These are easily explained in the following images.
The state of plane stress at a point on a body is represented by the element...
The state of plane stress at a point on a body is represented by the element below. 10 MPa → 21 MPa K өр Determine the principal stresses 01 and 02: 01 = number (rtol=0.01, atol=1e-05) MPa 02 = number (rtol=0.01, atol=1e-05) MPa Determine the principal plane defined by the rotation @p1: o Opl = number (rtol=0.01, atol=1e-05) in-plane Determine the magnitude of the maximum in-plane shear stress Tmaz Irina plane number (rtol=0.01, atol=1e-05) MPa
The state of plane stress at a point on a body is represented by the element below. 16 MPa 24 MPa V Determine the equivalent state of plane stress on an element at the same point that is rotated by 0= -30°. Remember that a negative sign indicates a clockwise rotation and a positive sign indicates a counter-clockwise rotation. 0 = number (rtol=0.01, atol=1e-05) MPa ? Ty number (rtol=0.01, atol=1e-05) MPa ? Ta'y = number (rtol=0.01, atol=1e-05) MPa
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
The compressed-air tank has an inner radius r and uniform wall thickness t. The gage pressure inside the tank is p and the centric axial load F is applied at the end cap. Use p = 1366 kPa, F = 14 kN, t= 12 mm and r = 192 mm. u x ІН F Matlab Mathematica Python R p = 1366; % kPa F = 14; % KN t = 12; % mm r = 192; % mm sigmay =...
23 Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine maximum shear stresses and the orientation, draw the stress element with the proper orientation. Determine principal stresses and the orientation, draw the stress element with the proper orientation (Note: this question is required to be solved using Mohrs circle.) Mohrs circle The state of plane stress at a point is represented by the element shown in Fig. 2.2. Determine...
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
The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
Part A - Normal Stresses, Shear, and Angles The stress element shown in the figure below is subjected to the indicated stresses of magnitude 0,1 = 35 MPa, oyl = 57 MPa, and Tryl = 41 MPa Oy Txy Determine the principal normal stresses 01 and 02, the maximum in-plane shear stress Tmax,in-plane, and the angles at which they occur relative to the given stress element. Follow the sign convention. Suppose that when the element is oriented at an angle...
3. Figure shows a state of plane stress consists of normal stresses 60 MPa and Ly-40MPa; and unknown shear stress, The maximum principal stress was determined to be 104.34 MPa. Using Mohr's cirdle, determine a. the magnitude of the shear stress, b. the principal plane and the minimum principal stress. Then, sketch the element showing all stresses in its proper orientation, c. the maximum shear stress, associated normal stress and the orientation of the element. Then, sketch the element showing...