Formulas:

1. Determinacy of beams:

r = 3n

2. Determinacy of Truss:

b + r =2j

3. Shear and Moment Diagrams for a Beam:

4. Strain Energy-Axial Force:

5. Strain Energy-Bending:

6. Strain Energy-Torsion:

7. Strain Energy-Shear:

8. Method of Virtual Work: Truss:

9. Temperature:

10. Fabrication Errors and Camber:

11. Method of Virtual Work: Beams and Frames:

12. Slope for beam and frames:

13. Virtual Strain Energy Caused by Axial Load, Shear, Torsion, and Temperature:

Axial Load

Bending

Torsion:

Shear:

Temperature:

14. Castiglianos Theorem: Truss:

15. Castiglianos Theorem: Beams and Frames:

16. Slope:

17. Maximum Influence at a Point Due to a Series of Concentrated Loads:

(V = Ps(x2-x1)

(V = P (y2-y1)(M = Ps(x2-x1)

18. Parabolic Cable: Subjected to Linear Uniform distributed Load:

19. Arch Formulas:

EMBED Equation.3

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