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Bloque A. Sistemas isostáticos reticulados planos. Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014 Bloque A. Sistemas isostáticos reticulados planos. Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014 Solid Mechanics Block A. Internal forces. Diagrams. Degree in Architecture. San Pablo CEU University – Institute of Technology.

Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

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This presentation is part of the Solid Mechanics course taught in the second year of the Degree in Architecture at San Pablo CEU University Institute of Technology, in Madrid (Spain). This step by step example covers how to obtain reactions at supports and internal joints in 2D, statically determinate, multibody structural systems. The second part uses the same example to learn how to draw axial (normal), shear and bending moment diagrams. Feel free to comment!

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Page 1: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

Solid Mechanics

Block A. Internal forces. Diagrams.

Degree in Architecture.

San Pablo CEU University – Institute of Technology.

Page 2: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

1 - General layout.

Page 3: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

1 - General layout.

Page 4: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

2 – Calculo de las reacciones

Page 5: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

2 – Calculo de las reacciones

Page 6: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

2 – Calculo de las reacciones

Page 7: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

2 – Calculo de las reacciones

Page 8: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 9: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 10: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 11: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 12: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 13: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 14: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 15: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 16: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 17: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 18: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 19: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 20: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 21: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 22: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 23: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 24: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 25: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 26: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 27: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 28: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 29: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 30: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 31: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 32: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 33: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 34: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 35: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 36: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 37: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 38: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 39: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 40: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 41: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 42: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 43: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 44: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 45: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 46: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 47: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 48: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 49: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 50: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 51: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 52: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 53: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 54: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 55: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 56: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 57: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

3 – Internal forces

Page 58: Solid Mechanics. Reactions and internal forces. Step by step example . Part 2

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

Bloque A. Sistemas isostáticos reticulados planos.

Solid Mechanics – Academic Year 2014/2015 Prof: Maribel Castilla Heredia @maribelcastilla v.1.0 October 2014

Solid Mechanics

Block A. Internal forces. Diagrams.

Degree in Architecture.

San Pablo CEU University – Institute of Technology.