Chapter Three Flashcards
What is the definition of strength?
The ability of a material to resist forces.
What is the definition of stress?
Force per unit cross-sectional area of material and usually is expressed in pounds per square inch (psi) or megapascals (MPa)
What is the equation for stress?
Stress=F/A
F is the applied force
A is the cross-sectional area
A force exerted on a small area always causes what?
More stress
What are the different types of stresses?
Tensile
compressive
shear
flexural
What are tensile stresses?
They act to pull apart an object or cause it to be in tension.
How do tensile stress occur, in regards to the direction of force?
They occur parallel to the line of force, but perpendicular to the area in questions.
What is an example of an object being in tension?
If an object is pulled at both ends
What are compressive stresses?
They are stresses that act to squeeze or compress objects.
How do compressive stresses occur, in regards to the direction of force?
They occur parallel to the line of force and perpendicular to the corss-sectional area.
What is an example of a compressive stress?
A blacksmith shapes metal by hitting the material with a hammer to squeeze or compress the metal into the desired shape.
What are shear stresses?
Stresses that act to scissor or shear the object, causing the planes of the material to slide over each other.
How do shear stresses occur, in regards to the direction of force?
They occur parallel to the applied force.
What is an example of shear forces?
Two blocks are bonded to each other. If they are pulled in opposite direction they blocks will eventually be slide apart.
What are flexural stresses?
Stress that is a combination of tension and compression stresses.
What is an example of flexural stresses?
A beam that is loaded transversely. It will sag, and the top fibers will be compressed while the bottom side is in maximum tension.
What is yield stress?
Also known as yield point
The point at which the material begins to maintain a deformational change due to the load and therefore the internal stresses under which it has been exposed.
What is ultimate stress?
The stress at which a material ruptures.
Which has the lower ultimate stress? Ultimate shear stresses or ultimate tensile stresses?
Ultimate sheer stresses.
So less force must be applied for tensile stress before the material ruptures.
What is strain?
If a material lengthens or shortens in response to stress, it is said to experience strain.
What is the equation for strain?
Strain= Change in Length/(-Original length)
What is the most common way to determine the mechanical properties of materials?
The Tension Test
The shape and magnitude of the stress-strain curve of a metal depends on what?
the composition, Heat treatment, History of plastic deformation
Strain rate
Temperature
State of stress imposed during testing
What are the parameters used to describe the stress-strain curve of a metal?
Tensile strength Yield strength Yield poitn percent elongation reduction in area
Which of the parameters are strength parameters?
Tensile strength and yield strength
Which of the parameters are ductility?
Percent elongation and reduction area
What is Hooke’s Law?
Stress (psi)=Strain(Young’s Modulus)
In a stress strain curve, what is the area that is a straight line called?
The elastic region.
What is the equation used for a routine tension test based on Hooke’s law?
Change in L=F(Lo)/AE L=Length F=Force Lo=Original length A=Area E=Modulus of elasticity
What is plastic range?
the range beyond the elastic range, where the material plays plastically. The material has a set or permanent deformation when externally applied loads are removed.
What is the equation for the elastic strain?
Elastic strain=Total strain under load - plastic strain
What is yield point?
The point at which a marked increase in strain occurs without a corresponding increase in stress.
What does the horizontal line in the stress-strain curve indicate?
The yield stress corresponding to the yield point.
What two areas does the yield point separate in the stress-strain curve?
Separates the elastic and plastic portions of the curve
How is the tensile strength of a material obtained?
Dividing the maximum tensile force reached during the test by the original cross-sectional area of the test specimen.
What area of the stress strain curve indicates toughness of the material?
The area under the curve to the point of maximum stress
What is toughness of a material?
Ability of a material to withstand shock loads before rupturing.
What is ductility?
The ability of a material to sustain large permanent deformations in tension, as drawing a rod into a wire.
What is the difference between ductility and toughness?
Ductility deals only with the ability to deform, whereas toughness considers both the ability to deform and the stress developed during the deformation.
What plays important roles in the mechanical properties of objects?
Centroid and center of gravity of objects
What has to be true of two objects to make the center of gravity and centroid the same?
If the density is uniform in each object.
What is the centroid of an area?
The point of application of the resultant of a uniformly distributed force acting on the area.
What is the moment of inertia of finite area about an axis in the plane of the area?
