For through thickness elliptical crack in an infinite plate, the tensile stress distribution ahead of the crack tip is accurately described by the equation o = when onom X = 1.02 a .in terms of stress intensity factor, the crack tip can be approximated as K 0 = what is the difference between stress distribution of these two equations at √6.4r a distance r=0.02 a ahead of the crack tip?

A rectangular thin plate with Young's modulus 200 GPa and Poisson's ratio 0.30 is subjected to uniform stress distribution at its edges as shown. However it is stated that the dimension b of the plate does not change under the action of stress components , and om Considering microstrains (in 106), the change in the length of dimension a (in mm) is (rounded off to three decimal places) b- 100 mm O= 200 MPa Oyy = 200 mm

At a point in a machine component that is subjected to plane stress, the normal and shear stresses are σx= 100 MPa, σy= 35 MPa, and τxy= 70 MPa, acting in the directions shown in the figure. At this point, determine the strain components εx, εy, εz, and γxy. Assume that E = 72 GPa and v = 0.30 for the machine component.

A solid cylindrical shaft has a diameter of d = 20 mm and is made from steel with an ultimate strength of Su = 850 MPa. For each of the following conditions, determine the safety factor (n) with respect to infinite fatigue life (endurance strength Se) and fracture strength (Sf) at 5 × 10¹ cycles. The loading is applied at room temperature 100 Nm (no axial load or torsion), a cold-drawn surface (a) With a bending moment of M = finish and a reliability of 95%. (b) With a torsional load of T = 200 Nm (no axial load or bending), a ground surface finish and a reliability of 99%. M T T ( M

Problem 1. A material element in plane stress is subjected to stresses: Ox = -7000 psi Oy = -3000 psi = -4000 psi Txy а) Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. b) Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02 c) Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax- d) Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element

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Based in the table 1.1) Develop a best-fit equation for the relationship between stress and strain. Employ Naïve–Gauss elimination method whenever necessary.S=______+______e + _______e2 2) Determine the coefficient of determination for the equation. R2 =_______ 3) Calculate the stress value to the most accurate value at strain value 0.53.s = _______Pa4) The yield point is the point on a stress–strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05% e =_______ 5) The ultimate strength is the maximum point on the stress–strain curve. This corresponds to the maximum stress that can be sustained by a structure in tension. Compute the ultimate strength point of the polymeric material (strain value that gives maximum stress). In any relevant method, use a stopping…

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