Engineering Mechanics

Miroslav Vokáč, Feb 27, 2014

Examples from engineering mechanics.

Table of Contents

  1. Force systems
    1. Coplanar concurrent forces
    2. Aplication of coplanar concurrent force system
    3. Graphical solution of coplanar concurrent forces
    4. Resultant/Equilibrant of non-coplanar concurrent forces
    5. Aplication of non-coplanar concurrent forces
    6. Resultant of coplanar non-concurrent forces
    7. Equilibrant of coplanar non-concurrent forces
    8. Equilibrate the force F by forces A and B
    9. Graphical solution - coplanar non-concurrent forces
  2. Geometrical properties of an area
    1. Centrum of cross-section
    2. I-shaped cross section
    3. T-shaped cross section
    4. Ellipse of inertia
    5. Triangle - Ellipse of inertia
    6. Quarte of ellipse - Ellipse of inertia
    7. Calculator of polygon-shaped cross section
  3. Reaction forces
    1. Reaction forces
    2. Reaction forces
    3. Reaction forces - Gerber beam
  4. Internal forces
    1. Internal forces - siply supported beam with a force
    2. Internal forces - siply supported beam with a force
    3. Internal forces - siply supported beam with two forces
    4. Internal forces - siply supported beam with several force
    5. Internal forces - three-hinged frame
    6. Internal forces - three-hinged frame with tie
    7. Internal forces - stair beam
    8. Internal forces - Gerber beam
  5. Truss structures
    1. Truss structure
    2. Truss structure
    3. Truss structures
    4. Truss structure - graphical solution - Cremona diagram

1.

Force systems

  • 1. Coplanar concurrent forces
  • 2. Aplication of coplanar concurrent force system
  • 3. Graphical solution of coplanar concurrent forces
  • 4. Resultant/Equilibrant of non-coplanar concurrent forces
  • 5. Aplication of non-coplanar concurrent forces
  • 6. Resultant of coplanar non-concurrent forces
  • 7. Equilibrant of coplanar non-concurrent forces
  • 8. Equilibrate the force F by forces A and B
  • 9. Graphical solution - coplanar non-concurrent forces

1.1.

Coplanar concurrent forces

Coplanar concurrent forces
– Miroslav Vokáč

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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1.7.

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1.8.

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1.9.

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2.

Geometrical properties of an area

  • 1. Centrum of cross-section
  • 2. I-shaped cross section
  • 3. T-shaped cross section
  • 4. Ellipse of inertia
  • 5. Triangle - Ellipse of inertia
  • 6. Quarte of ellipse - Ellipse of inertia
  • 7. Calculator of polygon-shaped cross section

2.1.

Centrum of cross-section

Determine co-ordinates related to centrum of given cross-section.
Centrum of cross-section
– Miroslav Vokáč

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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3.

Reaction forces

  • 1. Reaction forces
  • 2. Reaction forces
  • 3. Reaction forces - Gerber beam

3.1.

Reaction forces

Reaction forces
– Miroslav Vokáč

3.2.

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3.3.

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4.

Internal forces

  • 1. Internal forces - siply supported beam with a force
  • 2. Internal forces - siply supported beam with a force
  • 3. Internal forces - siply supported beam with two forces
  • 4. Internal forces - siply supported beam with several force
  • 5. Internal forces - three-hinged frame
  • 6. Internal forces - three-hinged frame with tie
  • 7. Internal forces - stair beam
  • 8. Internal forces - Gerber beam

4.1.

Internal forces - siply supported beam with a force

Internal forces - siply supported beam with a force
– Miroslav Vokáč

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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5.

Truss structures

  • 1. Truss structure
  • 2. Truss structure
  • 3. Truss structures
  • 4. Truss structure - graphical solution - Cremona diagram

5.1.

Truss structure

Využijte interaktivní možnosti a objevujte, které pruty jsou tlačené a které tažené a za jakých podmínek.
Truss structure
– Miroslav Vokáč

5.2.

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5.3.

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5.4.

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