Mechanics I

In this section you can find all information connected with our course Mechanics I. Below I have listed topics that we supposed to do during our meetings (week by week). We have already done first two topics during our meetings.

For each of these topics I have provided a reference in order to simplyfy porcess of searchnig those in many electronic sources. This reference is optional and if you will find similar topics in other references feel free to use them. However, before you do this pleas send me an information about your reference. I will check if it is corresponding with the topics that I gave.

TOPICS

  1. Vector Operations – Chapter 2 pp. 18-83 R. C. HIBBELER „Statics and Dynamics”
  2. Convergent forces systems. Coplanar forces systems. Theorem of three forces – Chapter 3 pp. 89-115 R. C. HIBBELER „Statics and Dynamics”
  3. Divergent system of forces. Force system resultants. Moment (torque) of a Force. Moment of a Couple – Chapter 4 pp. 117-182 R. C. HIBBELER „Statics and Dynamics”
  4. Trusses. Method of joints. Method of sections (Ritter’s method) – Chapter 6 pp. 263-289 R. C. HIBBELER „Statics and Dynamics”
  5. Internal forces (Beams) – Chapter 7.2 and 7.3 pp. 345-364 R. C. HIBBELER „Statics and Dynamics”
  6. Internal forces (Beams with joints) – Chapter 7.2 and 7.3 pp. 345-364 R. C. HIBBELER „Statics and Dynamics”
  7. Internal forces (Frames) – Chapter 7.2 and 7.3 pp. 345-364 R. C. HIBBELER „Statics and Dynamics”
  8. Center of gravity, center of mass – Chapter 9 pp. 447-469 R. C. HIBBELER „Statics and Dynamics”
  9. Moments of inertia – Chapter 10.1 pp. 511-512, 10.2 pp. 512-513 R. C. HIBBELER „Statics and Dynamics”
  10. Parallel-Axis theorem (Parallel transformation), Moments of inertia about inclined axis (rotational transformation) – 10.5 pp. 530-533, 10.6 pp. 534-536, 10.8 pp. 545-550, R. C. HIBBELER „Statics and Dynamics”
  11. Kinematics of a particle – 12.1 – 12.6 pp. 3-48 vol 2, 12.4 R. C. HIBBELER „Statics and Dynamics”
  12. Velocities and accelerations in linear and rotary movement, 12.7 pp. 53-79 vol 2 R. C. HIBBELER „Statics and Dynamics”
  13. Velociteis in planar movement

I will be successively updating information at this site. First of all I will focus on the practical part of the topics that I gave you above. I will introduce problems, that you must be able to solve after this course, but for each of problems I will prepare also example with solution.

2. Convergent forces systems. Coplanar forces systems.

example1

example2

problems

Theorem of three forces

example

problems

3a. Parallel system of forces. Moment of a Couple.

example

3b. Moment of the force. Divergent system of forces.

example

problems

4. Trusses. Method of joints. Method of sections (Ritter’s method)

example

problems

5. Internal forces – concentrated force (Beams)

example

5a. Distributed force (Beams)

example

5b. Concentrated moment (Beams)

example

5c. Different loads (Beams)

example

5d. Triangular distributed  force (Beams)

example

6. Internal forces (Beams with joints)

example

problems

7. Internal forces (Frames)

example

example II

problems

8. Center of gravity, center of mass

example

9. and 10. Moments of inertia, Parallel-Axis theorem (Parallel transformation), Moments of inertia about inclined axis (rotational transformation)

example

example II

problems

table – moments of inertia