Ask Question
4 October, 01:13

A concrete highway is built of slabs 12 m long (20°C). How wide should the expansion cracks between the slabs be (at 20°C) to prevent buckling if the range of temperature is - 30° to + 50°C? (12 x 10⁻⁶ °C⁻¹ for concrete)

+5
Answers (1)
  1. 4 October, 01:14
    0
    0.001152m

    Explanation:

    Linear expansivity of a material is the change in length of the material per unit length per degree rise in temperature. Mathematically,

    ¢ = ∆L/L1∆°C

    ¢ is the linear expansivity of the material = 12 x 10⁻⁶ °C⁻¹

    Where ∆L is the change in length = L2-L1

    L2 is the final length = ?

    L1 is the initial length = 12m

    ∆°C is the change in temperature = °C2 - °C1 = 50 - (-30) = 80°C

    Substituting this values inside the formula to get the final length L2 after expansion, we have;

    12 x 10⁻⁶ °C⁻¹ = L2-12/12*80

    12 x 10⁻⁶ °C⁻¹ = L2-12/960

    L2-12 = 960*12 x 10⁻⁶ °C⁻¹

    L2-12 = 0.001152

    L2 = 12+0.001152

    L2 = 12.001152m

    Expansion will be the change in length L2-L1 = 12.001152-12

    = 0.001152m

    The expansion cracks between the slabs should be 0.001152m wide to prevent buckling
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A concrete highway is built of slabs 12 m long (20°C). How wide should the expansion cracks between the slabs be (at 20°C) to prevent ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers