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Lesson: Fairly Fundamental Facts About Forces & Structures Contributed by: K-12 Outreach Office, Worcester Polytechnic Institute
Learning Objectives (Return to Contents) Students will learn:
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.
(ex. pulling on two pieces of wood that have been glued together (the glue joint is "being subjected to a shear loading")
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.
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:
(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.
Associated Activities (Return to Contents) Assessment (Return to Contents) 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 OutreachCopyright © 2005 by Worcester Polytechnic Instituteincluding copyrighted works of other educational institutions; all rights reserved Supporting Program (Return to Contents) K-12 Outreach Office, Worcester Polytechnic InstituteLast Modified: September 26, 2008 | ||||||||||||||||||||||||||||||||||
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