Statics (5 ECTS)

Objective

On completion of the course, the student can:
• define force and moment
• combine forces
• calculate moment of a force along a point
• define an equivalent force system
• show forces acting on a body and draw a free body diagram
• write equations of equilibrium for a body
• solve unknown forces using equations of equilibrium
• solve reactions of a structure
• identify statically determined structures
• identify turning over
• describe friction
• determine internal forces
• describe internal force diagrams.
Acquired knowledge
- The student knows basic concepts in statics.
- The student can explain the significance of 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 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 equilibrium.

Content

Basics of statics according to Newton’s mechanics
Force systems
Moment of a force along a point, couple
Equivalent force system, wrench
Force system in 3D
Distributed force
Equilibrium of a rigid body
Free-Body diagram
Internal and external forces in equilibrium
Cable-systems and hoists
Reactions of hinged support
Reactions of trusses
Statically determined structures
Stability of a rigid body
Friction as part of equilibrium
Marking rules for internal forces of a statically determined structure and internal force diagrams
Internal forces in beams and frames, and diagrams for them
Internal force diagrams
Trusses

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

- describe force systems
- identify an equivalent force system and wrench
- repeat equations of equilibrium of a rigid body
- present the principles of solving forces and moments
- identify turning over
- describe friction
- determine internal forces
- describe internal force diagrams.

Assessment criteria, good (3)

The student can
- discuss force systems
- produce an equivalent force system and wrench
- prepare equations of equilibrium of a rigid body
- find and solve forces and moments
- analyse turning over
- calculate friction and apply friction
- calculate internal forces
- draw internal force diagrams.

Assessment criteria, excellent (5)

The student can
- explain and use force systems
- determine an equivalent force system and wrench
- develop equations of equilibrium of a rigid body
- execute and implement solutions of forces and moments
- produce a model for turning over
- develop a model for friction
- calculate and apply internal forces
- draw and generalize internal force diagrams.

Assessment criteria, approved/failed

- describe force systems
- identify an equivalent force system and wrench
- repeat equations of equilibrium of a rigid body
- present the principles of solving forces and moments
- identify turning over
- describe friction
- determine internal forces
- describe internal force diagrams.

Qualifications

Algebra, trigonometry, vectors, Newton’s mechanics