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Forces P and Qx are applied at point C of the rectangular plate. A 45-degree strain rosette installed on the surface at point A indicates ɛ, = -60 x 10“ in/in, ɛ, = +240 x 10ʻ in/in and ɛ, = +200 x 10“ in/in. If E = 29 x 10° psi and v= .30, calculate the magnitudes of P and Qx. %3D %3D %3D 1 in 1 in Qx 12 in 3 in 3 in 3.45 deg 45 deg.

Forces P and Qx are applied at point C of the rectangular plate. A 45-degree strain rosette installed on the surface at point A indicates ɛ, = -60 x 10“ in/in, ɛ, = +240 x 10ʻ in/in and ɛ, = +200 x 10“ in/in. If E = 29 x 10° psi and v= .30, calculate the magnitudes of P and Qx. %3D %3D %3D 1 in 1 in Qx 12 in 3 in 3 in 3.45 deg 45 deg.

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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Forces \( P \) and \( Q_x \) are applied at point \( C \) of the rectangular plate. A 45-degree strain rosette installed on the surface at point \( A \) indicates: - \( \varepsilon_1 = -60 \times 10^{-6} \) in/in, - \( \varepsilon_2 = +240 \times 10^{-6} \) in/in, - \( \varepsilon_3 = +200 \times 10^{-6} \) in/in. Given that \( E = 29 \times 10^6 \) psi and \( \nu = 0.30 \), calculate the magnitudes of \( P \) and \( Q_x \). ### Diagram Explanation The diagram illustrates a rectangular plate positioned vertically, with dimensions of 12 inches in height and a base of 3 by 3 inches. Forces are applied at the top point \( C \) along the y-axis (\( P \)) and x-axis (\( Q_x \)). A strain rosette is attached at point \( A \) near the base, oriented at 45 degrees to the principal axes to measure strain. The coordinate system (\( x, y, z \)) is shown, indicating the orientation of forces and measurements.
Transcribed Image Text:Forces \( P \) and \( Q_x \) are applied at point \( C \) of the rectangular plate. A 45-degree strain rosette installed on the surface at point \( A \) indicates: - \( \varepsilon_1 = -60 \times 10^{-6} \) in/in, - \( \varepsilon_2 = +240 \times 10^{-6} \) in/in, - \( \varepsilon_3 = +200 \times 10^{-6} \) in/in. Given that \( E = 29 \times 10^6 \) psi and \( \nu = 0.30 \), calculate the magnitudes of \( P \) and \( Q_x \). ### Diagram Explanation The diagram illustrates a rectangular plate positioned vertically, with dimensions of 12 inches in height and a base of 3 by 3 inches. Forces are applied at the top point \( C \) along the y-axis (\( P \)) and x-axis (\( Q_x \)). A strain rosette is attached at point \( A \) near the base, oriented at 45 degrees to the principal axes to measure strain. The coordinate system (\( x, y, z \)) is shown, indicating the orientation of forces and measurements.
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