A differential elements on the bracket is subjected to plane strain that has the following components: ϵx = 150(10 −6 ), ϵy = 200(10 −6 ), γxy = −700(10 −6 ). Use the strain-transformation equations and determine the equivalent in plane strains on an element oriented at an angle of u = 60° counterclockwise from the original position. Sketch the deformed element within the x – y plane due to these strains. image is uploaded for reference.

Structural Analysis
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Chapter2: Loads On Structures
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Solve Problem for an element oriented θ = 30° clockwise.

A differential elements on the bracket is subjected to plane strain that has the following components: ϵx = 150(10 −6 ), ϵy = 200(10 −6 ), γxy = −700(10 −6 ). Use the strain-transformation equations and determine the equivalent in plane strains on an element oriented at an angle of u = 60° counterclockwise from the original position. Sketch the deformed element within the x – y plane due to these strains. image is uploaded for reference.

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