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- An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the \y axes, that is, determine crv, tr(_, and t, Show the results on a sketch of an clement oriented at B .An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
- For the stresses of plane stress state is ?? = −8 ??? , ?? = 7 ??? and??? = −6 ???Draw a Mohr’s circle diagram.Draw stress element for the given stressesFind the principal normal and shear stresses, and determine the anglefrom the x axis to ?1Draw the stress element for the principle stress.Using stress transformation, find the principle stresses and the angle of ?1Determine the stress transformation for the angle ∅ = 25° #Answer all in detailFor the two-dimensional stress fi eld shown in Fig. it isfound thatσxx = 3000 lbf/ft2 σyy = 2000 lbf/ft2σxy = 500 lbf/ft2Find the shear and normal stresses (in lbf/ft 2 ) acting onplane AA cutting through the element at a 30° angle asshown.The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 55 MN/m2 tension respectively. The shear stress across these planes is 25 MN/m2 (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 25o to the plane of greater principal stress. And also verify the answer by drawing the Mohr’s circle.
- The principal stresses at a point across two mutually perpendicular planes are 70 MN/m2 tension and 50 MN/m2 tension respectively. The shear stress across these planes is 30 MN/m? (Counter clockwise). Determine the magnitude of the normal, tangential, the resultant stress, and inclination of resultant stress on a plane inclined at 30° to the plane of greater principal stress. And also verify the answer by drawing the Mohr's circle.A hydraulic system is used to apply a force in an external fixation device to hold brokenends. The piston of this hydraulic ram is 30 cm in diameter and the water pressure is 3 MN/?2 Determine The stress in the piston rod which has dimeter of 4 cmConsidering the original state of stress as shown in figure below and recalling the already developed equations for normal and shear stress at an angle Ɵ c.c.w from x-axis, mathematically prove that the planes of maximum in-plane shear stress are inclined at 45o to the principal planes.
- A rectangular block of material is subjected to a shear stress of 30MN/m2 together with it's associated complementary shear stress. Determine the magnitude of the stresses on a plane inclined at 30 degrees to the directions of the applied stresses,which may be taken as horizontalAt a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy= -40 MPa, sigma zz = 20 MPa, tau xy = -40 MPa, tau yz = 20 MPa, and tau zx= 30 MPa. Determine: (a) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n, x) = 0.429 ; cos (n, y) = 0.514; cos (n, z) = 0.743The cross-sectional area of bar ABCD is 600 mm2. Determine the maximum normal stress in the bar. Express your answer in MPa.