3) The element is subjected to the state of stress shown below. Write the stress in...
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...
Consider a point in a structural member that is subjected to plane stress. Normal and shear stresse acting on horizontal and vertical planes at the point 8.4 MPa are shown in the figure 44.8 MPa a) Draw Mohr's circle for this state of stress b) Determine the principal stresses and the maximum in- plane shear stress acting at the point. Show these stresses in an appropriate sketch. c) 60.5 MPa
Part 1 Correct Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Assume B-70° , s, 30 MPa, S, 55 MPa, and Sy- 95 MPa Sx ty Construct Mohr's circle for this state of stress on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this Mohr's circle, point x, which represents...
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
PLEASE SHOW ALL STEPS! 4. The stress element on the fuselage of an airplane shown below is Gx 400 MPa; Oy -300 MPa; and Txy 200 MPa (clockwise). a. Draw the initial stress element showing the stresses acting on it. b. Showing your X and Y coordinate points clearly, draw the complete Mohr's circle on the attached graphing paper From the Mohr's circle, determine Gmax, Omin, and Tmax c. d. Draw the complete principal stress element. Draw the maximum shear...
with drawings Question 4 (CLO5) (6 points) The state of the stress at a point is shown on the element. Determine the following: (a) The principal stresses, and the corresponding orientation of the element (b) The maximum in-plane shear stress and the associated average normal stress at the point. Show the corresponding orientation of the element. (c) Using Mohr's circle (only), determine the stress components at the same point on another element oriented 30° counterclockwise from the position shown. Draw...
4) Consider a state of plane stress in the element shown in Fig 4 below; a) determine the average stress and maximum shearing stresses; b) draw the complete Mohr's Circle, c) find the angle, Op., and d) draw the orientation of the element for principal stresses. 0 -140 MPa 0 205 MPa Tx - 100 MPa Fig. 4
Problem 1 - Mohr's circle for plane stress For the given state of stress,[30 complete following: pts. 1. Draw Mohr's circle showing the principal stresses (max & min), center points (C) and radius R. (20 pts.] 60 MPa 180 MPa NMP MPa 2. Determine the principal planes (20and ) and the maximum in-plane shear stress (max). What is the corresponding normal stress (O") for this maximum in-plane shear stress? [10 pts.)
. Consider the element shown. Determine the state of stress with respect to an element oriented 22.5° CCW with respect to the element shown. (b) Find the principal stresses. (c) Find the principal planes. (d) Find the maximum shear stresses. (e) Find the maximum shear-stress planes. (f Sketch all the above stresses on appropriately oriented 560 kPa 2100 kPa planes using a ray diagram. 300 kPa (g) Draw Mohr's circle for the element and indicate items (a) - (e) on...