A cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 47.5 mm to a length of 55.8 mm. i MPa

A cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of 47.5 mm to a length of 55.8 mm. i MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Example: the low cycle fatigue of a certain steel is given by life cycle equation-2: (of/E)=0.005…

A: The fatigue strength of steel /Modulus of elasticity(E), The fatigue Ductility coefficient is, The…

Q: A single crystal of a metal is oriented for a tensile test such that its slip plane normal makes an…

A: Given tensile stress = 1.3 MPa We are asked to compute the critical resolved shear stress for the…

Q: What is the modulus of resilience for the material with the stress-strain behavior given

Q: 400 200 Strain 0.05 0.10 0.15 0.20 From your graph, plotting the yield stress against 1/vd, you…

Q: Mechanics of Deformable Bodies he rigid bar of negligible weight is pinned at O and attached to two…

Q: A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of…

Q: Determine the following: a. Young's modulus within the linear portion b. Tangent modulus at a stress…

A: a).Young's Modulus : At the proportional limit, stress is directly proportional to strain stress α…

Q: A 12 mm diameter rod has an axial strain of 0.0009. If the metal rod has a Poisson's Ratio of 0.25,…

Q: The maximum measured Young’s modulus for a carbon nanotube is 950 GPa. How much stress would have…

A: Let’s consider an identical section for steel and carbon:

Concept explainers

Landfills

The landfill is a site used for the disposal of waste materials. The landfill is a solid waste facility that is often known as a dumping ground. The image below shows a landfill site in Hawaii. Landfilling is the most ancient and common method used for the disposal of waste. For the landfill, a deep trench is constructed in an isolated place away from the city. The trench for landfills is designed properly after analyzing the total population and the waste generation per capita. The waste is dumped into the trench and after every layer of waste, a layer of soil is spread on the top of it.

Question

A cylindrical specimen of a metal alloy 47.5 mm long and 9.72 mm in diameter is stressed in tension. A true stress of 397 MPa
causes the specimen to plastically elongate to a length of 54.3 mm. If it is known that the strain-hardening exponent for this
alloy is 0.2, calculate the true stress (in MPa) necessary to plastically elongate a specimen of this same material from a length of
47.5 mm to a length of 55.8 mm.
i
MPa

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A tensile stress is to be applied along the long axis of a cylindrical nickel rod that has a diameter of 11 mm. Determine the magnitude of the load required to produce 2.5 × 10−3mm change in diameter if the deformation is entirely elastic.
A steel bar is held by two fixed supports as shown in the figure and is subjected to an increased temperature of AT = 200°C. If coefficient of thermal expansion and young's modulus of elasticity of steel are 11 x 10-6/°C and 200 GPa respectively, the magnitude of thermal stress (in MPa) induced in the bar is
A round steel alloy bar with a diameter of 19mm and a gauge length of 76mm was subjected to tension, with the results shown in Table. Using a computer spreadsheet program, plot the stress–strain relationship. From the graph, determine the Young’s modulus of the steel alloy and the deformation corresponding to a 37kN load.
An aluminum shaft has a diameter of 50.1 mm. Determine the maximum shear stress in the shaft when subjected to a torque of 26.5 Nm? (answer in MPa or MN/m² to 1 decimal place, use pi = 3.142)
The representative curves of the applied stress versus the number of cycles for different metals are shown in Figure Q2. Analyze both metals in terms of fatigue properties. 500 Stress amplitude (MN/m²) 400 300 200 100 0 1045 steel 10³ 104 2014-T6 aluminium 10⁹ 106 107 Number of cycles, N₂ Figure Q2: Representative curves of stress amplitude vs number of cycles 108 10⁹
For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 411 MPa (59610 psi) is applied if the original length is 450 mm (17.72 in.)? Assume a value of 0.22 for the strain-hardening exponent, n. i mm
A 20 m long steel rod is at a temperature of 20°C. The rod is heated so that temperature rises by 50°C. If rod is allowed to expand by 14 mm, what will be the stress induced in rod? Take E = 200 GPa and α = 12 x 10-6/°C.
Example: the low cycle fatigue of a certain steel is given by life cycle equation-2: (ay/E)=0.005 -0.07 b= -0.08 c= -0.7 a. What is the value of the transition fatigue life, in this case 2 N/when EE - Ep b. What is the total strain amplitude at the transition fatigue life?
A brass alloy rod having a cross sectional area of 0.24 in.2and a modulus of 16 * 106 psi is subjected to a tensile load. Plastic deformation was observed to begin at a load of 8,944 lb.a. Determine the maximum stress that can be applied without plastic deformation.b. If the maximum length to which a specimen may be stretched without causing plastic deformation is 3.28 in., what is the original specimen length?
1.31 A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10° m/m/°C. Is there a stress on the rod at 115°C?