## 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 in^{4}.**Section Modulus (S):**This is the section modulus of the slab in in^{3}.**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**= t^{3}/12**I**= 6^{3}/12**I**= 18 in^{4}

#### Calculate the Section Modulus (S):

**S**= 𝑡^{2}/6**S**= 6^{2}/6**S**= 6 in^{3}

#### 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 ) / L^{2}**P**= ( 8 x 13714.29 ) / 120^{2}**P**= 7.62 lb/in^{2}

#### Convert to pounds per square foot (psf):

**P**= 7.62 lb/in^{2 }× 144**P**= 1097.28 psf