Time l Which of the following is associated with minimum plastic deformation? O a. Ductile fracture O b. Brittle fracture O c. None of the answers O d. Fatigue
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- A cylindrical metal bar with a diameter of 12.83 mm is applied to a load of 17.8 kN. This loadproduces a reduction in diameter of 7.62 μm. The deformation is purely elastic. Determine thePoisson’s ratio of this material if the elastic modulus is 103.4 GPa?Consider a cylindrical metal 6 mm in diameter and 50 mm long ispulled in tension. It is known that yield strength and elastic (Young’s) Modulus of thematerial are 200 MPa and 100 GPa, respectively, and its Poisson’s Ratio is 0.3.(a) Determine whether the deformation is elastic or plastic when 6000 N is applied.(b) Calculate specimen elongation (∆l) and reduction in diameter (∆d) when 5000 N isapplied? What are the values ∆l and ∆d when the load is released?(c) If necking occurs at a load of 8850 N, determine the UTS of the metal.(d) Calculate the ductility in terms of % E.L. if the length of the specimen at fracturepoint is 56.0 mm.STRENGTH OF MATERIALS. Please show the complete solutions. Rate will be given. Answer in 3 decimal places! The aluminum shaft consists of two segments AB and BC (G=27 GPa). Shaft AB is a solid shaft with a diameter of 60 mm. Shaft BC is a hollow shaft with an outside diameter of 60 mm and an inside diameter d1. If the total angular deformation from A to C is not to exceed 4.30 degrees, solve the value of d2. Express the answer to the nearest even number. Using the value of d1, calculate the amount of shear stress developed in segment BC.
- DURING THE STRESS-STRAIN TEST, THE UNIT DEFORMATION AT A STRESSOF 30 MPa WAS OBSERVED TO BE 110 x 10-6 mm/mm AND AT A STRESS0F 130 MPa IT WAS 520 X 10-6 mm/mm. IF THE PROPORTIONAL LIMITWAS 250 MPa, WHAT IS THE MODULUS OF ELASTICITY? WHAT IS THESTRAIN CORRESPONDING TO A STRESS OF 150 MPa?The interconnected bars were pulled 15.71 mm from the right end and fixed. Bar 1 has a length of 4 m, a cross-section of 1.6 cm^2 and a yield stress of 215 MPa; Bar 2 has a length of 2.9 m, a cross-sectional area of 1.8 cm^2 and a yield stress of 258 MPa^. Since both materials have a modulus of elasticity of 207 GPa and the materials are elastic/perfect plastic:a) What is the plastic elongation of the rod no. 1, in meters?b) What is the elongation of the rod no. 2, in meters?c) How many MPa is the normal stress at the cross section of bar 2?For a bronze alloy, the stress at which plastic deformation begins is 275 MPa (40,000 psi), and the modulus of elasticity is 115 GPa (16.7 x106 psi). (a) What is the maximum load that may be applied to a specimen with a cross-sectional area of 325 mm2 (0.5 in.2) without plastic de- formation? (15pts)(b) If the original specimen length is 115 mm (4.5 in.), what is the maximum length to which it may be stretched without causing plastic deformation?(15pts)
- A 40 mm diameter rod 6 m long elongates 12 mm under a load of 240 kN. The diameter decreased by 0. 028 mm during the loading. a.) Determine the Poisson’s ratio of the materials, b.) Determine the Young’s Modulus of the material, and c.) Determine the modulus of rigidity of the material.A load applied to a machine component results in the state of plane stress ?x=80 MPa, ?y=100 MPa, ?xy=60 MPa. The component is made of a brittle high-strength steel that follows the maximum normal stress criterion with ?u=200 MPa. If increasing the load increases each stress component proportionally, determine the percentage increase that can be applied before the component fails.A steel plate used for polymer forming is to be bent into a circular shape having an inside radius of 10 m. What maximum thickness can be used for the plate if the normal stress is not to exceed 267 MPa? Assume that the modulus of elasticity for the steel is 201 GPa.
- For a bronze alloy, the stress at which plastic deformation begins is 280 MPa, with modulus of elasticityas 115 GPa. What is the maximum load that may be applied to a specimen having a cross-sectional areaof 422 mm2 without plastic deformation? If the original specimen length is 130 mm, find the extendedmaximum length without causing plastic deformation?The aluminum bar ACDB is rigidly connected to a steel tube in CD. The data is presented in the table. If the load P is equal to 125 kN, determine: The stress of aluminum in segment AC. Answ: 63.66 MPa The stress of aluminum in segment CD. Answ: 13.93 MPa The stress in steel in segment CD. Answ: 39.79 MPa The total deformation of the bar. Answ: 0.29273 mmThe following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.