Enter the unreduced design live load per square foot, the live load element factor, and the tributary area into the calculator to determine the reduced live load.

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## Live Load Formula

The following formula is used to calculate the reduced design live load per ft^2 of the area supported by a member.

L = L_{o} * (0.25 + 15 / SQRT (K_{LL} * A_{t} ) )

- Where L is the reduced design live load per ft^2
- L0 is the unreduced design live load per ft^2
- KLL is the live load element factor
- At is the tributary area (ft^2)

This formula can further be adjusted for using m^2 for the area.

L = L_{o} * (0.25 + 4.57 / SQRT (K_{LL} * A_{t} ) )

## Live Load Definition

A live load is defined as the load or force per unit area that a structure is subjected to in addition to its own weight.

## Example Problem

**How to calculate live load? **

First, determine the unreduced live load the structural member is designed for. For this example, the unreduced design live load is 40lb/ft^2.

Next, determine the live load element factor. For this example, the element is an interior column that has a KLL of 4.

Next, determine the tributary area. For this problem, the area is found to be 400 square feet (ft^).

Finally, using the formula above, calculate the reduced live load:

L = L_{o} * (0.25 + 15 / SQRT (K_{LL} * A_{t} ) )

= 40 * (.025 + (15/SQRT(4*400)))

= 16 lb/ft^2