Problem 6 Given: A plane element in a body is acted upon by combined stresses as shown below: 40 MPa 10 MPa 15 MPa →30 MPa Required: a) Determine the Principal stresses. b) What is the maximum shear stress? c) What is the angle between the original plane of stress and the maximum principal stress?
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- The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 19N/mm2, find the maximum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 17N/mm2, find the maximum shear stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm2. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Txy 10 N/mm2The state of stresses in the x and y directions at a point in a given material is shown in the figure below. If the value of the shear stress in the x-y axes Ty is 11 N/mm², find the minimum direct stress that can be found at this point in any possible direction. Round off your answer to the nearest N/mm?. If the answer is negative do insert the "-" sign. 10 N/mm2 Txy 20 N/mm2 20 N/mm2 Ixy 10 N/mm2
- Question 5 [Similar to Problem 9-17] Consider the following figure showing state of stress at a given point in a structural or machine element. Identify normal and shear stresses acting on the element. Find principal stresses. Show the orientation of the element on which the principal stresses act. Find maximum in-plane shear stresses. Find associated normal stresses. Show the orientation of the element on which these stresses act. 150 MPa 50 MPa 100 MPa Moch onios of MotoriolsQUESTION 3 At a point in a piece of elastic material, there are three mutually perpendicular planes on which the stresses are as follows: tensile stress 50N/mm2 and shear stress 40N/mm² on one plane, compressive stress 35 N/mm² and complementary shear stress 40 N/mm? on the second plane, no stress on the third plane. Find a) The principal stresses and the positions of the planes on which they act. b) The positions of planes on which there is no normal stress Show all calculation and drawings fullyQ3 / An element in plane stress at the surface of a large machine is subjected to stresses shown below. Using Mohr's circle determine the following quantities (a) the principal stresses and their directions and (b) the maximum shearing stresses and the directions of the planes on which they occur. 100 MPa 50 MPa 75 MPa 75 MPa 50 MPa 100 MPa
- The state of stresses at a point in a given engineering component is that shown in the figure below: there is a direct stress of 20 N/mm2 in the x direction, no direct stress in the y direction and no shear stress in the x-y directions. Which of the following statements is correct? 20 N/mm? 20 N/mm? There is no shear stress in any direction. The maximum shear stress will take place at 45 degrees and will have a value of 10 N/mm2. The direct stress and the shear stress at various angles will always add up to 20 N/mm2. There will be shear stress at different directions ranging from 0 to 20 N/mm2 OO O OThe stresses shown in the figure act at a point on the free surface of a machine component. If o= 45 MPa in the direction shown, determine the normal stress oy at the point. Ox 27 MPa 30° 50 MPa O-16.3 MPa O-19.5 MPa O-22.8 MPa O-17.2 MPa O -20.5 MPaThe failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0, calculate the maximum load in N that the bar can support. A 12500*pi B 6250*pi 3125*pi 1563*pi
- At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are are follows: tensile stress 50 N/mm2 and shear stress 40 N/mm2 on one plane, compressive stress 35 N/mm² and complementary shear stress on the third plane. Find : (a) the principal stresses and the positions of the planes on which they act, (b) the positions of the planes on which there is no normal stress.3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600