Question

2) Starting with the stress transformation equations in 2D a) Find the angles at which ơxx, ƠyyMy have their maximum and minimum values b) Show that the locus of points x = ơn, y ơxy for fixed ơxx , Ơyy, Ơxy and variable θ describes a circle with center at x =-(oxx + Ơyy), y = 0 and radius R J: (ơm ơyy)2 + 05, (This is Mohrs circle). Draw this circle and label the points corresponding to the angles found in part a. c) Show that R and 1 (Oxx + Ơyy) are function of the invariants of the stress.
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
2) Starting with the stress transformation equations in 2D a) Find the angles at which ơxx,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • help on these Question 24 2 pts If a plane (2D) stress state in the x-Yplane...

    help on these Question 24 2 pts If a plane (2D) stress state in the x-Yplane gives a Moh's Circle and the two related points of corresponding to xpianeand (corresponding to y plane as shown below. X C(1,0) MO 26,6° R = 2.24 N Y Knowing the center for the Mohr's circle is C (1.00 MP.OMPal and the radius R-224 MPa, which of the following gives normal stress for the plane for along the original and 5,= CNC-26.6 = 1.00...

  • need help with these 4 questions Question 20 2 pts If a plane (2D) stress state...

    need help with these 4 questions Question 20 2 pts If a plane (2D) stress state in the x-plane gives a Moh's Circle and the two related points at corresponding toxplane) and corresponding to y plane as shown below. TA C(1,0) 26.6° MIO IN R = 2.24 Y Knowing the center for the Mohr's circles C11.00 MPa,OMPal and the radius R-224 MP how to find the direction in real geometry along which the normal stress reaches madu Within the plane...

  • 7 of 15 6-of-9 Problem 4 (35 Points) The rod has a diameter of 40 mm....

    7 of 15 6-of-9 Problem 4 (35 Points) The rod has a diameter of 40 mm. It is subjected to the force and moment system shown. (a) (15 points) Determine the stress components that act at point B. Show the results on a volume element below located at this point. (b) (10 points) Assume that the stress components at point A are given by Ox = -37 MPa, y = 0 MPa, Try = - 8 MPa. Draw a Mohr's...

  • Please draw each point PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16...

    Please draw each point PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...

  • BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3)....

    BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3). Note that the distance between two points with the same r coordinate but separated by an infinitesimal step do in 0 is r do (by the definition of angle). So there are (at least) two ways to define a basis vector for the direction (which we define to be tangent to the r = constant curve): (1) we could define a basis vector es...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT