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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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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