The summation of the moments of inertia about the same axis of all elements of the area constained in the finite area.
What is the definition of the moment of inertia?
The product of the area and the square of the distance between the area and the given axis.
What is the parallel axis theorem?
It states that the moment of inertia with respect to any axis is equal to the moment of inertia with respect to a parallel axis through the centroid added to the product of the area and the square of the distance between the two axes.
What is the equation for the parallel axis theorem?
Moment of inertia about x-axis= Moment of inertia about centroid+Area(Distance^2)
What is the neutral surface?
The area of a beam where the fibers do not undergo any extension or compression and thus are not subject to any tensile or compressive stress.
What is the neutral axis?
The intersection of the neutral surface with any cross-section of the beam perpendicular to its longitudinal axis.
What is the equation for normal stress of a beam?
Normal stress=Ty/I
T=Torque
y=Distance from the neutral axis of the beam
I=Moment of intertia of the cross-sectional area about the neutral or centroidal axis in inches.
What are the three stress of a beam?
Bending, flexure, fiber stresses
What is the equation for maximum torque of cantilevered beams?
Tmax=FL
What is the equation for torque of freely supported beams
Tmax=FL/4
How do you calculate bending torque with multiple forces acting on a beam?
Sum of the torques caused by all the external forces acting on the beam.
Where do most device failures occur?
The corresponding point of maximum torque (bending moment)
What is the equation of stress in a cantilevered beam?
Bending stress=F(Lc)/I
What is the equation of bending stress in a freely supported beam?
Bending stress=F(Lc)/4I
Excessive deflection will do what?
Will disturb alignment or prevent successful operation.
What is the equation for deflection y, anywhere along the length?
y(x)=(Fx^3/-6EI)+(FxL^2/2EI)-(FL^3/3EI)
What is the equation for maximum deflection of the cnatilevered beam (ymax)? Where does it occur?
ymax=-(FL^3/3EI)
Occurs at the free end when x is 0
What is the equation for deflection of the freely supported beam with the midspan loaded?
y(x)=(Fx^3/12EI)-(FxL^2/16EI)
What is the equation of maximum deflection of the freely supported beam? Where does it occur?
ymax=FL^3/-48EI
It occurs at the midspan when X=L/2
What is the definition of a metal?
A chemical element that is lustrous, hard malleable, heavy, ductile, and tenacious and usually is a good conductor of heat and electricity.
What are the most widely used metallic elements?
Iron Copper Lead Zinc aluminum Tin Nickel Magnesium
What is the definition of an alloy?
A combination of elements that exhibits the properties of a metal.
Orthotics and prosthetics typically contain alloys of what?
Aluminum, carbon steels, particularly stainless steel.
Titanium also is used
What is the most important characteristic of all metals?
Their Crystallinity
What is a crystalline substance?
One in which the atoms are arranged in definite and repeating order in a three-dimensional pattern.
What is the regular arrangement of atoms called in a crystalline substance?
A space lattice
What are the three types of space lattices?
Cubic system
Tetragonal system
hexagonal system
What is the cubic system?
Three contiguous edges of equal length and at right angles.
Simple lattice, body-centered lattice, and face-centered lattice
What is the tetragonal system?
Three contigous edges, two of equal length, all at right angles.
Simple lattice, and body-centered lattice
What is the hexagonal system?
Three parallel sets of equal length horizontal axes at 120 degrees and a vertical axis
Close-packed hexagonal.
How is the orderly state of crystallinity described?
Balanced, unstrained, or annealed.
What are examples of metals that normally exist in only the one form of face-centered cubic?
Ca, Ni, Cu, Ag, Au, Pb, Al
What are examples of metals that normally exist in only the one form of body-centered cubic?
Li, Na, K, V, W
What are examples of metals that normally exist in only the one form of Face-centered tetragonal?
In
What are examples of metals that normally exist in only the one form of Close-packed hexagonal?
Be, Mg, Zn, Cd
What metal is an example of a metal that can exist in more than one lattice form?
Iron
What are the different temperatures and lattice structures that Iron can exist at?
Body-centered cubic: Below 1663 Degrees F
Face-centered cubic: 1663 degrees to 2557 degrees F
Body-centered cubic: 2557 degrees to 2795 degrees F
A metal in the liquid state is not what?
