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Yield Strength of Steel given Total Horizontal Shear to be Resisted by Shear Connectors Calculator

Yield Stress of Steel Formula:

\[ F_y = \frac{2 \times V_h}{A_s} \]

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1. What is Yield Strength of Steel given Total Horizontal Shear?

Definition: This calculator determines the yield strength of steel based on the total horizontal shear force and the cross-sectional area of the steel beam.

Purpose: It helps structural engineers verify that the steel in a composite beam can resist the required horizontal shear forces through shear connectors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_y = \frac{2 \times V_h}{A_s} \]

Where:

  • \( F_y \) — Yield stress of steel (Pascals)
  • \( V_h \) — Total horizontal shear force (Newtons)
  • \( A_s \) — Area of steel beam (square meters)

Explanation: The formula calculates the minimum yield strength required for the steel beam to resist the specified horizontal shear force.

3. Importance of Yield Strength Calculation

Details: Proper calculation ensures structural integrity, prevents shear connector failure, and verifies that the steel can transfer shear forces between concrete and steel components.

4. Using the Calculator

Tips: Enter the total horizontal shear force in Newtons, the cross-sectional area of the steel beam in square meters, and the tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical yield strength of structural steel?
A: Common grades range from 250 MPa to 690 MPa, with A36 steel having a yield strength of about 250 MPa.

Q2: Why is the tolerance factor important?
A: It accounts for material variability and provides a safety margin in the calculation.

Q3: How is total horizontal shear force determined?
A: It's calculated from the maximum positive moment or point of contra flexure in continuous beams.

Q4: What if my calculated yield strength exceeds available steel grades?
A: You may need to increase the steel area, use higher grade steel, or reconsider the design.

Q5: Does this consider safety factors?
A: No, additional safety factors should be applied per relevant design codes.

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