materials equations Flashcards

1
Q

stress

A

force/cross sectional area

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2
Q

strain

A

change in length/original length

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3
Q

youngs modulus

A

stress/strain

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4
Q

rigidity

A

EA

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5
Q

stiffness

A

rigidity per unit length

k=F/change in length

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6
Q

flexibilty

A

f=change in length/F

inverse of stiffness

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7
Q

strain rate

A

change in strain/time

coeficient of viscosity (n)=stress/strain rate

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8
Q

shear stress

A

shearing force/sheared area

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9
Q

shear strain

A

angle sheared =x/d

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10
Q

shear strength

A

shear force required to fracture/sheared area

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11
Q

modulus of rigidity

A

shear stress/shear strain

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12
Q

max shear stress

A

stress/2

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13
Q

how are G and E linked

A

E/2 (1+v)

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14
Q

variation in stress (bending)

A

stress = eE = y/rE

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15
Q

bending moment

A

Mc=Fx

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16
Q

bending strength

A
stress = eE=y/rE
Mmax = stress x I/y max

M/I = O/y = E/R

17
Q

shear stress (torsional)

A

G angel x r(ab)/L

18
Q

shear strain

A

angle r(ab)/l

19
Q

M applied twisting moment

A

J G angle of twist/L

M/J = Backwards J/R = G angle/L

20
Q

I for square and y max

A

bd3/12

1/2d

21
Q

i for circle and ymax

A

pie d4/64

1/2d

22
Q

i and y max for cylinder

A

pie/64 x (d4outer-d4inner)

1/2douter