Crystalline, and the atoms move freely among one another without regard to interspatial distance.
What is the freezing point?
The temperature at which atoms begin to arrange themselves in a regular geometric pattern (lattice).
If a space lattice is permitted to grow freely without interference what is produced?
A single crystal is produced that has an external shape typical of the system in which it crystallizes.
As a liquid metal cools what is formed?
Crystallization centers form at random throughout the liquid.
As crystallization continues from a liquid metal what happens?
More crystallization centers are produced and develop with space lattices of random orientation. During the last stages of formation, the different crystal centers meet, but there are places at the surface of intersections where development of other space lattices is impossible. This accounts for the irregular appearance of crystals in a piece of metal that is polished and etched.
During the growth process of crystals , the development of external features, may be prevented due to what?
The interference from the growth of other centers.
What is grain?
Each unit with a crystal center. Essentially a single crystal.
The term crystal usually refers to what?
A group of space lattices of the same orientation that show symmetry by the development of regular faces.
The size of the grain is dependent on what?
The temperature from which the metal is cast, the cooling rate, and the nature of the metal.
In general, slow cooling leads to coarse grain and rapid cooling to fine grain metals.
Which lattice structure is more ductile or wrokable?
Cubic patterns.
Which lattice structure is more brittle or more rigid?
Hexagonal and more complex patterns.
What is the elastic limit?
The force required to bring the first permanent displacement.
What are slip planes?
The specified planes where permanent displacement, or slip occurs in the lattice.
What is the criterion of plasticity?
The ability of a crystal to slip in this manner without separation.
Practically all metals are what?
Plastic to a certain degree.
During plastic deformations, the lattice undergoes what?
Distortion, thus becoming highly stressed and hardened.
What are the characteristic of plans that will most likely undergo slip?
The planes that have the greatest population of atoms and, likewise, the greatest separation of atoms on each side of the planes under consideration.
Sliding movements tend to take place at what angle to the direction of the applied load? Why?
45 degrees
Because much higher stresses are required to pull atoms directly apart or to push them straight together.
The mechanical properties of metals depends on what?
Their lattice structures.
Which lattice structure is most ductile throughout a wide range of temperatures?
Face-centered cubic.
Which lattice structure is hardened by cold working, and plastic deformation takes place most easily on planes parallel to the base of the lattice?
Close-packed hexagonal lattice.
Plasticity depends on what?
The ability to shape and contour aluminum and stainless steel to match body contours
Elasticity depends on what?
The safe and economical use as load-bearing members.
What is the elastic limit?
The maximum stress at which the body behaves elastically.
What is the proportional limit?
The stress at which strain ceases to be proportional to applied stress.
It is practically equal to the elastic limit.
What is plasticity?
The term used to express a metal’s ability to be deformed beyond the range of elasticity without fracture, resulting in permanent change in shape.
What is the ratio of plastic-to-elastic deformation in metals?
It is high around 100:1 or 1000:1.
What are things that can intensify the stresses to an area and cause breaking?
Imperfections Flaws in the regularity of the crystal lattice Microcracks within a grain, shrinkage voids nonmetallic inclusions rough surfaces notices of all kinds
Notches act not only as stress raisers but what?
Also as stress complicators, because they frequently induce stress in many directions.
Iron as a pure metal does not posses what?
Sufficient strength or harness to be useful for many applications.
What is carbon steel?
Iron with added carbon.
What is toughness?
Ability to withstand shock forces
What is hardness/
Resistance to penetration and abrasion
What is ductility?
Ability to undergo permanent changes of shape without rupturing
What is corrosion resistance?
Resistance to chemical attack of a metal under the influence of a moist atmosphere.
The addition of elements to carbon steel can what?
Increase elasticity and tensile strength as well as improve surface finish and machinability.
Nickel steels are characterized by what?
Improved toughness, simplified heat treating, less distortion in quenching, and improved corrosion resistance.
Nickel chromium steels are characterized by what?
Increased depth hardenability and improved abrasion resistance.
Molybdenum steels are characterized by what?
The greatest hardenability, with manganse and chromium, increased high-temperature strength, and increased corrosion resistance.
Chromium steels are characterized by what?
Increased hardening effect.
Vanadium steels are characterized by what?
increased refinement of the internal structure of the alloy, making them suitable for spring steels and construction steels.