# LessonInvestigating Torque

### Quick Look

Time Required: 15 minutes

Lesson Dependency:

Subject Areas: Physical Science, Science and Technology

### Summary

Students learn about torsion as a force acting upon structures and have the opportunity to design something to withstand this force.

### Engineering Connection

Understanding how torsion affects objects helps engineers design products and structures (from bicycles to bridges) that are safe and sound. For civil and mechanical engineers, evaluation of the effect of torsional forces on objects, such as supporting beams in buildings or machine parts, is critical to making sure that structures and machines do not fail.

### Learning Objectives

• Students learn the concept of a moment (torque) of a force and learn how to calculate moments.
• Students learn how moments ("turning forces") create bending and torsion loads on structures.
• Students understand the effects of bending and torsion loads.
• Students gain an appreciation of how engineers can design a structure to resist bending and torsion.

### Educational Standards Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards. All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN), a project of D2L (www.achievementstandards.org). In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics; within type by subtype, then by grade, etc.

###### International Technology and Engineering Educators Association - Technology
• Refine design solutions to address criteria and constraints. (Grades 6 - 8) More Details

Do you agree with this alignment?

###### Massachusetts - Science
• Describe different ways in which a problem can be represented, e.g., sketches, diagrams, graphic organizers, and lists. (Grades 3 - 5) More Details

Do you agree with this alignment?

• Explain how the forces of tension, compression, torsion, bending, and shear affect the performance of bridges. (Grades 6 - 8) More Details

Do you agree with this alignment?

• Describe and explain the purpose of a given prototype. (Grades 6 - 8) More Details

Do you agree with this alignment?

• Identify appropriate materials, tools, and machines needed to construct a prototype of a given engineering design. (Grades 6 - 8) More Details

Do you agree with this alignment?

Suggest an alignment not listed above

### Introduction/Motivation

Introduce students to all the keywords and recap the concepts from Fairly Fundamental Facts about Forces and Structures lesson.

### Lesson Background and Concepts for Teachers

Students should have a basic understanding of tension, compression, shear, bending, torsion and concept of a moment (torque). Review Lesson 1: Fairly Fundamental Facts about Forces and Structures, and complete the Introduction to Loads Acting on Structures lesson before beginning this lesson.

Moment and torque can be use interchangeably, physicists tend to use the word torque and engineers tend to use moment when referring to forces that cause rotation. The ability of any beam or structural member to resist bending and torsion, depends on the following factors (variables):

Material:: Every material has a different yield strength, tensile strength, and shear strength, which ultimately determine the load that a material can withstand and the amount of deformation (stretching, bending, twisting) that accompanies a given load.

Size: Engineers calculate the moment of inertia of a beam or column, which is a measure of the size and shape of its cross-sectional area, and how far away the area is from the center of the beam. The greater the moment of inertia, the greater the load that can be carried by the structural member. This means that increasing the cross-sectional area of a beam or taking a certain amount of area and spreading it out farther from the center, will increase the strength and stiffness of the beam (see Figure A).

It might be instructive for students to draw on graph paper different designs for beams, showing how the cross-sectional area, or the distribution of area can increase to make a stronger, stiffer beam. Have them try to draw two beam cross-sections that have the same areas, but different moments of inertia (meaning that the area of one beam is spread out farther away from the center, and the area of the other is more concentrated around the center).

Reinforcement / Composite Structure: Many structural members are composite materials, which means that they are made from two or more different materials bonded together. Foam board is an example of a composite material; it is a layer of foam sandwiched between two layers of paper. Reinforced concrete has steel rods (called rebars, short for reinforcing bars) that are placed inside the form before the concrete is poured. Concrete is a material that is very strong in compression, but very weak in tension; the steel rebars can take great tensile loads and thus they overcome the weakness of the concrete and make the composite material much stronger. Fiberglass, which is used to make canoes, is mostly a plastic epoxy resin; the epoxy resin by itself would not be that strong, however, it is reinforced by glass fibers inside that are very strong in tension. Refer to the associated activity Wimpy Radar Antenna: Reinforced Tower Test, Analyze & Improve for students to complete the hands-on design challenge of reinforcing an antenna tower made from foam insulation so that it can withstand specified bending and twisting moments (torques) with minimal deflection.

Structural Bracing: Any structural members that help a structure to resist bending and/or torsion. Examples: wire cables (called guy wires) bracing a tower; truss bracing in bridges, towers and skyscrapers (a truss structure is a triangular formation of long, thin bars pinned together at the ends); brackets and braces such as those used to hold up book shelves and store signs, and strengthen table legs and dump truck bodies.

### Associated Activities

• Wimpy Radar Antenna: Reinforced Tower Test, Analyze & Improve - Students reinforce an antenna tower made from foam insulation so that it can withstand specified bending and twisting moments (torques) with minimal deflection. They discuss the problem, run initial tests and graph the results. Then they design, construct and test sturdier towers, and graph the results.

### Assessment

Assess students' understanding, individually or as a group, using the Investigating Questions provided in the associated activity.

### Subscribe

Get the inside scoop on all things TeachEngineering such as new site features, curriculum updates, video releases, and more by signing up for our newsletter!
PS: We do not share personal information or emails with anyone.

### More Curriculum Like This

Middle School Lesson
Fairly Fundamental Facts about Forces and Structures

Students are introduced to the five fundamental loads: compression, tension, shear, bending and torsion. They learn about the different kinds of stress each force exerts on objects.

Middle School Activity
Wimpy Radar Antenna: Reinforced Tower Test, Analyze & Improve

Students reinforce an antenna tower made from foam insulation so that it can withstand a 480 N-cm bending moment (torque) and a 280 N-cm twisting moment (torque) with minimal deflection.

Middle School Lesson
Designing Bridges

Students learn about the types of possible loads, how to calculate ultimate load combinations, and investigate the different sizes for the beams (girders) and columns (piers) of simple bridge design. Additionally, they learn the steps that engineers use to design bridges.

High School Activity
Battle of the Beams

Students create beams using Laffy Taffy and water, and a choice of various reinforcements (pasta, rice, candies) and fabricating temperatures. Student groups compete for the highest strength beam and measure flexure strength with three-point bend tests and calculations.