Learning Goal:To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress.The element of material below is subjected to the state of stress shown, where a = 102.0 MPa , b = 62.00 MPa , and c = 28.00 MPaMPa .(Figure 1)Part A - Orientation of the planes of maximum and minimum normal stressDetermine the orientation of the planes of maximum and minimum normal stress, θp1��1 and θp2��2, respectively. Use the value for θp2��2 that is negative. Then use this value to determine the value of θp1��1.Express your answers to four significant figures separated by a comma.View Available Hint(s)for Part A Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type θp1, θp2��1, ��2 =nothing∘, ∘∘, ∘ SubmitPart B - In-plane principal stressesDetermine the in-plane principal stresses for the element (as oriented in Part A), and calculate σ1�1 and σ2�2 such that they correspond with θp1��1 and θp2��2.Express your answers to four significant figures separated by a comma.View Available Hint(s)for Part B Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type σ1, σ2�1, �2 =nothingMPa, MPaMPa, MPa SubmitPart C - Orientation of the element subjected to maximum shear stress on its sidesDetermine the orientation, θs2��2, of the element subjected to maximum shear stress on its left and right sides. Use the value for θs2��2 that is positive.Express your answer to four significant figures and include the appropriate units.View Available Hint(s)for Part C Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type θs2��2 =nothingnothing SubmitPart D - Maximum in-plane shear stress and average normal stressDetermine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part C.Express your answers to four significant figures separated by a comma. L.bPart A - Orientation of the planes of maximum and minimum normal stressDetermine the orientation of the planes of maximum and minimum normal stress, Op1 and p2, respectively.Use the value for Op2 that is negative. Then use this value to determine the value of Op1. Part B - In-plane principal stressesDetermine the in-plane principal stresses for the element (as oriented in Part A), and calculate 01 and σ2 suthat they correspond with Op1 and p2Express your answers to four significant figures separated by a comma.▸ View Available Hint(s)01, 02=SubmitΜΕ ΑΣΦ Η vec?MPa, MPaPart C - Orientation of the element subjected to maximum shear stress on its sidesDetermine the orientation, s2, of the element subjected to maximum shear stress on its left and right sides.Use the value for $2 that is positive.

Question

Learning Goal:To determine the in-plane principal stresses and maximum shear stress along with their orientations and the average normal stress for an element in a given state of plane stress.The element of material below is subjected to the state of stress shown, where a = 102.0 MPa , b = 62.00 MPa , and c = 28.00 MPaMPa .(Figure 1)Part A - Orientation of the planes of maximum and minimum normal stressDetermine the orientation of the planes of maximum and minimum normal stress, θp1��1 and θp2��2, respectively.  Use the value for θp2��2 that is negative. Then use this value to determine the value of θp1��1.Express your answers to four significant figures separated by a comma.View Available Hint(s)for Part A   Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type  θp1, θp2��1, ��2 =nothing∘, ∘∘, ∘ SubmitPart B - In-plane principal stressesDetermine the in-plane principal stresses for the element (as oriented in Part A), and calculate σ1�1 and σ2�2 such that they correspond with θp1��1 and θp2��2.Express your answers to four significant figures separated by a comma.View Available Hint(s)for Part B   Activate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type  σ1, σ2�1, �2 =nothingMPa, MPaMPa, MPa SubmitPart C - Orientation of the element subjected to maximum shear stress on its sidesDetermine the orientation, θs2��2, of the element subjected to maximum shear stress on its left and right sides. Use the value for θs2��2 that is positive.Express your answer to four significant figures and include the appropriate units.View Available Hint(s)for Part C   Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type θs2��2 =nothingnothing SubmitPart D - Maximum in-plane shear stress and average normal stressDetermine the maximum in-plane shear stress and the average normal stress acting on an element oriented as determined in Part C.Express your answers to four significant figures separated by a comma. L.bPart A - Orientation of the planes of maximum and minimum normal stressDetermine the orientation of the planes of maximum and minimum normal stress, Op1 and p2, respectively.Use the value for Op2 that is negative. Then use this value to determine the value of Op1. Part B - In-plane principal stressesDetermine the in-plane principal stresses for the element (as oriented in Part A), and calculate 01 and σ2 suthat they correspond with Op1 and p2Express your answers to four significant figures separated by a comma.▸ View Available Hint(s)01, 02=SubmitΜΕ ΑΣΦ Η vec?MPa, MPaPart C - Orientation of the element subjected to maximum shear stress on its sidesDetermine the orientation, s2, of the element subjected to maximum shear stress on its left and right sides.Use the value for $2 that is positive.

Accepted Answer

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