Slip of Anchorage Calculator

Slip of Anchorage Formula:

\[ \Delta = \frac{F \times PL_{Cable}}{A_{Tendon} \times E_s} \]

Prestressing Force:

Cable Length:

Tendon Area:

mm²

Modulus of Elasticity:

MPa

Tolerance:

Slip of Anchorage:

1. What is Slip of Anchorage?

Definition: Slip of Anchorage is the distance by which the anchorage gets displaced when the force is transmitted from anchorage to tendon in prestressed concrete.

Purpose: This calculation helps engineers ensure proper prestress force transfer and account for potential losses in prestressed concrete structures.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \Delta = \frac{F \times PL_{Cable}}{A_{Tendon} \times E_s} \]

Where:

\( \Delta \) — Slip of Anchorage (mm)
\( F \) — Prestressing Force (kN)
\( PL_{Cable} \) — Cable Length (mm)
\( A_{Tendon} \) — Tendon Area (mm²)
\( E_s \) — Modulus of Elasticity of Steel (MPa)

Explanation: The formula calculates elastic deformation of the tendon under prestressing force, considering the material properties and dimensions.

3. Importance of Slip Calculation

Details: Proper slip estimation ensures accurate prestress force application, prevents overstressing, and helps in designing appropriate anchorage systems.

4. Using the Calculator

Tips: Enter the prestressing force in kN, cable length in mm, tendon area in mm², modulus of elasticity in MPa, and tolerance percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance for slip of anchorage?
A: Common tolerance is ±5%, but this may vary based on project specifications and anchorage type.

Q2: How does tendon area affect the slip?
A: Larger tendon area reduces slip as the force is distributed over more material.

Q3: What modulus of elasticity should I use for prestressing steel?
A: Typically 195-210 GPa (195000-210000 MPa) for prestressing strands.

Q4: Why include tolerance in the calculation?
A: Tolerance accounts for variations in material properties, installation, and measurement accuracy.

Q5: How can I reduce slip of anchorage?
A: Use higher modulus materials, increase tendon area, or reduce prestressing force/cable length.