MECH ENGINEERING DESIGN(LL)+ACCESS
10th Edition
ISBN: 9781260113952
Author: BUDYNAS
Publisher: MCG
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Chapter 2, Problem 30P
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The prove of constant
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A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at the ends, experiences an increase in its length by 0.5 mm and a reduction in its diameter by 0.015 mm. Calculate the Poisson's ratio of the rod material .
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Chapter 2 Solutions
MECH ENGINEERING DESIGN(LL)+ACCESS
Ch. 2 - Determine the tensile and yield strengths for the...Ch. 2 - Assume you were specifying an AISI 1060 steel for...Ch. 2 - Determine the yield strength-to-density ratios...Ch. 2 - Determine the stiffness-to-weight density ratios...Ch. 2 - Poissons ratio v is a material property and is the...Ch. 2 - A part made from annealed AISI 1018 steel...Ch. 2 - Prob. 10PCh. 2 - Repeat Prob. 2-9 for a part made from 2024-T4...Ch. 2 - A steel member has a Brinell of HB = 215. Estimate...Ch. 2 - A gray cast iron part has a Brinell hardness...
Ch. 2 - Prob. 14PCh. 2 - Brinell hardness tests were made on a random...Ch. 2 - Prob. 16PCh. 2 - Prob. 18PCh. 2 - Repeat Prob. 2-18 for the commonly used alloy...Ch. 2 - 2-21 to 2-23 A 1-in-diameter rod. 3 ft long, of...Ch. 2 - Prob. 22PCh. 2 - Prob. 23PCh. 2 - Consider a rod transmitting a tensile force. The...Ch. 2 - Repeat Prob. 2-26, except that the design...Ch. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - For an axially loaded rod. prove that = 1 for the...Ch. 2 - Prob. 32PCh. 2 - Prob. 33PCh. 2 - Prob. 34P
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- (1) Find the factor of safety allowed in a piston rod 200 mm diameter if the maximum tensile pull in the rod under working conditions is one MN and the tensile strength of the piston rod material is 600 MN/m2.arrow_forwardDetermine the changes in length,breadth,thickness of a steel which is 4m long ,30mm wide,20 mm thick and is subjected to an axial pull of 30KN in the direction of its length.take E=2.1*(100000) and Poisson ratio is 0.3arrow_forwardWhile testing on a metallic rod, it is observed that the fiamedia of rod is reduced by 0.0025mm under the axial pull of 20KN. the original diameter of is15mm.if modulus of rigidity of rod metal is 50KN/mm.find the young's modulus and bulk mofumodarrow_forward
- In Problem 1.32, if the rod is snugly fitted against two immovable nonconducting walls at a temperature of 15°C and then heated uniformly to115°C, what is its length at 115°C? If the modulus of elasticity of steel is207 GPa, what is the stress induced in the bar? Is this stress tension orcompression?arrow_forwardA steel rod with a cross-sectional area of 180 mm2 is stretched between two fixed points. The tensile load at 25°C is 3,600N. Assume thermal coefficient equal to 11.7 x 10-6 mm/ (mm°C) and E = 200 GPa. Which of the following most nearly gives the temperature at which the compressive stress will be 48 MPa? Which of the following most nearly gives the temperature at which the tensile stress will be 48 MPa? Which of the following most nearly gives the temperature at which the stress will be zero?arrow_forwardA circular, metal rod of diameter 1 cm is loaded in tension. When the tensile load is5kN, the extension of a 25 cm length is measured accurately and found to be 0.0227cm. Calculate the tensile stress, tensile strain and estimate the value of Young’sModulus, E, of the metal.arrow_forward
- 3. A cylindrical metal rod of 50mm diameter and 3m length is subjected to a tensile load of 150KN. To what length the cylinder should be centrally bored on one side to reduce weight by material removal, so that the total extension will increase by 20 percent under the same pull. The diameter of the hole being bored on one side is equal to 25mm. Take E= 200GPa.arrow_forwardTo manufacture a piston with a circular cross section, an alloy steel bar is required whose length is fixed and has a value of 35 cm and must withstand a compression load of 5.2 tons. For its design, a safety factor of 4/5 is suggested with respect to the yield stress. The shear modulus for that alloy is 80 GPa.To know the resistance of this steel alloy, a compression test was carried out on a specimen of the same material, from this test the data table of stress against engineering deformation shown was obtained. Image 1 1) Calculate the increase in the diameter of the bar when the load is applied2) Define the Poisson's ratio and calculate its valuearrow_forward1. A circular rod of diameter 20mm and 500mm long is subjected to atensile force 50kN. The modulus elasticity for steel may be taken as 200kN/??2. Find stress and strain due to applied load.arrow_forward
- A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of different metal and of same length expands by 0.045 cm for the same rise in temperature. A third rod also 30 cm long, is made up of pieces of each of the above metals placed end to end and expands 0.065 cm between 0°C and 100°C. Find the length of each portion of the composite bar.arrow_forwardA 25 mm diameter cylindrical rod fabricated from 2014-T6 Al alloy is subjected to repeated tension-compression load cycling. The data is plotted for σm = 20 MPa. In order to have fatigue life of 1.0x107 cycles, calculate Stress Ratio and mention whether it is a case of HCF or LCF.arrow_forward1. An aluminium rod of circular cross section is to withstand 250kN of tensile load for a structural application. The minimum length of the rod is 4.2m but must deform elastically to no more than 7mm when the tensile force is applied. Take that the engineering yield stress limit and the Young’s modulus of the material are 260 MPa and 70 GPa respectively.If a safety factor of 2 is adequate, design an appropriate rod and state why factor of safety is important in your analysis. 2. Explain the differences in the grain structure between a metal which has been cold worked and another same cold worked piece but has been fully re-crystallised. Why are small angle grain boundaries not as effective in interfering with the motion of dislocation as high angle grain boundaries?arrow_forward
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