Study Guide

Objective

On completion of the course the student can:
- define force and moment and combine forces
- calculate moment of a force along a point
- show forces acting on a body and draw a free body diagram, as well as write equations of equilibrium for a body
- solve unknown forces using equations of equilibrium; solve support reactions of a structure
- identify statically determined structures and identify turning over
- describe friction
- determine internal forces and describe internal force diagrams.
Acquired knowledge
- The student knows basic concepts in statics.
- The student can explain the significance of the equilibrium of a rigid body.
- The student can explain the significance of internal and external forces in the equilibrium of a rigid body.
- The student can explain forces influencing the equilibrium of a rigid body also in relation to turning over, or when equilibrium is maintained by friction.
- The student can explain the significance of internal forces for keeping a body intact.
- The student can explain the marking rules for internal forces of a statically determined structure and the significance of internal force diagrams.
Acquired skills:
- The student can work with force systems and form an equivalent force system.
- The student can draw a free body diagram and use it.
- The student can write and solve equations of equilibrium.
- The student can solve cable systems and other simple internal forces.
- The student can identify a statically determined structure and solve support reactions of a structure.
- The student can explain forces influencing the equilibrium of a rigid body in relation to turning over and understand friction as part of an equilibrium.
- The student understands internal forces in beams and frames, and can draw diagrams for them, as well as moment and displacement diagrams.

Content

1. Basics of statics according to Newton’s mechanics
2. Force systems
3. Moment of a force along a point, couple
4. Equivalent force system, wrench
5. Force system in 3D
6. Distributed force
7. Equilibrium of a rigid body
8. Free-Body diagram
9. Cable-systems and hoists
10. Reactions of hinged support
11. Statically determined structures
12. Turning over of a rigid body
13. Friction as part of an equilibrium
14. Internal forces in beams and frames, and diagrams for them

Prerequisites

Algebra, trigonometry, vectors, Newton’s mechanics

Assessment criteria, satisfactory (1)

On completion of the course the student can:
- describe force systems
- identify an equivalent force system and explain equations of equilibrium
- present the principles of solving forces and moments, identify turning over
- describe friction
- determine forces and describe internal force diagrams.

Assessment criteria, good (3)

On completion of the course the student can:
- work with force systems, form an equivalent force system and write equations of equilibrium
- find and solve forces and moments and analyse turning over
- calculate friction and apply friction
- determine and apply forces and solve describe internal force diagrams.

Assessment criteria, excellent (5)

On completion of the course the student can:
- explain and use force systems
- produce an equivalent force system and wrench, and prepare equations of equilibrium of a rigid body
- produce a model for turning over
- develop a model for friction
- calculate and apply internal forces
- draw and generalise internal force diagrams.

Assessment criteria, approved/failed

On completion of the course the student can:
- describe force systems
- identify an equivalent force system and explain equations of equilibrium
- present the principles of solving forces and moments, identify turning over
- describe friction
- determine forces and describe internal force diagrams.