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Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi

Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi
Transcribed Image Text:Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi
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