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Non-hookean Material
exhibit nonlinear behavior under stress and deformation. These materials may behave differently under various loading conditions.
Hookean Material
materials that exhibit linear elasticity, meaning that they deform proportionally to the applied stress.
Law of Inertia
Newton’s First Law
Law of Acceleration
Newton’s 2nd Law
Law of Opposite Reaction
Newton’s 3rd Law
Center of Gravity
The point through which the whole weight of the body acts is called
force/area
shear equals?
Hooke’s Law
States that strain produced within elastic limits is proportional to the stress producing it.
Normal Stress
The stress which acts in a direction perpendicular to the area
Shear and Bending Moment Diagram
A diagram which shows the variations of the axial load for all sections in the span of a beam
Equilibrium
A condition in which the resultants of all forces acting on the body is zero.
Statics of Rigid Bodies
is the study of materials, objects, or particles at rest or moving under constant velocity
Rigid Body
A combination of large number of particles in which all particles remain at a fixed distance from one another before and applying a load
Ex, Ey, EMo
Order of solving for equilibrium
Varignon’s Theorem
states that the moment of a force about any point is equal to the algebraic sum of the moments of the component forces about the same point.
Tensile
When equal and opposite forces applied to a body tend to elongate it, the stress produced is
Yielding Point
Stress at which extension of a material takes place more quickly as compared to the increase in load
kNm
SI unit for bending moment.
Weight
Refers to the gravitational force (attraction) of the earth acting on a body.
Bending stress is the same at every section along its longitudinal axis
A beam is said to be uniform strength, if
Neutral Axis
In a beam, which layer is neither elongated nor shortened during bending
Free Body Diagram
A _____ isolates a body from its surroundings, and one considers all the forces and only those forces, acting on the body.
2 normal 1 shear
In a body loaded under plane stress conditions, how many independent stress components are present
kN
SI unit for shear force
Rigid
A ______ body is one which does not deform. The distance between the individual particles making up the body remains unchanged under the action of external forces.
tension and compression
types of normal stresses
compressive
a normal stress that reduces volume
a2+b2=c2
Pythagorean theorem
Vector
a quantity that has both magnitude and direction
PL/AE
an engineering formula derived from Hooke's Law, relating applied force and deformation
Force
what is “P” in PL/AE
Original Length
what is “L” in PL/AE
Cross-sectional area
what is “A” in PL/AE
Modulus of Elasticity
what is “E” in PL/AE
Young’s Modulus
the ratio of the stress (force per unit area) applied to the object and the resulting axial strain (displacement or deformation) in the linear elastic region of the material
F sin(angle)
how to find the magnitude of y in vectors
F cos(angle)
how to find the magnitude of x in vectors
divide force to corresponding side and multiply to missing side
how to solve for sides in a 3 4 5 angle
pythagorean and soh cah toa
used in resultant vectors
“dissect” forces to its x and y component
how to solve in method of joints
shear, compressive, tensile, and torsional
types of stresses
psi
imperial unit for force/pressure
kips
occasionally called a kilopound (1000lbs)
Pascal
is defined as a force of 1 Newton across 1 sq metre.
Megapascal (MPa)
1 Newton per Square Millimeter
stress/strain
how do you compute for the modulus of elasticity