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Page 1: Shear Stress Notes - University of Utah Stress Notes & Normal&stress(flatplane):& € σ= ρ⋅g⋅H& & & Shear&stress:& € τ=ρ⋅g⋅H⋅sin(ψ)& Free-body Diagram on a Flat Surface

Shear Stress Notes

Units  and  symbols:  

σ        Normal  stress  (Pa)  

Τ        Shear  strength  (Pa)  

τ          Shear  stress  (Pa)  

ρ        Density  (kg/m3)  

g        Acceleration  of  gravity  (9.81  m/s2)  

m      Mass  (kg)  

H        Depth/height  (m)  

N        Newton  =  Force  

 FORCE    

     

Units  of  force:  N  =  kgm/s2  

 How  would  we  convert  forces  into  pressures?    PRESSURE    

 

Units  of  Pressure:  Pa  =  N/m2  =  kg/ms2                          kPa  =  Pa/1000    

 

Page 2: Shear Stress Notes - University of Utah Stress Notes & Normal&stress(flatplane):& € σ= ρ⋅g⋅H& & & Shear&stress:& € τ=ρ⋅g⋅H⋅sin(ψ)& Free-body Diagram on a Flat Surface

Shear Stress Notes

 Normal  stress  (flat  plane):  

σ = ρ⋅ g⋅ H    

 Shear  stress:  

τ = ρ⋅ g⋅ H⋅ sin(ψ)