Internal Width Of Hollow Rectangular Section Given Section Modulus About X-X Axis Calculator

Formula Used:

\[ B_{inner} = \frac{(B_{outer} \times L_{outer}^3) - (6 \times L_{outer} \times S)}{L_{inner}^3} \]

Outer Breadth of Hollow Rectangular Section (Bouter):

Outer Length of Hollow Rectangle (Louter):

Section Modulus (S):

m³

Inner Length of Hollow Rectangle (Linner):

Inner Breadth of Hollow Rectangular Section (Binner):

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1. What is Internal Width of Hollow Rectangular Section?

The Internal Width of Hollow Rectangular Section refers to the shorter dimension of the inner rectangle in a hollow rectangular cross-section. It is a critical parameter in structural engineering for calculating section properties and stress distribution.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B_{inner} = \frac{(B_{outer} \times L_{outer}^3) - (6 \times L_{outer} \times S)}{L_{inner}^3} \]

Where:

\( B_{inner} \) — Inner breadth of hollow rectangular section (m)
\( B_{outer} \) — Outer breadth of hollow rectangular section (m)
\( L_{outer} \) — Outer length of hollow rectangle (m)
\( S \) — Section modulus about x-x axis (m³)
\( L_{inner} \) — Inner length of hollow rectangle (m)

Explanation: This formula calculates the internal width based on the known outer dimensions and section modulus, which is essential for structural analysis and design.

3. Importance of Section Modulus Calculation

Details: Section modulus is a fundamental property in beam design that indicates a section's resistance to bending. Accurate calculation ensures structural integrity and safety in engineering applications.

4. Using the Calculator

Tips: Enter all dimensions in meters and section modulus in cubic meters. Ensure all values are positive and physically meaningful for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of section modulus in structural design?
A: Section modulus determines a beam's ability to resist bending stresses. Higher section modulus indicates greater bending resistance.

Q2: How does hollow rectangular section differ from solid section?
A: Hollow sections provide better strength-to-weight ratio, making them more efficient for many structural applications while reducing material usage.

Q3: What are typical applications of hollow rectangular sections?
A: Commonly used in construction, bridges, machinery frames, and any application where weight reduction with maintained strength is desired.

Q4: Are there limitations to this calculation method?
A: This formula assumes uniform material properties and perfect geometry. Real-world applications may require additional safety factors.

Q5: How accurate is this calculation for engineering purposes?
A: When used with precise input values, this calculation provides accurate results suitable for preliminary design and analysis purposes.