External Width of Hollow Rectangular Section given Section Modulus about x-x axis Calculator

Formula Used:

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

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):

Outer Breadth of Hollow Rectangular Section (B_outer):

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1. What is Outer Breadth of Hollow Rectangular Section?

The Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section. It is an important geometric parameter used in structural engineering calculations.

2. How Does the Calculator Work?

The calculator uses the following formula:

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

Where:

\( B_{outer} \) — 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)
\( L_{inner} \) — Inner Length of Hollow Rectangle (m)

Explanation: This formula calculates the outer breadth of a hollow rectangular section based on the section modulus and other geometric parameters.

3. Importance of Section Modulus Calculation

Details: Section modulus is a crucial geometric property used in the design of beams and flexural members. It helps determine the bending stress capacity of structural elements.

4. Using the Calculator

Tips: Enter all values in meters and cubic meters. Ensure all values are positive numbers. Outer length must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow rectangular section?
A: A hollow rectangular section is a structural element with a rectangular outer shape and a rectangular void inside, commonly used in construction for its strength-to-weight ratio.

Q2: Why is section modulus important?
A: Section modulus determines a beam's resistance to bending. Higher section modulus means greater bending strength for a given material.

Q3: What are typical applications of hollow rectangular sections?
A: They are widely used in building frames, bridges, machine frames, and other structural applications where both strength and weight efficiency are important.

Q4: How does inner dimension affect the outer breadth calculation?
A: The inner dimensions directly influence the required outer breadth to achieve a specific section modulus, as the formula accounts for the material distribution.

Q5: Can this calculator be used for solid sections?
A: For solid sections, set inner breadth and length to zero, but note that the formula is specifically derived for hollow rectangular sections.