FE CIVIL EXAM - Things to know.
Force =
mass * acceleration
Weight (SI system) =
Mass * gravity
Mass is a
Constant measurement and dimensionless quantity of the amount of matter in a particle or object
Weight is
A measurement that varies with gravitation field and is a force
The units for mass and weight (force) in SI are
Kilograms & newtons
The units for mass and weight in the English system are
Pounds-mass (lbm) & pounds force (lbf)
The gravitation constant to convert lbf to lbm is
gc= 32.2 lbm-ft/lbf-sec^2
Weight in lbf (English system)=
(Mass (lbm) * gravity) / gravitation constant
The acceleration of gravity for earth is
32.2 ft/sec^2 (English) and 9.81 m/s^2 (SI)
Force (SI system)=
Mass * acceleration
Force in lbf (English system)=
(Mass (lbm) * acceleration (ft/sec^2))/gravitational constant
Unit weight =
Weight/volume or (mass*gravity)/volume
The main difference between the English and metric system when it comes to force and mass
In english force and mass share a unit (lbf & lbm), metric does not
What is the Slope formula in terms of y & x
(Y2-Y1)/(X1-X1)
The formula to get a slope of a perpendicular line is
, m1=-1/m2
Standard equation of a line
y=mx+b, where m is the slope and b is the y-intercept
General form of an equation of a line
Ax+By+C=0 aka mx-y+b
Point slope form of a line
y-y1=m(x-x1)
The length of a vector (if origin is 0,0,0)=
√(ax²+ay²+az²)
In matrices a determinant symbol is
|A|
The magnitude of a vector is
The length of a vector; magnitude is a scalar quantity (size no direction)
In statistics a combination is
A selection of all or part of a set of objects without regard to order.
In statistics a permutation is
A mathematical calculation of the number of ways a particular set can be a arranged
The formula for a permutation is
P(n,r) = n!/(n-r)!
The formula for a permutation of different object types Ex. 5 marbles total, 2 red, 2 yellow, & 1 blue,
how many arrangements of 5 marbles can be made?
P(ni)= n!/n1!n2!.....ng! (n =total marbles, ng=different marble colors)
The formula for a combination is
C(n,r)=n!/r!(n−r)! (n=# of objects) & (r=# of objects selected)
The notation for an event probability is
P(E)
The probably of an event happening
0<P(E)<=1 or P(E)= 1-P(not E)
The symbol for the probability of both A & B
P(A,B)
Law of Compound Probability (probability of pulling B given A has already occurred)
Force =
mass * acceleration
Weight (SI system) =
Mass * gravity
Mass is a
Constant measurement and dimensionless quantity of the amount of matter in a particle or object
Weight is
A measurement that varies with gravitation field and is a force
The units for mass and weight (force) in SI are
Kilograms & newtons
The units for mass and weight in the English system are
Pounds-mass (lbm) & pounds force (lbf)
The gravitation constant to convert lbf to lbm is
gc= 32.2 lbm-ft/lbf-sec^2
Weight in lbf (English system)=
(Mass (lbm) * gravity) / gravitation constant
The acceleration of gravity for earth is
32.2 ft/sec^2 (English) and 9.81 m/s^2 (SI)
Force (SI system)=
Mass * acceleration
Force in lbf (English system)=
(Mass (lbm) * acceleration (ft/sec^2))/gravitational constant
Unit weight =
Weight/volume or (mass*gravity)/volume
The main difference between the English and metric system when it comes to force and mass
In english force and mass share a unit (lbf & lbm), metric does not
What is the Slope formula in terms of y & x
(Y2-Y1)/(X1-X1)
The formula to get a slope of a perpendicular line is
, m1=-1/m2
Standard equation of a line
y=mx+b, where m is the slope and b is the y-intercept
General form of an equation of a line
Ax+By+C=0 aka mx-y+b
Point slope form of a line
y-y1=m(x-x1)
The length of a vector (if origin is 0,0,0)=
√(ax²+ay²+az²)
In matrices a determinant symbol is
|A|
The magnitude of a vector is
The length of a vector; magnitude is a scalar quantity (size no direction)
In statistics a combination is
A selection of all or part of a set of objects without regard to order.
In statistics a permutation is
A mathematical calculation of the number of ways a particular set can be a arranged
The formula for a permutation is
P(n,r) = n!/(n-r)!
The formula for a permutation of different object types Ex. 5 marbles total, 2 red, 2 yellow, & 1 blue,
how many arrangements of 5 marbles can be made?
P(ni)= n!/n1!n2!.....ng! (n =total marbles, ng=different marble colors)
The formula for a combination is
C(n,r)=n!/r!(n−r)! (n=# of objects) & (r=# of objects selected)
The notation for an event probability is
P(E)
The probably of an event happening
0<P(E)<=1 or P(E)= 1-P(not E)
The symbol for the probability of both A & B
P(A,B)
Law of Compound Probability (probability of pulling B given A has already occurred)
