Ultimate Tensile Strength of Section in Presence of Non-Prestressing Reinforcement Calculator

Formula Used:

\[ P_{uR} = 0.87 \times f_{pk} \times A_s + (0.87 \times f_y \times A_s) \]

Tensile Strength of Prestressed Steel (f_pk):

Area of Prestressing Steel (A_s):

m²

Yield Strength of Steel (f_y):

Area of Reinforcement (A_s):

m²

Tolerance:

Ultimate Tensile Strength (P_uR): N

1. What is Ultimate Tensile Strength of Section?

Definition: This calculator determines the ultimate tensile capacity of a section that contains both prestressed and non-prestressed reinforcement.

Purpose: It helps structural engineers calculate the maximum tensile force a section can resist before failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{uR} = 0.87 \times f_{pk} \times A_s + (0.87 \times f_y \times A_s) \]

Where:

\( P_{uR} \) — Ultimate tensile strength (N)
\( f_{pk} \) — Tensile strength of prestressed steel (Pa)
\( A_s \) — Area of prestressing steel (m²)
\( f_y \) — Yield strength of steel (Pa)
\( A_s \) — Area of non-prestressed reinforcement (m²)

Explanation: The formula combines the contributions from both prestressed and non-prestressed reinforcement, with a 0.87 factor accounting for material safety.

3. Importance of Ultimate Tensile Strength Calculation

Details: Proper calculation ensures structural safety, prevents overdesign, and helps in optimizing material usage.

4. Using the Calculator

Tips: Enter material properties and areas. The tolerance field (default ±5%) helps account for material variations and safety factors.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 0.87 factor?
A: The 0.87 factor accounts for material safety factors and partial coefficients in design codes.

Q2: What's a typical value for f_pk?
A: Prestressing steel typically has f_pk values between 1,860-2,000 MPa (1.86-2.0 × 10⁹ Pa).

Q3: When would I adjust the tolerance?
A: Adjust tolerance based on material quality control, with higher tolerances for less controlled environments.

Q4: How do I determine the reinforcement areas?
A: Calculate based on the number and size of tendons/rebar in your section.

Q5: Does this include safety factors?
A: The 0.87 factor includes some safety, but additional factors may be needed per design codes.