Final Flashcards
Define stress. How is it calculated?
Stress is the external forces resisted by internal forces causing deformation of a body. (Stress= Internal Force/Cross Sectional Area)
What kind of biological structures undergo stress?
Cartilage, tendons, ligaments, bones, and muscle
What are the three principle stresses?
Tension, Compression and Shear Stress
How does the size of CSA effect how a bone handles tension?
When the CSA is larger, stress is smaller and the bone is stronger, when the CSA is smaller, stress is larger and the bone is weaker.
What kind of deformation do tensile loads cause?
Typical deformation is stretching/elongating. Elongation is proportional to the magnitude of the stress.
What kind of injuries do tensile loads cause?
In humans, very large tensile loads may sprain/rupture ligament and tendons, tear muscle and cartilage and fracture bone
What kind of deformation do compressive loads cause?
Typical deformation results in shortening in the direction of these external forces.
What kind of injuries do compressive loads cause?
In humans, compressive loads may cause bruising of soft tissue and crushing fractures of bones.
How do these stresses act in relation to the analysis plane? Tension, Compression, Shear
Tension and Compression act perpendicular, Shear acts parallel
How is shear stress calculated?
shear stress= shear force/cross sectional area at analysis plane
What kind of deformation do shear loads cause?
Typical deformation causes a change in orientation of the sides of the object, or a skewing
What kind of injuries do shear loads cause?
In humans, shear loads cause blistering of the skin, Large shear loads acting on the extremities may cause joint dislocation or shear fractures of bones
Define a bending load.
A force couple would be created by the molecules near the top of the right piece pulling on the molecules at the top of the left piece, and by the molecules near the bottom of the right piece pushing on the molecules near the bottom of the left piece. Tensile stress occurs at the upper half of the plane while compressive stress occurs on the lower half
Do the stresses become larger or smaller as the distance away from the center line increases?
The stress becomes larger as the distance away from the center line increases
In a bending scenario, what limits the moment arm of an object? How does this effect the internal forces?
The objects depth limits the moment arm. When the moment arm is small, the internal forces must be large to create a big enough counter torque. An object with greater depth is able to withstand greater bending loads because it has a larger moment arm.
What is the relationship between moment arm and torsion?
The moment arm between the internal shear forces on either side of the longitudinal axis is limited by the diameter of the object under torsion. For the pencil, this moment arm is small, so the internal forces (and stresses) must be large to create a large enough countering-torque (refer to the equation for torque.)
If the stresses become too large, the pencil will break. An object with a larger diameter is able to withstand greater torsional loads since the shear stresses are smaller as result of the larger diameter.
Define Strain. How is linear strain calculated?
A property that quantifies the deformation of a material. (strain- change in length/original length)
What causes linear strain
Strain is caused by compression and tension
What is shear strain?
Shear strain occurs with a change in the orientation of adjacent molecules as a result of these molecules slipping past each other.
How does Poisson’s Ratio relate to shear strain?
Poisson’s ratio refers to specific ratio of strain in the axial direction to strain in the transverse direction. (rubber band ball)
Define Elastic Behavior.
When an object stretches under a tensile load, but returns to its original shape when the load is removed.
What is the elastic modulus? How is it calculated?
The ratio of stress to strain (the slope of a stress-strain curve) elastic modulus= change in stress/change in strain
Draw a stress strain curve for a stiff material versus a pliant material.
Stiff is at a higher angle than pliant
What is plastic behavior? What marks the transition from elastic behavior to plastic behavior on a stress-strain curve?
If the load exceeds a certain magnitude, some permanent deformation of the object may occur. The yield point/elastic limit marks the transition
Yield Strength
Stress at the elastic limit of the stress-strain curve; no breakage/rupture, but permanent changes in the dimension of the material occurs
Ultimate Strength
Max stress that a material is capable of handling; highest point on a stress-strain curve; measures the load
Failure Strength
Stress where failure actually occurs; failure in breakage or rupture; usually has the same value as ultimate strength
What is toughness? How is it measured?
Toughness is the ability of a material to absorb energy. It is measured by the area underneath of a materials stress-strain curve
isotropic Properties
Material has the same mechanical properties in each direction.
Anisotropic Properties
Materials that have different mechanical properties depending on the direction of the load
What are the properties of the Collagen? Isotropic or anisotropic?
Most abundant substance in all connective tissue, 8-10% failure strain, high tensile strength and no compression. strength (isotropic)
What are the properties of the Elastin? Isotropic or anisotropic?
Fibrous protein that is pliant and very flexible (anisotropic)
How are mechanical properties of all connective tissues affected by age and activity?
Bone, cartilage, ligament, and tendon strengths increase with regular cycles of loading and unloading. Inactivity and immobilization decreases their strength. All connective tissue shows an increase in ultimate strength until the third decade of life (30s!). After this point, the strength decreases.
Bone
Carry almost all compressive loads of the body, are strong against tensile and shear loads as well (35% collagen, 20% water, 45% mineral) STRONGEST AND STIFFEST MATERIAL; graphs differ for each unique bone, the porosity of a bone storminess its strength and stiffness, bones are strongest in compression and weakest in shear
Cortical Bone
Found in the dense, hard outer layers of bone
Cancellous Bone
Spongy bone, less dense and more porous. Found deep and near the ends of long bones