Understanding material properties is essential as they have definite meanings; key terms include:
Strength
Stiffness
Brittle vs. Tough
Malleable
Ductile
Density
Definition: A strong material needs a large force to break it.
Example: Steel cables are used in suspension bridges because steel is strong and can handle heavy loads (e.g., trucks).
Non-Example: Copper is not as strong, hence unsuitable for cables in heavy-load structures.
Conclusion: Strength relates to a material's resistance to breaking.
Definition: Stiffness is the resistance to deformation (changing shape).
A stiff material does not deform much when stretched or compressed.
Types of stiffness:
Tensile Stiffness: Resistance when stretching.
Compressive Stiffness: Resistance when squashing.
Additional types include bending and torsional stiffness depending on the shape and forces applied.
Comparison: Steel (stiff) vs. rubber (not stiff but strong).
Young's Modulus (E): A measure of stiffness for materials like steel, copper, or rubber.
Brittle Materials: Prone to cracking easily.
Example: Glass and cast iron are brittle; cast iron can crack if struck hard.
Tough Materials: Resistant to cracking.
Example: Wrought iron (like horseshoes) is tough and does not crack easily.
Definition: Ability of a material to be hammered or pressed into shape.
Materials: Copper and iron are malleable, making them useful in various applications.
Terminology: "Mallet" is derived from "malleable."
Definition: Ductile materials can be drawn into wires through tensile deformation.
Example: Copper and gold can be stretched into thin wires, demonstrating ductility.
Comparison: Thick objects decrease in thickness while the length increases when stretched.
Definition: Density is mass per unit volume (measured in kilograms per meter cubed).
Formula: ( \rho = \frac{m}{v} ) (where ρ = density, m = mass, v = volume)
Example: Density of aluminum is approximately 2,710 kg/m³; uranium is 18,900 kg/m³, about 7 times denser than aluminum.
Applications: Aluminum is used in airplanes for its low density, while depleted uranium is used in weaponry because of its high density, allowing for greater impact damage.
Write definitions for each term: strength, stiffness, brittle, tough, malleable, ductile, density.
Example Calculation: To practice density, calculate the density of iron (0.15 meters³ volume, 1180 kg mass) and verify against standard values.