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98 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Pace Factor |
Distance measured over Average Pace |
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Stadia Measurement |
Stadia Interval factor times Stadia intercept cosine theta plus stadia constant |
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Coeffient of thermal expansion (alpha) |
11.6 time ten to the negative six per degree celcius |
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True distance |
True distance times one plus error |
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End area method |
Area one plus area two over 2 time length |
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Prismoidal formula |
Length over six times Area one plus four Area middle plus area two |
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Prismoidal correction formula |
L over 12 times C1 minus C2 time D1-D2 |
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Length of cut and fill |
H cut plus H fill over Grade ground - Grade road |
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Radius of curve using Arc Basis |
1145.916 over D |
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Radius of curve using chord basis |
10 over sine D over 2 |
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Impact factor |
V squared over g r |
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Distance along tangent to any point on the spiral |
L minus L to the 5th over 40 r squared L s squared |
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Offset distance from tangent to any point on the spiral |
L cube over 6 r L s |
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Spiral angle from tangent to any point on the spiral |
L squared over 2 R l s |
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Deflection angle i |
Theta over 3 |
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Length of throw |
X c over 4 |
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Desirable length of spiral |
L s equal to 0.0036 v cube over R |
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Stopping sight distance |
V t plus breaking distance |
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Stopping sight distance |
V t plus breaking distance |
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Breaking distance |
V squared over 2 g quantity f plus minus grade |
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Space mean speed |
D over t |
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Time mean speed |
Total speed over n cars |
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Peak hour factor |
Flow over higest volume every 5 minute times 12 |
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Parabolic segment Area |
2/3 b h |
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Parabolic segment Area |
2/3 b h |
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Spandrel Area |
1/3 bh |
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Parabolic segment Area |
2/3 b h |
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Spandrel Area |
1/3 bh |
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Radius for circle circumscribed about a triangle |
R equals abc over 4 A t |
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Circle inscribed in a triangle |
A t over s |
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Circle escribed about a triangle |
A t over s minus a |
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Parabolic segment Area |
2/3 b h |
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Spandrel Area |
1/3 bh |
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Radius for circle circumscribed about a triangle |
R equals abc over 4 A t |
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Circle inscribed in a triangle |
A t over s |
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Circle escribed about a triangle |
A t over s minus a |
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Circle circumscribed about a quadrilateral |
Square root of a b plus c d times a c plus b d times a d plus b c over 4 Area quadrilateral |
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Parabolic segment Area |
2/3 b h |
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Spandrel Area |
1/3 bh |
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Radius for circle circumscribed about a triangle |
R equals abc over 4 A t |
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Circle inscribed in a triangle |
A t over s |
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Circle escribed about a triangle |
A t over s minus a |
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Circle circumscribed about a quadrilateral |
Square root of a b plus c d times a c plus b d times a d plus b c over 4 Area quadrilateral |
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Circle inscribed about a quadrilateral |
Area quad over s |
Area quad is square root of a b c d |
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Surface area of platonic solids |
Tetrahedron square root of 3 Hexahedron a squared Octahedron 2 square root of 3 Dodecahedron 20.65 Icosahedron 5 square root of 3 |
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Surface area of platonic solids |
Tetrahedron square root of 3 Hexahedron a squared Octahedron 2 square root of 3 Dodecahedron 20.65 Icosahedron 5 square root of 3 |
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Volume of platonic solids |
Tetrahedron one over six square root of 2 Hexahedron a cube Octahedron square root of 2 over 3 Dodecahedron 7.66 Icosahedron 2.181 |
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Volume of pyramid |
1/3 b h |
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Volume of pyramid |
1/3 b h |
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Frustum of cone and pyramid |
H over 3 time Area 1 plus Area 2 plus square root of Area 1 Area 2 |
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Sphere |
Volume 4/3 pi r cube Surface area 4 pi r squared A zone pi r squared h Volume of spherical segment pi h squared over 3 time 3 r minus h |
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Spherical polygons |
Area equals pi 2 E over 180 E equals sum of angles minus quantity n minus 2 times 180 |
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Solids of revolution |
Area equals L time 2 pi R Volume equals Area times 2 pi R |
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Ellipsoid |
4/3 pi a b c |
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Ellipse |
Area equals pi a b Perimeter equals 2 pi times square root of a squared plus b square over 2 |
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Slope of the curve |
D y over d x |
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Radius of curvature |
H equals x minus y prime times one plus y prime squared over h double prime K equals y plus 1 plus y prime squared over y double prime Rho equals quantity 1 plus y prime squared quantity 3/2 over y double prime |
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Minimum length of wire running from the top of one post to the stake on the ground and to the top of another post |
X over a equals d over a plus b |
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Minimum length of wire running from the top of one post to the stake on the ground and to the top of another post |
X over a equals d over a plus b |
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Largest cylinder that can be inscribed in a given cone |
Y equals h over 3 |
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Centroid of semi circle |
4 r over 3 pi |
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Square property of parabola |
X a squared over X b squared equals Y a over Y b |
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Belt friction |
T one over T 2 equals e to the f beta |
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Relationship between translation and rotation |
S equals r theta Velocity equals r omega Acceleration equals r alpha |
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Centrifugal force |
Mass times normal acceleration or W over g times omega squared r |
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Impulse |
Force times time |
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Impulse |
Force times time |
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Momentum |
Mass times velocity |
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Impulse |
Force times time |
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Momentum |
Mass times velocity |
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Coefficient of restitution |
V separation over v approach |
E equals 0 for perfectly plastic collision E equals 1 for perfectly elastic collision |
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Conversion |
90 degrees equals pi over 2 rad equals 100 grad equals 1600 mils |
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Conversion |
1 tally equals 10 pins 1 pin equals 1 tape length 1 yard equals 3 feet |
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Snell’s Law |
Sine refracted angle over sine angle of incidence equals n air over n water |
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Snells Law |
Sine refracted angle over sine angle of incidence equals n air over n water |
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Frog angle N |
1/2 co tangent theta over 2 |
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Length of economic haul |
Free haul distance plus 20 cost of borrow over cost of haul |
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Stifness factor |
K equals cube root of E subgrade over E steel |
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Period and frequency |
2 pi over b B over 2 pi |
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Frustum of a right circular cone |
Pi h over 3 time R squared plus r squared plus r r |
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Design Base Shear |
C v I W over R t |
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Design Base Shear |
C v I W over R t |
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Limits of V |
Less than 2.5 C a W I over R Greater than 0.11 C a W I Greater than 0.8 z N v I W over R |
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F |
V minus F t time W x h x over summation of W x h x |
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F |
V minus F t time W x h x over summation of W x h x |
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F t |
0.07 T v or less than 2.5 V |
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20 degrees |
17.69 7.44 3.64 |
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25 degrees |
N C 25.13 N q 12.72 N gamma 8.34 |
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25 degrees |
N C 25.13 N q 12.72 N gamma 8.34 |
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30 degrees |
N c 37.16 N q 22.46 N gamma 19.13 |
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25 degrees |
25.13 12.72 8.34 |
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30 degrees |
37.16 22.46 19.13 |
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35 degrees |
N c 57.75 N q 41.44 N gama 45.41 |
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Thermal stress for unyielding supports |
Sigma equals negative alpha delta t E |
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Thermal stress for unyielding supports |
Sigma equals negative alpha delta t E |
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Thermal stress when there is yield |
Alpha L delta t equals ey plus P L over a E |
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Error in the measured horizontal angle |
E quals e times 1 over cosine theta 1 minus 1 over cosine theta 2 |
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Sum of the years |
F c minus S v over 1 plus i to the n minus 1 times i |
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