how do we calculate lateral load of a motorized ladder which carries 250 kg load to a height of 13 mtr at an angle of 70 degree
To calculate the lateral load of a motorized ladder, you will need to consider the weight of the load being carried, the height it is being lifted to, and the angle at which the ladder is inclined.
Here are the steps to calculate the lateral load:
1. Determine the vertical component of the load (Weight lifted):
The weight being lifted is given as 250 kg. The vertical component of the load can be calculated using the formula:
Vertical Component = Weight × cos(angle)
= 250 kg × cos(70°)
2. Calculate the vertical component of the load:
Using a scientific calculator or a trigonometric table, calculate the value of cos(70°). Let's assume it is 0.3420.
Vertical Component = 250 kg × 0.3420
3. Calculate the vertical height:
The height is given as 13 meters. This is the vertical height the load is being lifted to.
4. Calculate the lateral load (horizontal component):
The lateral load is equal to the vertical component of the load multiplied by the height.
Lateral Load = Vertical Component × Height
5. Substitute the values into the equation:
Lateral Load = (250 kg × 0.3420) × 13 meters
6. Calculate the result:
Using a calculator, multiply the values to find the lateral load.
The final result will give you the lateral load of the motorized ladder when carrying a 250 kg load to a height of 13 meters at an angle of 70 degrees.