Internal Length of Hollow Rectangular Section Using Section Modulus About Y-Y Axis Calculator

Formula Used:

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

Outer Breadth of Hollow Rectangular Section (B_outer):

Outer Length of Hollow Rectangle (L_outer):

Section Modulus (S):

m³

Inner Breadth of Hollow Rectangular Section (B_inner):

Inner Length of Hollow Rectangle (L_inner):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Internal Length of Hollow Rectangular Section?

The Internal Length of Hollow Rectangular Section is the shorter length of the inner rectangle in a hollow rectangular cross-section. It is a critical parameter in structural engineering for calculating section properties and designing beams or flexural members.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: This formula calculates the inner length based on the outer dimensions and section modulus, which is essential for determining the geometric properties of hollow rectangular sections.

3. Importance of Section Modulus Calculation

Details: Accurate calculation of section modulus is crucial for designing structural members to resist bending stresses. It helps in determining the beam's capacity to withstand applied loads without excessive deformation.

4. Using the Calculator

Tips: Enter all dimensions in meters (m) and section modulus in cubic meters (m³). Ensure all values are positive and non-zero for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is section modulus?
A: Section modulus is a geometric property that measures a beam's resistance to bending. It is defined as the ratio of the moment of inertia to the distance from the neutral axis to the outermost fiber.

Q2: Why use hollow rectangular sections?
A: Hollow rectangular sections provide high strength-to-weight ratio, making them efficient for structural applications where weight reduction is important without compromising strength.

Q3: What are typical applications?
A: Commonly used in construction, bridge design, machine frames, and any application requiring lightweight yet strong structural members.

Q4: Are there limitations to this formula?
A: This formula assumes uniform material properties and perfect geometry. It may not account for manufacturing tolerances or material imperfections.

Q5: How accurate is this calculation?
A: The calculation provides theoretical values based on perfect geometry. Actual performance may vary based on material properties, loading conditions, and manufacturing quality.