In a simulation carried out by a team engineers a state of plane stress in a machine base of a workshop was found as shown below. The normal and shear stress components acting on horizontal and vertical planes at the point are shown below. Determine the followings: 1. the principal stresses and the maximum in- plane shear stress acting at the point 2.the presentation of these stresses in an appropriate sketch 55 MPa у 42 MPa X 32 MPa

In a simulation carried out by a team engineers a state of plane stress in a machine base of a workshop was found as shown below. The normal and shear stress components acting on horizontal and vertical planes at the point are shown below. Determine the followings: 1. the principal stresses and the maximum in- plane shear stress acting at the point 2.the presentation of these stresses in an appropriate sketch 55 MPa у 42 MPa X 32 MPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S=600 psi, Sy = 2900 psi, and S 790 psi. (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. (c) Show these stresses on an appropriate sketch (e.g, see Fig. 12.15 or Fig. 12.16) (d) Determine the absolute maximum shear stress at the point. Sy Part 1 Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer: psi R = psi
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, 2750 psi, S, = 1100 psi, and Sy 1950 psi. Assume ß - 53°. (a) Draw Mohr's circle for this state of stress. %3D (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (c) Determine the normal and shear stresses on the indicated plane and show these stresses on a sketch. (d) Determine the absolute maximum shear stress at the point. Sxy Answer: (a) Draw Mohr's Circle for this state of stress. (b) op1- psi Op2 - psi Tmax in-plane psi (c) on psi Tnt psi (d) Tabs max psi eTextbook and Media
At a point in a stressed body, the known stresses are o, = 42MPA (T), o, = 16 MPa (C), o, = 22 MPa (T), ETry = 40 MPa, Tyz 0, and Tex = 27 MPa. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38° 77°, and 55.03° with the x, y, and z axes respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Answers: (a) on = i MPa Tnt = MPa (b) Opl = i MPa Op2 = i MPa Op3 = i MPа Tabs max = i MPa
The state of stress shown below is from the surface of a bar under axial and torsion loading. Calculate the principal stresses and directions (i.e, the value of the angle 0). Draw the state of stress aligned with the principal directions. 60 MPa T 9. 40 MPa 40 MPа
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
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 16 MPa in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the stresses σn, σt, and the magnitude of τnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise).
The state of plane stress at a point is shown on an infinitesimal element below. Determine the stresses at the point on an element that is oriented 65° counter-clockwise from the x, y axes shown. Enter the shear stress on this rotated element Ta'y' (with correct magnitude and sign) in kPa correct to 3 significant digits below. 300 kPa y 400 kPa X 400 kPa 300 kPa
An element in plane stress is subjected to stresses o, = -60 MPa, o , = -40MPA, and Ty = 35MPA, as shown in Fig. a. (1) Determine the principal stresses and show them on a sketch of a properly oriented element; (2) Determine the maximum shear stresses; (3) Sketch the circular relationship of transformed stresses. | 40 MPa 35 MPa 60 MPa
A cantilevered beam is loaded as shown. The cross section at the wall is shown, with points of interest A (at the top), B (at the center), and C (midway between A and B). 200 mm where F= 1.4 kN F B 50 mm 50 mm Cross section at wall NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 12 ksi, Sy = 17 ksi, and Sxy = 18 ksi.(a) Draw Mohr’s circle for this state of stress.(b) Determine the principal stresses (σp1>σp2σp1>σp2) and the maximum in-plane shear stress τmaxτmax acting at the point.(c) Find the smallest rotation angle θpθp (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
A roadway sign that weighs Py = 14 kN is supported by a structural pipe with an outside diameter of 340 mm and a wall thickness of 10.5 mm. Wind pressure on the sign creates a resultant force of P₂ = 21 kN, acting as shown. Using length dimensions of a = 5.4 m and b = 6.3 m, determine (a) the normal and shear stresses at point H. (b) the normal and shear stresses at point K. P₂ Py b H y K
Consider the following plane stress state: Ox=30 MPa, y= -60 MPa, Txy= 30 MPa cw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle Cis ( 2. Principal normal stresses (01, 02) The principal normal stresses are σ₁ = 39.08 3. Maximum shear stress (7) The maximum shear stress is 54.08 MPa. 4. The angle from the x axis to 0₁ (p) The angle from the x axis to 0₁ (p) is -16.85 5. The angle from the x axis to 7 (s) The angle from the x axis to T (s) is 28.15 6. The radius of the Mohr's circle The radius of the Mohr's circle is 54.08. ✰ MPa. MPa and 02 = -69.08 MPa. O -15 MPa, CW CCW O MPa).