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Lesson: Fairly Fundamental Facts About Forces & Structures

Contributed by: K-12 Outreach Office, Worcester Polytechnic Institute

Summary

This lesson will introduce students to the five fundamental loads: compression, tension, shear, bending, and torsion.

Engineering Connection

Engineers must consider many forces when planning and actually building a structure. This lesson introduces students to several of these important forces.


Contents

  1. Learning Objectives
  2. Introduction/Motivation
  3. Background
  4. Associated Activities
  5. Assessment

Grade Level: 7 (6-8) Lesson #: 1
Time Required: Lesson Dependency :None
Keywords: Tension, Compression, Shear, Bending, Torsion, Load, Moment, Torque, Force, Structure, Design
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Related Curriculum

subject areas Physical Science
activities Glue Stick Activity

Educational Standards :    

  •   Massachusetts Science
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Learning Objectives (Return to Contents)

Students will learn:

  • To identify the five fundamental loads: compression, tension, shear, bending, and torsion.
  • The concept of a moment, how to calculate one, and how moments create bending and torsion loads on structures

Introduction/Motivation (Return to Contents)

Everyone knows from experience that a force is a pushing or a pulling action which moves, or tries to move, an object. Engineers design structures, such as buildings, dams, planes and bicycle frames, to hold up weight and withstand forces that are placed on them. An engineer's job is to first determine the loads or external forces that are acting on a structure. Whenever external forces are applied to a structure, internal stresses (internal forces) develop inside the materials that resist the outside forces and fight to hold the structure together. Once an engineer knows what loads will be acting on a structure, they have to calculate the resulting internal stresses, and design each structural member (piece of the structure) so it is strong enough to carry the loads without breaking (or even coming close to breaking).


Lesson Background & Concepts for Teachers (Return to Contents)

The 5 types of loads that can act on a structure are tension, compression, shear, bending, and tortion.

  1. Tension: two pulling forces, directly opposing each other, that stretch out an object and try to pull it apart (ex. pulling on a rope, a car towing another car with a chain - the rope and the chain are in tension or are "being subjected to a tensile load").
    Lesson 1 Figure 1
    Figure 1
  1. Compression: two pushing forces, directly opposing each other, which squeeze an object and try to squash it (ex. standing on a soda can, squeezing a piece of wood in a vise - both the can and the wood are in compression or are "being subjected to a compressive load")
    Lesson 1 Figure 2
    Figure 2
  1. Shear: two pushing or pulling forces, acting close together but not directly opposing each other - a shearing load cuts or rips an object by sliding its molecules apart sideways (ex. pruning shears cutting through a branch paper cutter cutting paper (the branch and the paper are "subjected to a shear loading"))
    Lesson 1 Figure 3
    Figure 3

(ex. pulling on two pieces of wood that have been glued together (the glue joint is "being subjected to a shear loading")

Lesson Figure 4
Figure 4

A Moment of A Force

Before you can understand the last two types of loads, you need to understand the idea of a moment of a force. A moment is a "turning force" caused by a force acting on an object at some distance from a fixed point. Consider the diving board shown below. The heavier the person, and the farther he walks out on the board, the greater the "turning force" which acts on the cement foundation.

Lesson 1 Figure 5
Figure 5

the force (F) produces a moment or "turning force" (M) that tries to rotate the diving board around a fixed point (A) - in this case the moment bends the diving board

The stronger the force, and the greater the distance at which it acts, the larger the moment or "turning force" it will produce.

A moment or "turning force" (M) is calculated by multiplying a force (F) by its moment arm (d) - the moment arm is the distance at which the force is applied, taken from the fixed point:

Lesson 1 Figure 6
Figure 6

(As long as the force acting on the object is perpendicular to the object)

If you have a force measured in Newtons multiplied by a distance in meters, then your units for the moment are N-m, read "Newton-meters". If your force is measured in pounds and you multiply it by a distance given in inches, then your units will be lb-in., read "pound-inches". The units for moments can be any force unit multiplied by any distance unit.

  1. Bending: created when a moment or "turning force" is applied to a structural member (or piece of material) making it deflect or sag (bend), moving it sideways away from its original position - a moment which causes bending is called a bending moment - bending actually produces tension and compression inside a beam or a pole, causing it to "smile" - the molecules on the top of the smile get squeezed together, while the molecules on the bottom of the smile get stretched out - a beam or pole in bending will fail in tension (break on the side that is being pulled apart) (ex. a shelf in a book case (& the diving board from previous example)
    Lesson 1 Figure 7
    Figure 7
  1. Tortion (twisting): created when a moment or "turning force" is applied to a structural member (or piece of material) making it deflect at an angle (twist) - a moment which causes twisting is called a twisting or torsional moment - torsion actually produces shear stresses inside the material - a beam in torsion will fail in shear (the twisting action causes the molecules to be slid apart sideways) (ex. a pole with a sign hanging off one side)
    Lesson 1 Figure 8
    Figure 8

Assess students' understanding, individually or as a group, using the investigating questions located in the associated activity.

Contributors

Douglas Prime, Tufts University, Center for Engineering Educational Outreach

Copyright

© 2005 by Worcester Polytechnic Institute
including copyrighted works of other educational institutions; all rights reserved

Supporting Program (Return to Contents)

K-12 Outreach Office, Worcester Polytechnic Institute

Last Modified: September 26, 2008
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