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Total Horizontal Shear between Interior Support and Point of Contraflexure Calculator

Total Horizontal Shear Formula:

\[ V_h = \frac{A_{sr} \times F_{yr}}{2} \]

Pa

1. What is Total Horizontal Shear between Interior Support and Point of Contraflexure?

Definition: This 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 helps structural engineers determine the shear forces in beams and ensure proper reinforcement design.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_h = \frac{A_{sr} \times F_{yr}}{2} \]

Where:

  • \( V_h \) — Total horizontal shear (N)
  • \( A_{sr} \) — Area of longitudinal reinforcement (m²)
  • \( F_{yr} \) — Specified minimum yield stress (Pa)

Explanation: The product of reinforcement area and yield stress is divided by 2 to calculate the horizontal shear.

3. Importance of Horizontal Shear Calculation

Details: Proper shear calculation ensures structural integrity and prevents failure in beam-column joints and continuous beams.

4. Using the Calculator

Tips: Enter the area of longitudinal reinforcement (m²) and specified minimum yield stress (Pa). All values must be > 0. The ±5% indicates acceptable tolerance range.

5. Frequently Asked Questions (FAQ)

Q1: What is the point of contraflexure?
A: It's the point in a beam where the bending moment changes sign from positive to negative or vice versa.

Q2: Why is there a ±5% tolerance?
A: This accounts for material variability and measurement uncertainties in real-world applications.

Q3: How do I determine the area of longitudinal reinforcement?
A: This is calculated based on the number and size of reinforcing bars in the cross-section.

Q4: What's a typical yield stress for reinforcement?
A: Common values range from 400-500 MPa for standard reinforcement steel.

Q5: Does this calculation include safety factors?
A: No, appropriate safety factors should be applied separately according to design codes.

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