Calculate the increase in length of a 250.00 meter Long concrete bridge if its temperature increases from 10.0°C to 39.0°C? The coefficient of expansion of concrete is 9.8 X 10^-6 (1/°C)
deltaL=250.00*9.8E-6*29 meters
To calculate the increase in length of the concrete bridge due to the temperature change, you can use the formula:
ΔL = L0 * α * ΔT
Where:
ΔL = Change in length
L0 = Initial length
α = Coefficient of expansion
ΔT = Change in temperature
Given:
L0 = 250.00 meters (Initial length)
α = 9.8 * 10^-6 (1/°C) (Coefficient of expansion)
ΔT = (39.0°C - 10.0°C) = 29.0°C (Change in temperature)
Now you can substitute the given values into the formula and calculate the increase in length:
ΔL = 250.00 * 9.8 * 10^-6 * 29.0
ΔL = 0.07126 meters
Therefore, the increase in length of the concrete bridge would be approximately 0.07126 meters.