there limitations to this formula?
A: This formula is specific to simply supported beams with uniformly varying load with maximum intensity at the right support. It may not apply to other support conditions or loading patterns.

Q5: How can deflection be reduced in beam design?
A: Deflection can be reduced by increasing the moment of inertia (using deeper sections), using materials with higher elastic modulus, or adding additional supports.