Strain Rosette
TITLE PAGE
Laboratory Title: 2D Strain Rosette Analysis
Contents
Page 1 Title page
Page 2 Contents
Page 3 Nomenclature
Page 4 Summary
Page 4 Literature Search
Page 5-6 Theory
Page 7 Apparatus
Page 8 Procedure
Page 9 Tabulated Experimental Results
Page 10-13 Sample Calculations
Page 14 Tabulated Calculated Results
Page 14 Error Analysis
Page 14 Conclusions
Page 15 Group Teamwork Management
Page 15 Safety Assessment
Page 16 Discussion / Analysis
Page 16 References
Page 2
NOMENCLATURE
M = Mass (grams)
[pic] (N/m²)(Pa) w =Width (M) h =height (M) ε1, ε2, ε3 = strains measured along corresponding axes of rosette elements, in/in (m/m)
ν = Poisson’s Ratio
E = modulus of elasticity, psi (N/m )
y = deflection (in)
P = force, lbs
L = distance from clamp to loading micrometer (mm)
x = the distance from the loading micrometer to the rosette centreline
t = the beam thickness, in (m) b = beam width, in(m) c = semi thickness of the beam, in (m)
M = bending moment at rosette centreline, psi(Pa or N/m²) ε p,q = algebraically maximum and minimum principal strains respectively, psi (N/m²) σp,q = algebraically maximum and minimum principal stresses, respectively, psi (N/m²) σl = Longitudinal surface stress at rosette centreline (Mpa) µε = Mirco strains
Page3
Summary
This experiment is used to measure the strains using strain gauges positioned in 3 different axis surrounding a point on a cantilever beam.
The principal stresses are then calculated from the resultant strains. The calculated stresses are
Laboratory Title: 2D Strain Rosette Analysis
Contents
Page 1 Title page
Page 2 Contents
Page 3 Nomenclature
Page 4 Summary
Page 4 Literature Search
Page 5-6 Theory
Page 7 Apparatus
Page 8 Procedure
Page 9 Tabulated Experimental Results
Page 10-13 Sample Calculations
Page 14 Tabulated Calculated Results
Page 14 Error Analysis
Page 14 Conclusions
Page 15 Group Teamwork Management
Page 15 Safety Assessment
Page 16 Discussion / Analysis
Page 16 References
Page 2
NOMENCLATURE
M = Mass (grams)
[pic] (N/m²)(Pa) w =Width (M) h =height (M) ε1, ε2, ε3 = strains measured along corresponding axes of rosette elements, in/in (m/m)
ν = Poisson’s Ratio
E = modulus of elasticity, psi (N/m )
y = deflection (in)
P = force, lbs
L = distance from clamp to loading micrometer (mm)
x = the distance from the loading micrometer to the rosette centreline
t = the beam thickness, in (m) b = beam width, in(m) c = semi thickness of the beam, in (m)
M = bending moment at rosette centreline, psi(Pa or N/m²) ε p,q = algebraically maximum and minimum principal strains respectively, psi (N/m²) σp,q = algebraically maximum and minimum principal stresses, respectively, psi (N/m²) σl = Longitudinal surface stress at rosette centreline (Mpa) µε = Mirco strains
Page3
Summary
This experiment is used to measure the strains using strain gauges positioned in 3 different axis surrounding a point on a cantilever beam.
The principal stresses are then calculated from the resultant strains. The calculated stresses are
References: http://www.vishay.com/docs/11065/tn515.pdf Hearn E.J. Mechanic of materials 1997 Page 16