Linear Interpolation Calculator for civil engineers

Interactive Linear Interpolation Calculator

Interpolation Method: Linear Interpolation Bilinear Interpolation (2D) Table-based Interpolation Bearing Capacity Factors

Linear Interpolation: Estimate unknown values between two known points using the formula: y = y₁ + (x-x₁) × (y₂-y₁)/(x₂-x₁)

Chart updates automatically as you enter values

Linear Interpolation (Single Variable)

Point 1 (x₁, y₁):

Point 2 (x₂, y₂):

Find value at:
Find y for given x    Find x for given y

Live Results: Enter values above to see real-time calculations

Bilinear Interpolation (2D Grid)

Enter four corner points of a rectangular grid:

Corner (x₁,y₂):
Corner (x₂,y₂):
Corner (x₁,y₁):
Corner (x₂,y₁):

Interpolate at point:

Live Results: Values update as you type

Table-based Interpolation

Data Table (X, Y pairs):
10, 50 15, 75 20, 100 25, 125 30, 150

Find Y for X =

Live Results: Chart and values update automatically

Bearing Capacity Factors Interpolation

Friction Angle (φ, degrees):

Factor Type:
Nc (Cohesion factor) Nq (Surcharge factor) Nγ (Weight factor)

Live Results: Move the slider or type angle

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Engineering Applications & Formulas

Linear: y = y₁ + (x-x₁) × (y₂-y₁)/(x₂-x₁)
Bilinear: f(x,y) = weighted average of four corner values
Applications: Bearing capacity factors, soil parameters, design charts, material properties
Standards: IS 6403, IS 1893, various engineering design tables