Engineering Science Amacing

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