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Dynamic Analysis Stress
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Outline Force, vectors Units Normal, shear components
Pressure
Lithostatic Stress Stress Tensor Resolving stress on a plane
Dynamic Analysis Stress Force is mass * acceleration
Units? kg m/s2=Newton Mass is in kg weight is your force on Earth
(mass * g) Force is a vector y x Normal F Fy= F . SinA A Fx= F .
CosA Shear Does applied force alone control deformation?
LandO Lakes Stress Stress = force / area Units = Pascals = mass *
acceleration
= N/m2 =kg/(m . s2) How much is 1 Pascal? 1 Pa= 0.00014 psi Car
tire ~200,000 Pa
1 Megapascal (1 Mpa) = 1 million Pa Normal and shear components
Stress Components sxx szz sxz szx z x Principal Stress
Components
You always can find an orientation of the reference cube where
there wont be any resolved shear stresses s1 s3 Most compressive
Least compressive z x Magnitude of Normal and Shear Stresses In
Lithostatic Stress, 1=2=3
Similar to hydrostatic pressure P = g h Units are in MPa Be sure to
work in meters 1 g/cm3 = 1000 kg/m3 Mohr Circle of Stress Mohr
Circle of Stress
sn= (s1 + s3) + (s1- s3) cos 2Q ss= (s1- s3) sin 2Q Mean Stress
Deviatoric Stress Common States of Stress
Triaxial Biaxial Hydrostatic Uniaxial World Stress Map World
Stress