A steel beam is 12m long when installed at 23degree celcius by how much does it lenght change when it changes temperature from -32degree celcius ti 55 degree celcius
To calculate the change in length of a steel beam due to temperature change, we need to use its coefficient of linear expansion.
The coefficient of linear expansion for steel is typically around 12 x 10^-6 per degree Celsius.
First, we will calculate the change in temperature:
Change in temperature = Final temperature - Initial temperature
Change in temperature = 55°C - (-32°C)
Change in temperature = 87°C
Next, we will calculate the change in length using the formula:
Change in length = Initial length * coefficient of linear expansion * change in temperature
Initial length = 12m
Coefficient of linear expansion = 12 x 10^-6 per °C
Change in temperature = 87°C
Change in length = 12m * 12 x 10^-6 per °C * 87°C
Calculating the change in length:
Change in length = 0.000012 * 12 * 87
Change in length ≈ 0.0126 meters or 1.26 centimeters
Therefore, the length of the steel beam will change by approximately 1.26 centimeters when the temperature changes from -32°C to 55°C.