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vekshin1
3 years ago
8

Learning Goal: To use fundamental geometric and statics methods to determine the state of plane stress at the point on an elemen

t of material that is rotated clockwise through an angle from the in-plane stress representation of the point on an element of material is shown. Let |σx| = 320 MPa , ∣∣σy∣∣ = 110 MPa , and ∣∣τxy∣∣ = 85.0 MPa . Use this information to represent the state of stress of the same point that is rotated through an angle of θ = 35.0 Part A - Normal and shear stress on element sectioned at plane a–a Using the element sectioned at plane a–a and the rotated coordinate system shown, determine the normal and shear stresses, σx′ and τx′y′, respectively, acting on plane a–a.Part B - Normal and shear stress on element sectioned at plane b–b Using the element sectioned at plane b–b and the rotated coordinate system shown, determine the normal and shear stresses acting on plane b–b.
Engineering
1 answer:
tiny-mole [99]3 years ago
5 0

Answer:

Please see the attached file for the Complete answer.

Explanation:

Download pdf
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Explanation:

From the information given:

Inlet:

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v_1 = v_f + x_1 ( vg - ( v_f)) \\ \\ v_1 = 0.7428 \times 10^{-3} + 0.2 (0.1247 -(0.7428 \times 10^{-3})) \\ \\  v_1 = 0.0255 \ m^3/kg \\ \\ \\  v_2 = v_g = 0.1247 \ m^3/kg

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\rho_1A_1v_1 = \rho_2A_2v_2 \\ \\ A_1 =A_2  \\ \\  \rho_1v_1 = \rho_2v_2   \\ \\ \implies \dfrac{1}{0.0255} \times6 = \dfrac{1}{0.1247}\times (v_2)\\ \\ \\\mathbf{\\ v_2 = 29.34 \ m/sec}

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