The components (T ) are given by
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- The state of stress at a point on an element of material is shown. Let sigmaX= 49.0 ksi, sigmaY= 17.0 ksi, and Txy= 11.0 ksi. Use this information to represent the principle state of stress and maximum in plane shear stress. Plot the mohr circle and state sigmaX' and sigmaY' and Tx'y' with unit. Also draw the state of stress on the rotated element.1. Given a combination of stresses on an element shown in the figure, (a) draw a Mohr's circle representing the complete state of stress of the element, i.e. show prinicpal stresses (01,02), maximum shear stresses (Tmax), principal direction (0p), original orientation, and original stresses (Ox, Oy, Txy). (b) draw three-dimensional Mohr's circles showing the three principal stresses and absolute maximum shear stress. Oy = -50 MPa Txy 20 MPa Ox = -150 MPa(b) Mohr's circle, invented by Christian Otto Mohr, is a graphical representation of the transformation law for the stress system. Use Mohr's circle to determine the stresses on an element inclined at 30° clockwise to the state of plane stress system as shown in Figure 1 and show the corresponding stress elements. Q2 (a) It is important im 80 MPa 50 MPa Ľ 50 MPa Figure 1 80 MPa 25 MPa
- Q: The soil element with known stress conditions is shown in following figure. (i) construct Mohr's circle for the soil element and determine (ii) stress condition of the plane AC (use double angel method); (iii) major and minor principal stresses; (iv) the angle between major principal plane and the plane "AD" ; (v) maximum shear stress. Provide your answer up to one decimal point. [use graph paper to draw Mohr's circle] 2 kN/m² 6 kN/m² + + B D 2 kN/m² 2 kN/m²The state of stress at a point on a thin plate is as shown in the left side of the Figure below. Determine the state of stress (ox, oy, txy) represented on the element oriented as shown on the right. 120 Sigma_x^prime (MPa) 200 Sigma_y^prime (MPa) 60 Tau_xy^prime (MPa) 30 Alpha (degrees) O x' Oy Txy' Txy OxSolve parts (a) to (c) using transformation equations only (not Mohr's circle), and show the complete state of stress with the appropriate stress element properly oriented relative to the given xy coordinate system. Given the state of plane stress shown, (a) determine the state of stress for an element oriented 20° clockwise relative to the given xy coordinate system. (b) determine the state of stress for the element containing the principal stresses. (c) determine the state of stress for the element containing the maximum in- plane shear stresses. (d) determine the state of stress for the element containing the maximum shear stresses. (e) draw Mohr's circle indicating the states of stress and angular orientation found in parts (a) to (c). - 8 MPa 40 MPa 12 MPa x
- The state of stress at a point in a machine component is given by ox = 120 MPa, oy = 55 MPa, Oz = -85 MPa, Oxy = -55 MPa, Oxz = -75 MPa, and oyz = 33 MPa. Construct the Mohr's circles of stress for this stress state and find the maximum shear stress.The 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.The internal loadings at a section of the beam in (Eigure 1) are shown Figure 20 mm 100 mm 200 mm 20 mm 10 kNm 20 mm 10/12 60 kN 80 KN 500 N-m Determine the in-plane principal stresses at point C. Also compute the maximum in-plane shear stress at this point Express your answers, separated by commas, to three significant figures. VAZ Ivec 4 d Submit Provide Feedback T Wha Bequest Answer ? MPA, MPA, MPA
- Calcuate Bending From Point A to Point B and Point A to Point C, Calcuate torsion From Point A to Point C. Draw a FBD from point A to point B and another for point A to C indicating what stresses are been calculate. Use the stress tensor and stress cube to Indicate what forces are acting at point A. Force apply at point B is 70lb Distacen from Point A to B is 12 in or 1 feet long Distacen from Point A to C is 3 in Handle diameter 0.625 inThe 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 vertical y-direction. Also, shear stresses of magnitude 'S (MPa)' act in the directions shown in the figure. Draw Mohr's circle for the state of stress. Determine the stresses (Ox', Oy' and Txy') acting on an element oriented at an angle 'D' from the horizontal Show these stresses on a sketch of an element oriented at this angle X=45MPA,Y=150MPA,S=52MPA,D=-40 Degreeyou can provide handwritten solution also. At a point in a material under stress, the intensity of the resultant stress on a certain plane is 60 N/mm2 (tensile) inclined 30o to normal of that plane. The stress on a plane at right angle to this has a normal tensile component ofintensity 40 N/mm2.Using the Mohr’s circle calculate, resultant stress on the second plane, the principal planes and stress, plane of maximum shear and its intensity.