MECH ENGINEERING DESIGN(LL)+ACCESS
10th Edition
ISBN: 9781260113952
Author: BUDYNAS
Publisher: MCG
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Chapter 2, Problem 31P
For an axially loaded rod. prove that β = 1 for the Sβ/p guidelines in Fig. 2-19.
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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?
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 .
1. 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?
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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- A 30 cm long, 12 mm diameter carbon steel rod was subjected to 15.5 kN of tension. Calculate: (a) the stress and strain in the rod (b) the amount that it stretches, (c) its change in diameter and its stiffness (k= EA/L), (d) If the force was only 4.5 kN, by what amount would the rod have stretched?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_forwardA 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_forward
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- The two ends of a cylindrical nickel rod 120 mm long and 12 mm in diameter are held rigid. If the bar is initially at 70°C, to what temperature must it be cooled for a reduction in diameter of 0.023 mm to occur? Consider the modulus of elasticity of nickel of 209 GPa, and the coefficient of expansion of 13 x 10-6 K-1.arrow_forward1. An 8.0-mm (0.31-in.-) diameter cylindrical rod fabricated from a red brass alloy (Figure 8.34) is subjected to reversed tension-compression loading cycling along it’s axis. If the maximum tensile and compressive loads are +7500 N (1700lbf) -7500 N (-1700 lbf), respectively, determine it’s fatigue life. Assume that the stress plotted in Figure 8.34 is stress amplitude. 2. Consider an 18-8 Mo stainless (Figure 8.35) that is exposed to a temperature 500C (773K). What is maximum allowable stress level for a rupture lifetime of 5 years? 20years? Please state the given. Thanks a lot…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
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