Study Guide

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

Prerequisites

Algebra, trigonometry, vectors, Newton’s mechanics

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.