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1.033/1.57 Mechanics of Material Systems Strain Gage Rosette Graphical Determination Measurement: 3 Relative Length Variations from Strain gages λ 1, λ 2, λ b Aim: Find ε 12 =γ(e 1,e 2 )
1.033/1.57 Mechanics of Material Systems 1. λi (i=1,2,b) in Mohr Plane
1.033/1.57 Mechanics of Material Systems 2. Center: λ c =(λ 1 +λ 2 )/2
1.033/1.57 Mechanics of Material Systems 3. ε 12 = λ b(λ 1 +λ 2 )/2 = λ b λ c Construction circle of Radius ε 12 = λ b λ c
1.033/1.57 Mechanics of Material Systems 4. The Mohr Circle
1.033/1.57 Mechanics of Material Systems 5. The Strain Vectors: OE(e 1 ) P-Plane
1.033/1.57 Mechanics of Material Systems 6. The Strain Vectors: OE(e 2 ) P-Plane
1.033/1.57 Mechanics of Material Systems 7. The Strain Vectors: OE(n b ) P-Plane
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In general stress in a material can be defined by three normal stresses and three shear stresses. For many cases we can simplify to three stress components.
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1.033/1.57 Mechanics of Material Systems (Mechanics and Durability of Solids I) Franz-Josef Ulm Lecture: MWF1 // Recitation: F3:00-4: /1.57 Mechanics.
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10-3 Circles Learning Target: I can use equations of circles to model and solve problems Goal 2.09.
1.033/1.57 Mechanics of Material Systems (Mechanics and Durability of Solids I) Franz-Josef Ulm Lecture: MWF1 // Recitation: F 3:00-4: /1.57: Mechanics.
A Circle is a closed plane figure in which all the points are the same distance from the center. F Center Circle F.
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EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +
EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.
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