... (b) The state of stress at a point in a member is shown on the element (Figure Q1(b)). Determine: i. the stress components (normal and shear stress) acting on the inclined plane AB and sketch the stress element. ii. the principal stresses and sketch the stress element. A [6 marks] B 45 MPa 45° Figure Q1(b) 80 MPa
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- The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 16 MPa 10 MPаThe Mohr's circle representing a given state of stress is shown. The diagonal line AB represents the original orientation where point A corresponds to the x face and point B corresponds to the y face. a) Show the stresses represented by line AB on the provided stress element. 60 X -30-1 {MPa} y T(MPa) b) Determine the principal stresses and show them on a properly oriented stress A element. y X 40 B 20p 30 40 40A point on a thin plate is subjected to the two stress components as shown in Figure 7. Determine the resultant state of stress represented on the element oriented as shown on the right. “L.. 100 MPa Oy 160 MPa Txy |45° Ox + 30 100 MPa
- The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 15 ksi 23 ksi 14 ksiQ1. For the given cube below, complete the following: 1.find the center, radius (R), principal normal stresses (σ and σ3), max shear stress (Tmax) and draw the Mohr's Circle. 2. Find the stresses on a plane that is rotated 60° clockwise from the horizontal plane. 6PSE IPSF 10pst 60⁰ TOPST IPSF 6PSFThe state of plane stress at a point with respect to the xy-axes is shown in Fig. (a). Using Mohr's circle, determine (1) the principal stresses and principal planes; (2) the maximum in-plane shear stress; and (3) the equivalent state of stress with respect to the x'y'-axes. Show all results on sketches of properly oriented elements. y20 MPa 50° 40 MPa 16 MPa (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 OProblem 2: For the plane stress state listed below, draw a Mohr's circle diagram properly labeled. Keep in mind that the principal stress is that stress state where the shear stress is zero. That means it is the stress state along the normal stress line in Mohr's space. So, use your Mohr's circle to find the principal normal and shear stresses, and determine the angle from the x axis to o1. 0x = 20 kpsi, oy =-10 kpsi, Txy = 8 kpsi cwThe stresses acting on element A in the web of a train rail are found to be ‘X (MPa)’tension in the horizontal x-direction and ‘Y (MPa)’ compression in the verticaly-direction. Also, shear stresses of magnitude ‘S (MPa)’ act in the directions shown inthe figure.a) Draw Mohr’s circle for the state of stress.b) Determine the stresses (σx', σy' and τxy') acting on an element oriented at an angle‘D’ from the horizontal. Show these stresses on a sketch of an elementoriented at this angle (X (MPa)=75) ( Y (MPa)=90) ( S (MPa)=40) ( D ( ˚ )=-10) Note: If the angle D is positive, then the shear stress is in the direction shown onthe unit element figure; if it is a minus sign, then the shear stress is in theopposite direction shown on the unit element figure.
- STRESS TRANSFORMATION MOHR’S CIRCLEI know how to do most of this but not the second half how do I solve it?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