Shear Force In Web Calculator

Shear Force Formula:

\[ F_s = \frac{I \cdot b \cdot \tau_{beam}}{\frac{B \cdot (D^2 - d^2)}{8} + \frac{b}{2} \cdot \left(\frac{d^2}{4} - y^2\right)} \]

Moment of Inertia of Area of Section (I):

m⁴

Thickness of Beam Web (b):

Shear Stress in Beam (τ):

Width of Beam Section (B):

Outer Depth of I Section (D):

Inner Depth of I Section (d):

Distance from Neutral Axis (y):

Shear Force on Beam (Fs):

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1. What is Shear Force in Web?

Shear Force in Web refers to the internal force that acts parallel to the cross-section of a beam's web, resisting the tendency of the beam to slide along its length. It is a critical parameter in structural engineering for designing beams and ensuring their stability.

2. How Does the Calculator Work?

The calculator uses the shear force formula:

\[ F_s = \frac{I \cdot b \cdot \tau_{beam}}{\frac{B \cdot (D^2 - d^2)}{8} + \frac{b}{2} \cdot \left(\frac{d^2}{4} - y^2\right)} \]

Where:

\( F_s \) — Shear Force on Beam (N)
\( I \) — Moment of Inertia of Area of Section (m⁴)
\( b \) — Thickness of Beam Web (m)
\( \tau_{beam} \) — Shear Stress in Beam (Pa)
\( B \) — Width of Beam Section (m)
\( D \) — Outer Depth of I Section (m)
\( d \) — Inner Depth of I Section (m)
\( y \) — Distance from Neutral Axis (m)

Explanation: This formula calculates the shear force in the web of an I-beam based on its geometric properties and the applied shear stress.

3. Importance of Shear Force Calculation

Details: Accurate shear force calculation is essential for structural design, ensuring that beams can withstand applied loads without failure, and for determining appropriate dimensions and materials.

4. Using the Calculator

Tips: Enter all required parameters in consistent units (meters for lengths, m⁴ for moment of inertia, Pa for shear stress). Ensure all values are positive and valid to avoid calculation errors.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the neutral axis?
A: The neutral axis is the line in a beam where there is no tension or compression during bending. Distance from this axis affects stress distribution.

Q2: How does web thickness affect shear force?
A: Thicker webs generally resist higher shear forces, as they provide more material to distribute the stress.

Q3: What are typical units for these parameters?
A: Lengths in meters, moment of inertia in m⁴, stress in Pascals (Pa), and force in Newtons (N).

Q4: When is this formula most applicable?
A: This formula is specifically designed for I-section beams where the web carries most of the shear load.

Q5: What causes division by zero in this calculation?
A: Division by zero occurs when the denominator equals zero, which may happen with specific geometric configurations that make the expression invalid.