A circular, metal rod of diameter 1 cm is loaded in tension. When the tensile load is 5kN, the extension of a 25 cm length is measured accurately and found to be 0.0227 cm. Estimate the value of Young's modulus E of the metal.

A circular, metal rod of diameter 1 cm is loaded in tension. When the tensile load is 5kN, the extension of a 25 cm length is measured accurately and found to be 0.0227 cm. Estimate the value of Young's modulus E of the metal.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.6.7P: A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The...

See similar textbooks

Related questions

Q: An aluminum alloy has a modulus of elasticity of 70 kN/mm^2 and yield strength of 275 N/mm^2…

Q: steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter . The internal diameter of…

Q: A cylindrical specimen of some metal alloy 11.7 mm (0.4606 in.) in diameter is stressed elastically…

Q: B/A steel bar 200 mm long and having a square cross section 40 mm on an edge is pulled in tension…

A: Given data, L= 200 mm Cross section of S= 40 mm So area will be A=S²= 1600 mm² P= 180000 N…

Q: Calculate the extension of the bar (△L).

A: Calculate the extension of the bar (△L)

Q: The data below are for a thin steel wire suitable for use as a guitar string.…

A: Given data: The original length of the guitar string, L = 1.5 m. Ultimate tensile stress, σut =…

Q: A solid cylindrical metal of 130 cm tall and 30 mm thick is centrally bored for 0.3 m, the bore…

Q: a steel cable 31.75 mm in diameter and 15.24 m long is to lift a 20000 kg load without permanently…

Q: While testing on a metallic rod, it is observed that the fiamedia of rod is reduced by 0.0025mm…

A: Write the given values along with the suitable variables.

Q: A copper wire of length 3 m and 2 mm diameter is subjected to a tension of 5N. Calculate the…

A: Given, L = 3 m = 3000 mm D = 2 mm F = 5 N E = 120GPa E=StressStrain Stress, σ=FA=5π4×22=5π=1.591…

Q: force of 20,000 N will cause a 1 cm x 1 cm bar of magnesium to stretch from 10 cm to 0.045 cm.…

A: As per policy, I have given solutions of question 2, kindly upload question 3 again. 2) Given that…

Q: The modulus of elasticity of 25 mm diameter aluminum bar was 70 Gpa, calculate the strain and the…

A: As per given question The modulus of elasticity of 25 mm diameter aluminum bar was 70 Gpa,…

Q: If lengths of rail track are laid down in cold weather, they may deform as they expand when the…

Q: Plates and rods are frequently used to help rehabilitate broken bones. Calculate the shear stress in…

Q: A straight bar of uniform cross sectionis tested in tension. The bar's cross sectional is 6.5 square…

Q: A steel bar 100 mm long and having a cross section area of 400 mm2 is pulled in tension with a load…

Q: Two bolts A and B of same material and length are subjected to identical tensile load. If the…

Q: A steel hoop, 10 mm thick and 80 mm wide, with inside diameter 1500.0 mm, is heated and shrunk onto…

Q: A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at…

A: Length of metalic rod, L=500 mmdiameter of rod, d=50 mmTensile force, F=100 kNincrease in length=0.5…

Q: You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m). The…

Q: Calculate the amount of elongation in cm when a mass of 1000 g is suspended on the tip of the spring…

A: Given:- Mass (m) = 1000g = 1 kg Spring constant (k) = 700 N/m Acceleration due to gravity (g) =…

Q: A metallic bar of 1 cm diameter, when tested under an axial pull of 10 kN, was found to reduce its…

A: ...

