### Understanding Principal Stresses#### Problem Statement:Consider the element in with \( \tau_{xy} = 30 \, \text{MPa} \).#### Diagram Explanation:The diagram shows a two-dimensional stress element with the following details:- A central square representing the material element.- Vertical arrows labeled "80 MPa" indicating compressive normal stress acting on the top and bottom surfaces.- Horizontal arrows labeled "τ_{xy}" indicating shear stress of 30 MPa acting on the sides of the element.#### Part A: Determining Principal StressesYour task is to determine the principal stresses.- Enter your answers in megapascals to three significant figures, separated by a comma.#### Input:- A field is provided to enter the two principal stresses \( \sigma_1 \) and \( \sigma_2 \).#### Action:- Click "Submit" to check your answers or "Request Answer" for assistance.---This section helps students understand how to extract stress components from a diagram and calculate principal stresses, an important concept in mechanics of materials. ## Part B### TaskSpecify the orientation of the principal plane. Choose the angle from the half-interval (-90°, 90°).### InstructionsExpress your answer in degrees to three significant figures.#### Input Area- **Variable:** θp1 - **Input Box:** Allows for numerical input of the angle in degrees.**Buttons Available:**- `vec`: A button for function or operation selection.- Additional symbols and operations may be provided in the interface.#### Submission- **Submit Button:** Confirm your input after entering the angle.- **Request Answer:** Option to request the correct answer if unsure.## Part C### TaskDetermine the maximum in-plane shear stress and average normal stress.### InstructionsEnter your answers in megapascals to three significant figures separated by a comma.#### Input Area- **Variables:** - τmax in-plane - σavg- **Input Box:** Allows for numerical input of the stresses, separated by a comma.**Buttons Available:**- `vec`: A button for function or operation selection.- Additional symbols and operations may be provided in the interface.#### Submission- **Submit Button:** Confirm your input after entering the stresses.- **Request Answer:** Option to request the correct answer if unsure.

Answered: Image /qna-images/answer/d02f0208-8e3b-44c3-b1de-917289ef85b2.jpg

Answered: Consider the element in with Tay = 30…

Engineering

Civil Engineering

Consider the element in with Tay = 30 MPa. 80 MPa Part A Txy

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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