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:
- Concrete Strength (f’c):
- Enter the compressive strength of the concrete in pounds per square inch (psi).
- Example: 4000 psi
- Slab Thickness (t):
- Enter the thickness of the concrete slab in inches.
- Example: 6 inches
- Span Length (L):
- Enter the length of the span in feet.
- Example: 10 feet
- 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/in2 × 144
- P = 1097.28 psf