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Total Horizontal Shear to be Resisted by Shear Connectors Calculator

Total Horizontal Shear Formula:

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

Pa

1. What is Total Horizontal Shear?

Definition: Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam.

Purpose: This calculation helps engineers determine the required capacity of shear connectors in composite steel-concrete structures.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

  • \( V_h \) — Total Horizontal Shear (N)
  • \( A_s \) — Area of Steel Beam (m²)
  • \( F_y \) — Yield Stress of Steel (Pa)

Explanation: The formula calculates the theoretical horizontal shear that needs to be resisted by shear connectors in composite beams.

3. Importance of Horizontal Shear Calculation

Details: Proper calculation ensures structural integrity, prevents slippage between steel and concrete components, and maintains composite action in beams.

4. Using the Calculator

Tips: Enter the cross-sectional area of the steel beam, yield stress of steel (default 250 MPa), and optional safety factor (default 1.0). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical yield stress values for steel?
A: Common structural steel has yield stress of 250 MPa (36,000 psi), but high-strength steel can range up to 690 MPa (100,000 psi).

Q2: Why divide by 2 in the formula?
A: The division by 2 accounts for the distribution of shear forces along the beam length between maximum moment points.

Q3: When should I use the safety factor?
A: Apply a safety factor (typically 1.1-1.5) when additional conservatism is needed for critical applications or uncertain loading conditions.

Q4: How does this relate to shear connector spacing?
A: The total shear is divided by the capacity of individual connectors to determine the required number and spacing.

Q5: Does this consider dynamic or fatigue loading?
A: No, for dynamic loading conditions, additional analysis is required beyond this basic calculation.

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