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90 MPa 55 MPa 70 MPa 55 MPa 90 MPa 65° TE 70 MPa The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (σx, Øy, Txy) and what is the angle of rotation (0)? Make sure your signs are correct. b) Using the equations of stress transformation, determine d', dyr, and Tx'y and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation?

90 MPa 55 MPa 70 MPa 55 MPa 90 MPa 65° TE 70 MPa The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (σx, Øy, Txy) and what is the angle of rotation (0)? Make sure your signs are correct. b) Using the equations of stress transformation, determine d', dyr, and Tx'y and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter12: Electric Current And Related Variables In Engineering
Section12.1: Electric Current, Voltage,and Electric Power
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90 MPa 55 MPa 70 MPa 70 MPa 55 MPa -90 MPa 65° The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (x, y, Txy) and what is the angle of rotation (0)? Make sure your signs are correct. b) Using the equations of stress transformation, determine x, y, and Txy and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation? d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
Transcribed Image Text:90 MPa 55 MPa 70 MPa 70 MPa 55 MPa -90 MPa 65° The state of stress on an element relative to the xy-axis is presented above. The element is to be reoriented as shown. a) What are the components that describe its original state of stress (x, y, Txy) and what is the angle of rotation (0)? Make sure your signs are correct. b) Using the equations of stress transformation, determine x, y, and Txy and draw these components of stress on the rotated element. c) What are the principal stresses and angles of the principal planes? What is the shear stress associated with this orientation? d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
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d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
Transcribed Image Text:d) What is the maximum in-plane shear stress and the angle of its associated plane? What are the associated normal stresses in this orientation? e) What is the absolute maximum shear stress and what plane (xy, xz, or yz) does this stress act upon?
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