ENGINEERING MECHANICS, EQUILIBRIUM, STATICS

1. DEVAPRAKASAM DEIVASAGAYAM
Professor of Mechanical Engineering
Room:11, LW, 2nd Floor
School of Mechanical and Building Sciences
Email: devaprakasam.d@vit.ac.in, dr.devaprakasam@gmail.com
MEE1002: Engineering Mechanics (2:1:0:0:3)
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933

3. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Newtonian Mechanics

4. • Scalar Quantity- Has magnitude and has no associated direction
• Examples: Volume, Time, Mass, Speed, Density, Temperature.
• Vector Quantity- Has Magnitude and Direction
• Examples: Force, Velocity, Moment, Acceleration
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Scalar and Vector

5. • Push or Pull on a body
• It is a vector
i
Y
X
Z
j
k
F = Fx i + Fy j ……(2D)
F = Fx i + Fy j + Fz k…..(3D)
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Force
Sign Convention (+ve)

6. • Express the 2D and 3D equilibrium equations
for particle resulting from the application of
Newton’s 1st Law
0
0
0






Y
X
F
F
F
3D
0
0
0
0








Z
Y
X
F
F
F
F
2D
0
0
0
|| 






F
F
F
2 Independent Eqns & 3 Independent Eqns &
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D and 3D Equilibrium

7. • Express a 2D force in terms of rectangular.
components.
• Express a 2D force in terms of parallel and
perpendicular components.
• Apply vector addition to find resultant of more
than one force.
X
F
i
Y
j
θ
F = Fx i + Fy j
Fx= F cosθ
Fy= F sinθ
Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force representation

8. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force representation

9. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

10. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

11. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

12. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

13. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

14. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
2D Force Example

15. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Vector Addition

16. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Vector addition Example

17. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Vector addition Example

18. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Vector addition Example

19. Devaprakasam D, Email: devaprakasam.d@vit.ac.in, Ph: +91 9786553933
Home Work