Q4/ Draw the mohr's stress circle or the element of the beam as shown in Fig. 4, and determine the principal stresses, the principal planes (p), and the maximum shear stress. Also, find o, o, and try on element obtained by rotating the given element counterclockwise through 30°. Fig. 4 a=60 MPa T=48 MPa 0,-100 MPa

Q4/ Draw the mohr's stress circle or the element of the beam as shown in Fig. 4, and determine the principal stresses, the principal planes (p), and the maximum shear stress. Also, find o, o, and try on element obtained by rotating the given element counterclockwise through 30°. Fig. 4 a=60 MPa T=48 MPa 0,-100 MPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.3.1P: The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the...

See similar textbooks

Similar questions

.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.
Q2. Draw Mohr circle for the given stress state Find o1, 6, and R (Tmax) Txy = 40 MPa o, = 50 MPa o, = 30 MPa
State of stress at the wall and the roof of the following circular opening bafore the excavation is (a] = |0 4. Find the induced stress components at point a. R W with respect to the given x-y coordinate systerm, and expresst them in the matrix form. b. Find the total stresses at point W, and give them in matrix form. c. Repeat (a) and (b) for the roof. d. Find the stresses oy, Ciy, and tyy at point A which is located at a radial distance twice the radius of the tunnel.
Problem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.
3. Listed below is a combination of stresses acting at a point and referred to axes x and y in an elastic material. Using Mohr’s circle of stress determine the principal stresses at the point and their directions for each combination. 1}sigmax -60 n/mm2 , sigmay -36n/mm2 ,TAUxy=5n/mm2 2}}sigmax 30 n/mm2 , sigmay -50n/mm2, TAUxy= 30n/mm2
b2 h G B M. Q4) For the given system; a) Draw internal force diagrams and determine the most critical section. b) Show the stress distribution on this critical section and find the maximum normal stress. GIVEN: (1 = 50 cm, {2= 30 cm, M, = 5000 Nem, q. = 20 N/cm, bị = 4 cm, b2 = 2 cm, h = 4 cm, t= 1 cm
5. Determine the normal stress and shear stress acting on the inclined plane AB. Scive the problem using the stress transformation equations Show the resut on the sectioned eement, 45 MPa 80 MPa
3. For the state of stress shown below, calculate the principal stresses and maximum shear stress. 60 MPa Txy = 20 MPa 90 mla
Q2) For the state of plane stress given on the element below, construct a Mohr's circle. Use circle to determine (1) the principal stresses, (2) the principal stress direction, (3) the maximum in-plane shear stress and corresponding and normal stress. 100 MPa 150 MPa Tay - 50 MPa
Determine-- 1)maximum in-plane shear stress in Mpa. 2)direction of maximum shear stress in degree. 3)Determine the maximum absolute shear stress in Mpa. The state of plane stress at a point is represented by the element shown in the figure. 0: = 300 Mpa Oy = 450 Mpa Txy Tay = 200 Mpa Click here to see all formulas Ox
6. In a plane stress condition, the components of stress at a point are o, =20 MPa, oy =80 MPa and Txy 40 MPa. The maximum shear stress (in MPa) at the point is (A) 20 (B) 25 (C) 50 00T (a)
The state of plane stress at a point is represented by the element shown in the figure. Oy o, = 200 Mpa oy = 450 Mpa Txy Try 3D200 Мра Click here to see all formulas Ox Part A - Determine the maximum principal stress in Mpa. O 253 О 355 O 507 O 760 O 608 Submit Request Answer O O O O O