Total Horizontal Shear Calculator

Total Horizontal Shear Formula:

\[ V_h = \frac{0.85 \times f_c \times A_c}{2} \]

28-Day Compressive Strength of Concrete:

Actual Area of Effective Concrete Flange:

m²

Tolerance:

Total Horizontal Shear (N):

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: It's crucial for designing composite beams where concrete slabs and steel beams work together to resist loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_h = \frac{0.85 \times f_c \times A_c}{2} \]

Where:

\( V_h \) — Total Horizontal Shear (N)
\( f_c \) — 28-Day Compressive Strength of Concrete (Pa)
\( A_c \) — Actual Area of Effective Concrete Flange (m²)

Explanation: The formula calculates the shear capacity at the interface between concrete and steel in composite beams.

3. Importance of Horizontal Shear Calculation

Details: Proper calculation ensures the structural integrity of composite beams by verifying adequate shear transfer between concrete and steel components.

4. Using the Calculator

Tips: Enter the 28-day compressive strength of concrete, effective concrete flange area, and tolerance percentage (default ±5%). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the 0.85 factor in the formula?
A: This is a strength reduction factor accounting for variations in concrete strength and workmanship.

Q2: How is the effective concrete flange area determined?
A: It's the equivalent area of the flange section in terms of concrete, considering the composite action.

Q3: Why include a tolerance percentage?
A: The tolerance accounts for material variations and construction tolerances (±5% is typical).

Q4: What units should be used?
A: Use Pascals (Pa) for concrete strength and square meters (m²) for area. The result is in Newtons (N).

Q5: When would I adjust the tolerance?
A: For critical structures or when material properties are well-controlled, you might reduce the tolerance.