### Transcription for Educational Website#### Stress Transformation ProblemThe problem is about determining the stress state on a rotated element. **Context:**- **Stress State:** The stress at a point in a member is depicted on a rectangular stress element.- **Figure Reference:** Figure 6 shows the stress configuration.- **Given Stresses:** - \(|\sigma_x| = 31 \text{ ksi}\) - \(|\sigma_y| = 38 \text{ ksi}\)**Task:**- Determine the stress state \((\sigma_x', \sigma_y', \tau_x'y')\) on an element rotated such that the \(+\text{x}'\) axis is 30° below the \(-\text{x}\) axis of the original stress element.- Provide your answers rounded to three significant figures, separated by commas.**Input Box:**- Answers should be entered in the format: \(\sigma_x', \sigma_y', \tau_x'y'\) (in ksi).#### Figure DescriptionThe accompanying figure illustrates a square element experiencing stresses, with:- \(\sigma_x\) shown as a horizontal arrow pointing outward from the right face.- \(\sigma_y\) shown as a vertical arrow pointing outward from the top face.- These arrows indicate the directions and relative magnitudes of the applied stresses on the element. ### Instructions1. Understand the given stress conditions.2. Use stress transformation equations to compute the rotated stresses.3. Input your answers in the provided format and submit.### Additional Resources- [View Available Hint(s)](link to hints) for guidance on solving the problem.

So angle is clockwise and θ=-30°σx=31ksiσy=-38ksiτxy=0Using Transformation of stresses equations:σx'=σx+σy2+σx-σy2cos2θ+τxysin2θσx'=31-382+31+382cos2(-30)+0sin2(-30)σx'=13.75ksiσy'=σx+σy2-σx-σy2cos2θ-τxysin2θσy'=31-382-31+382cos2(-30)-0sin2(-30)σy'=-20.75ksiτx'y'=-31+382sin2(-30)-0cos2(-30)τx'y'=29.88ksi

Engineering

Civil Engineering

The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6) where the magnitudes of the stresses are l0z| = 31 ksi and lo, = 38 ksi. Determine the state of stress on an element rotated such that the +z' axis is 30° below the -z axis of the original stress element. Express your answers, separated by commas, to three significant figures. View Available Hint/s)

The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6) where the magnitudes of the stresses are l0z| = 31 ksi and lo, = 38 ksi. Determine the state of stress on an element rotated such that the +z' axis is 30° below the -z axis of the original stress element. Express your answers, separated by commas, to three significant figures. View Available Hint/s)

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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