Question: Consider the plane stress element shown in Fig. 14.74 representing the state of stress at a material point. If the magnitudes of the stresses are

Consider the plane stress element shown in Fig. 14.74 representing the state of stress at a material point. If the magnitudes of the stresses are such that x=200 Pa,y=100Pa, and xy=50Pa, (a) calculate the magnitudes of principal stresses 1 and 2, and the maximum shear stress, max, generated at this material point. (b) if the material is Titanium with yield strength Sy=800MPa, will the material break using the Normal Stress Theory? (c) repeat (b), but with the use of the Maximum Shear Stress Theory. (d) repeat (b), but with the use of the Distortion Energy Theory

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

Amy is domiciled in the UK and has lived in the UK all her life. On 1 January 2020 she leaves to work in Australia for two years, returning on 31 December 2021. During her absence she makes no visits...

Consider the plane stress element shown in Fig. 14.74 representing the state of stress at a material point. If the magnitudes of the stresses are such that x=200 Pa,y=100Pa, and xy=50Pa, (a)...

15. (10 pts) Consider the stress element representing the state of stress at a point in the material shown below. If the magnitudes of stress are = 15 MPa, B = 25 MPa, and t = 20 MPa, draw Mohr's...

Summarize this for me Someone who understand MEA and HEA very well. And please make sure the summary is 2 pages . no less than 2 pages plz thanks Effects of temperature on mechanical properties and...

Learning Goal: The method of calculating the state of stress on an inclined plane is tedious, prone to error, and incomplete - if we calculate x ' and x ' y ' , we have to do a separate calculation...

Question 3 The principal stresses at a material point in the state of plane stress are 8 MPa and - 2 MPa. What is the magnitude of the maximum shear stress in MPa. Question 4 The principal stresses...

1. Fig. 1 shows the state of stress at point P on the surface of a cloth under the action of wringing. Obtain the equivalent state of stress on an element at the point which represents: (a) the...

A material point in plane stress state is represented by a triangular differential element as shown in Fig. 2 . The right face is vertical and the other two faces are inclined. The stress components...

Summarize this for me. Someone who understand the HEA and MEA perfectly and also the summary should be 2 or over 2 pages. Someone who understands this perfectly A scrap-tolerant alloying concept...

and considering a design factor of safety of n d = 2 . 5 , determine the maximum magnitude of F that can be applied on the hand crank by using the MSS theory. Problem 1 ( 2 0 points ) . The figure...

P 3 Ans: ( a ) - 5 7 0 4 . 1 1 , 0 , 8 4 0 5 . 1 4 , ( b ) 6 0 2 3 . 7 9 , - 1 1 7 2 7 . 9 1 , ( c ) 5 . 9 8 , 4 . 2 6 ; 2 . 4 9 , ( e ) - 4 9 5 1 1 . 7 , 0 , - 6 8 8 4 . 0 5 , ( f ) 9 3 9 . 3 3 , -...

The heat of vaporization of carbon disulfide, CS2, at 25oC is 27.2 kJ/mol. What is the entropy change when 1.00 mol of vapor in equilibrium with liquid condenses to liquid at 25oC? The entropy of...

Indicate whether each of the following statements is (i) always true, (ii) sometimes true, or (iii) never true. For those that are (ii) sometimes true; explain when the statement is true. a. All...

You have just received a windfall from an investment you made in a friend's business. He will be paying you $ 5 0 , 0 0 0 at the end of this year, $ 6 0 , 0 0 0 at the end of the following year, and...

Submit You type out a few sentences in an MS Word file, and save it on your desktop. How is this data stored in the computer? A . As a combination of 1 s and 0 s B . As a combination of letters C ....

2. In times of inflation, the governments budget deficit is because government expenditure includes the interest payments on government debt. a. overstated, nominal b. overstated, real c....

1. Throughout U.S. history, the most common cause of large increases in government debt has been a. recessions, which cause tax revenue to decline. b. supply-side policies that promote growth with...

6. List three policy rules that the Fed might follow. Which one would you support? Why?