50 Civil Engineering Formulas you must know

50 Civil Engineering Formulas You Must Know

50 Civil Engineering Formulas You Must Know

As a civil engineering student, preparing for exams requires you to apply concepts to a problem, and these formulas will guide you in solving those theoretical and practical problems.

Structural Engineering

1. Stress

    \[\sigma = \frac{F}{A}\]

2. Shear Stress in Beams

    \[\tau=\frac{VQ}{Ib}\]

3. Bending Stress

    \[\sigma=\frac{M_y}{I}\]

4. Moment of Inertia (Rectangular Section)

    \[I=\frac{bh^3}{12}\]

5. Hooke’s Law

    \[P_{abs}=P_{gauge}+P_{atm}\]

14. Viscosity

    \[\tau=\mu\frac{du}{dy}\]

15. Hydrostatic Pressure

    \[P=\rho gh\]

16. Specific Weight of Fluid

    \[\gamma= \rho g=\frac{W}{V}\]

17. Discharge

    \[Q=Av\]

18. Bernoulli’s Equation

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19. Darcy-Weisbach Equation

    \[h_f=f\cdot \frac{L}{D} \ cdot \frac{v^2}{2g}\]

20. Manning’s Equation

    \[V=\frac{1}{n} R^{2/3} S^{1/2}\]

Concrete and Steel Design

21. Ultimate Moment Capacity of a Singly Reinforced Beam

equation

22. Depth of Neutral Axis

    \[c=\frac{\alpha}{\beta_1}\]

23. Balanced Steel Ratio

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24. Moment of Inertia (Cracked Section)

equation

25. LRFD

equation

26. Net Area in Tension

equation

27. Block Shear Rupture

equation

28. Euler Buckling Stress

equation

29. Plastic Moment

equation

30. Slenderness Ratio

equation

Geotechnical Engineering

31. Void Ratio

equation

32. Porosity

equation

33. Mohr-Coulomb Failure

equation

34. Saturated Unit Weight

equation

35. Bearing Capacity

equation

36. Settlement

equation

37. Permeability (Falling Head Test)

equation

38. Time Factor for Consolidation

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39. Factor of Safety

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40. Earth Pressure (Rankine-Active)

equation

Surveying and Transportation Engineering

41. Slope Distance Correction

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42. Stopping Sight Distance

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43. Taping Correction Due to Sag

equation

44. Taping Correction due to Temp

equation

45. Area by Trapezoidal Rule

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46. Apex Distance curve geometry

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47. Time Headway

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48. Time Mean Speed

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49. Design Highway Volume

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50. Traffic Flow

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