Find w and T
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Q: A material has a Yield Strength of 424.8 MPa and a UTS of 567.5 MPa. If a medium hard condition for…
A: Solution: Given Data: σy=424.8 MPaσut=567.5 MPa To Find: Working range of stress
find the angular frequency w and the period T
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- A bar of titanium alloy of length 120mm and square cross – section, 7.5 mm x 7.5 mm, is pulled axially by a force of 15 kN. Find the percentage decrease in thickness if E = 106 GN/m2 and v = 0.33 m/s. V= velocity A bar of aluminum alloy of rectangular section75 mm x 20 mm and 800 mm long is stretched by an axial force of 150 kN. Find the volumetric strain, the actual change in volume and the percentage reduction in cross – sectional area of the bar. Take E = 70 GN/m2 and v = 0.34 m/s.V=velocityOne spring is placed inside the other, not touching each other, and compressed between a pair of parallel plates until the distance between the plates is 40 mm. Make a neat detailed sketch of the spring and plate assembly. If G = 83 GPa for both springs, calculate the following: 1. The force applied to the spring assembly. 2. The shear stress induced in each spring. 3. The total strain energy stored in the spring assembly. 4. The stiffness of each spring. 5. The equivalent stiffness of a single spring that can be substituted in place of these springs.The data below are for a thin steel wire suitable for use as a guitar string. Ultimate tensile stress: 1.8 x 109 Pa Young Modulus: 2.2 x 1011 Pa Cross-sectional area: 2.0 x 10-7 m2 In a tensile test, a specimen of the wire, of original length 1.5 m, is stretched until it breaks. Assuming the wire obeys Hooke’s law throughout, calculate the extension of the specimen immediately before breaking.
- Bar A has a cross-sectional area of 0.04 m2, modulus of elasticity E = 70 GPa, and coefficient of thermal expansion α = 14E‐6 C-1. Bar B has a cross sectional area of 0.01 m2, modulus of elasticity E = 120 GPa, and coefficient of thermal expansion α = 16E‐6 C-1. There is a gap b = 0.4 mm between the ends of the bars. What minimum increase in the temperature of the bars above their initial temperature T is necessary to cause them to come into contact?A steel column is a cylinder 6.8 m long and 0.35 m in diameter. What is the change in length of the column when it experiences a tensile stress resulting from the application of a 3600 N force? The elastic modulus for steel is 20 × 1010 Nm2/kg2. ΔL = mExperiments were conducted in a tension testing machine to evaluate the material properties of two metallic rods both having diameter equal to 10 mm. First rod having modulus of rigidity of the material equal to 400 tonnes/cm2 when subjected to an axial tensile force of 6 kN, the change in its diameter was observed to be 0.0018 cm. The value for the bulk modulus of the second metallic rod is same as that of the first one but modulus of elasticity 18% more. Based on the material properties calculate and compare the values of different moduli as well as Poisson’s ratio for both metallic rods. Justify your answer with reasons.
- A circular rod and a 0.1-in.-thick rectangular bar are both made of a plastic material that has an elastic modulus of E = 2.3 GPa and a Poisson’s ratio of ν = 0.33. The rod and the bar are initially the same length L. After a particular load is applied, the 3.6-in.-wide rectangular bar is elongated by some amount ΔL and its width is reduced by 0.096 in. If the 1.3-in. diameter rod is stretched by the same amount ΔL, determine its change in diameter. Expansion is positive, while contraction is negative.A 0.013 m diameter, 0.5 m long cylindrical metal bar is subjected to a compressive force of 8,500 N. This load does not exceed the yield strength of the material. Determine its diameter under this load. You will need some of the following properties of the metal to solve the problem: modulus of elasticity = 207 GPa, Poisson’s ratio = 0.30, yield strength = 180 MPa, tensile strength = 380 MPa, ductility = 23% elongation.a steel cable 31.75 mm in diameter and 15.24 m long is to lift a 20000 kg load without permanently deforming. What is the length of the cable during lifting? The modulus of elasticity of the steel is 207MPa.
- stress and strain A steel rod is 0.02 mi n diameter, and 2.5 m in length. The modulus of elasticity of this material is 210 GPa and a Poison's Ratio of 0.2. The change in diameter after applying a tensile force of 150 KN is9. A compressive force of 15-N is applied to a flexible poly(vinyl chloride) (CAS# 9002-86-2) wire that is 5-m long and has a diameter of 3.6-mm. If the wire contracts by 0.5-mm, calculate the compressive modulusA copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. Bulk Modulus (14*10^10 Pa) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3? How much pressure was applied to the copper rod? Calculate the percent change in volume of the copper rod.