0 The state of stress at a point in a body is specified by the following...
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:...
1) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
16. The stress state in a two dimensional body, in which the only non-vanishing stress components are a single pair of shearing stresses is called simple shear. Take σ12 σ21 and all other components of σ equal to zero. (a) Find the principal values and principal directions of this stress state. (b) Find the maximum shearing stress and planes on which it acts.
The state of plane stress at a point on a body is represented by the element below. 14 MPa y 12 MPa K. 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 Opi: 0 number (rtol=0.01, atol=1e-05) Opl in-plane Determine the magnitude of the maximum in-plane shear stress Tmac Terima 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. 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
Question # 2 110 marks t45 MPa For the state of plane stress shown in the figure: a Construct Mohr's circle (4 marks), b- Determine the principal stresses (2 marks), Determine the directions of principal planes (2 marks), d- Determine the maximum shearing corresponding normal stress (2 marks). a-80 MPa C- stress and the
Consider the given state of stress. Take X = 10 MPa and Y = 45 MPa. Determine the principal planes using Mohr's circle. a) The principal planes are at − ° and °. Determine the principal stresses using Mohr's circle. b)The minimum principal stress is − MPa, and the maximum principal stress is MPa. Determine the orientation of the planes of maximum in-plane shearing stress using Mohr's circle. c) The orientation of the plane of maximum in-plane shearing stress in the first quadrant is °....
Question 1: The state of plane stress shown occurs at a critical point of a steel (@y 250MPa ) machine componenL 60 MPa Draw the Mohr's Cercle Determine the Principal Stresses Deternine the factor of safety with respect to yield, using (a) the maximum-shearing stress criterion, and (b) the maximum-distortion-energy criterion. 90 MPa 25 MPao
Problem 1: Determine the principal stresses and corresponding principal stress planes for the state of stress given by 2 0 -2 Show the three principal directions are orthogonal to each other. Express the principal stress direction Problem 2: Transform the stress tensor in Problem 1 toxyz'coordinate system. The direction cosines of the x'; y'and z' axes are respectively0nd0, V5V5
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