Concrete Floor Load Capacity Calculator

Concrete Floor Load Capacity Calculator

How to Use the Concrete Floor Load Capacity Calculator

Here’s a detailed explanation on how to use the Concrete Floor Load Capacity Calculator:

Input the Dimensions and Material Properties:

  1. Concrete Strength (f’c):
    • Enter the compressive strength of the concrete in pounds per square inch (psi).
    • Example: 4000 psi
  2. Slab Thickness (t):
    • Enter the thickness of the concrete slab in inches.
    • Example: 6 inches
  3. Span Length (L):
    • Enter the length of the span in feet.
    • Example: 10 feet
  4. Safety Factor:
    • Enter the safety factor. The default value is 1.75.
    • Example: 1.75

Click the Calculate Button:

  • After entering all the required values, click the “Calculate Load Capacity” button to perform the calculations.

View the Results:

The results will be displayed below the button, showing the following:
  • Moment of Inertia (I): This is the moment of inertia of the slab in in4.
  • Section Modulus (S): This is the section modulus of the slab in in3.
  • Moment Capacity (M): This is the moment capacity in in-lb.
  • Load Capacity (P): This is the load-carrying capacity of the slab in pounds per square foot (psf).

Example Calculation

Assume we have a concrete floor slab with the following properties:
  • Concrete Strength (f’c): 4000 psi
  • Slab Thickness (t): 6 inches
  • Span Length (L): 10 feet
  • Safety Factor: 1.75

Step-by-Step Calculation:

Convert span length to inches:

  • L = 10 feet × 12 = 120 inches

Calculate the Moment of Inertia (I):

  • I = t3/12
  • I = 63/12
  • I = 18 in4

Calculate the Section Modulus (S):

  • S = 𝑡2/6
  • S = 62/6
  • S = 6 in3

Calculate the Moment Capacity (M):

  • M = (𝑓′𝑐 x S )/ Safety Factor 
  • M = (4000 × 6) / 1.75
  • M = 13714.29 in-lb

Calculate the Load Capacity (P):

  • P = ( 8 x M ) /  L2
  • P = ( 8 x 13714.29 ) / 1202
  • P = 7.62 lb/in2

Convert to pounds per square foot (psf):

  • P = 7.62  lb/in× 144
  • P = 1097.28 psf

Result:

The load capacity of the slab is approximately 1097.28 psf.