Specified Minimum Yield Stress of Longitudinal Reinforcement given Total Horizontal Shear Calculator

Formula Used:

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

Specified Minimum Yield Stress (F_yr):

1. What is Specified Minimum Yield Stress of Longitudinal Reinforcement?

Definition: This is the minimum stress at which longitudinal reinforcement begins to deform plastically (permanently) under load.

Purpose: It helps structural engineers ensure reinforcement steel will perform as required in concrete structures.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( F_{yr} \) — Specified minimum yield stress (Pascals)
\( V_h \) — Total horizontal shear force (Newtons)
\( A_{sr} \) — Area of longitudinal reinforcement (square meters)

Explanation: The formula relates the shear force to the reinforcement area to determine the minimum stress required.

3. Importance of Yield Stress Calculation

Details: Proper calculation ensures structural integrity, prevents premature failure, and meets building code requirements.

4. Using the Calculator

Tips: Enter the total horizontal shear in Newtons, area of reinforcement in m², and tolerance percentage (default 5%). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical yield stress for reinforcement steel?
A: Common values range from 400-500 MPa (400,000,000-500,000,000 Pa) for most construction steel.

Q2: Why include a tolerance percentage?
A: Tolerance accounts for material variations and safety factors in real-world applications.

Q3: How do I determine total horizontal shear?
A: This is typically calculated from structural analysis of the beam or column under load.

Q4: What if my reinforcement area is in mm²?
A: Convert to m² by dividing by 1,000,000 (since 1 m² = 1,000,000 mm²).

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