Q: A copper rod [E= 110 GPa] originally 599 mm long is pulled in tension with a normal stress of 278…

Q: A steel bar is stressed to 280 MPa. The modulus of elasticity is 205 GPa. The bar is 80 mm diameter…

A: Given data : Length (L)=240 mm Modulus of elasticity (E)=205 GPa Diameter (d)=80 mm Stress (σ)=280…

Q: A cylindrical specimen of some metal alloy 7.7 mm in diameter is stressed in tension. A force of…

A: Given: d=7.7 mmF=6280 Nδd=0.0033 mmν=0.35

Q: Consider a cylindrical nickel wire 1.6 mm in diameter and 3.5 × 104 mm long. Calculate its…

Q: The modulus of rigidity of a material is 63KN/mm2. A rod of diameter 40mm is subjected to an axial…

A: Given data: The modulus of rigidity is, G=63 kN/mm2. The diameter of the rod is, d=40 mm. The…

Q: A 11 in. inner diameter, 0.35 " wall thickness pipe is under a pressure of 2.5 ksi where strain…

Q: A 35 kN axial load is applied to a metal bar with a rectangular cross-section, 28mm wide by 10mm…

A: To find: The original length of the bar. Given: The load is P=35 kN. The width is 28 mm and…

Q: A tendon tissue 100 mm long and having a square cross section 20 mm on an edge is pulled in tension…

Q: A steel rod, 2 m long and 20 mm × 20 mm in cross section, is subjected to a tensile force of 40 kN.…

A: Given, Length of the rod = L = 2 m = 2000 mm Cross sectional area = A = 20 mm x 20 mm = 400 mm2…

Q: • Example A Cu rod of length 4 m with uniform cross-sectional area hangs freely and vertically from…

A: To draw: The free body diagram of the situation and also find the deformation in the rod due to its…

Q: (a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this…

A: Given Data⇒Diameter of bar d=25 mmAxial tensile load F=100 KNGauge Length L=200 mmChange in length…

Q: The ratio of modulus of rigidity to bulk modulus for a Poisson's ratio of 0.25 would be: (а) 2/3 (с)…

A: Given, Poisson's ratio = μ = 0.25 From the relation between Young's modulus and Modulus of…

Q: a circular rod 0.2 m long, tapers from 20 mm diameter at one end to 10 mm diameter at the other .on…

A: Vector is a physical quantity that has magnitude and direction both. Scalar is a physical quantity…

Q: A cylindrical specimen of a metal alloy 10 mm in diameter is stressed elastically in tension. A…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: were conducted in a tension te ial properties of two metallic 0 mm. First rod having modulus 00…

A: Both rods A and B have same diameter = 10 mm Let EA& Esthe modulus of rigidity of rod A &…

Q: To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of…

A: If two design criteria are given for a system, the design should be made on the criteria that give…

Q: A sample of silicone breast implant, polydimethylsiloxane (PDMS), is placed under unconfined…

A: Write the expression of Poison’s ratio.

Q: 1. Calculate the elongation of the cable due to load, if a steel cable of 4cm diameter is used to…

Q: A railroad track is laid at a temperature of 10°C with gaps of 0.008 m between the ends of the…

A: 2. Given Change in temperature = 10oC Modulus of elasticity, E = 200000 MPa Solution…

Q: An aluminum wire of length 2.0 m and diameter 5 mm is used to hang a load of 100 kg. The modulus of…

Q: The yield stress for mild steel is 207MP.. A specimen with diameter of 0.01lm and length of 0.1m is…

Q: A 2000 kg load is applied to a steel bar of cross-sectional area 6 cm². When the same load is…

A: Load on steel bar and aluminum bar, M=2000 kgCross-sectional area of steel bar, As=6 cm2=6*10-4…

Q: Suppose that an axle component of an automobile is fabricated from steel alloy with a plane strain…

A: It is given that Suppose that an axle component of an automobile is fabricated from steel alloy…

Q: A steel [E = 200 GPa] rod with a circular cross section is 8-m long. Determine the minimum diameter…

Q: 1. Calculate the elongation of the cable due to load, if a steel cable of 4cm diameter is used to…

Q: A of magnesium having a rectangular cross section of dimension 3.2 mm x 19.1 mm and a gauge length…

A: Given data: Cross-section of bar = A = 3.2 mm x 19.1 mm Gauge length = L = 63.5 mm For the given…

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

Learn more about

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

Similar questions

A 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.
A 5 meter-long steel bar that is 2.5 cm in diameter is stretched 2.0 mm by an axial load of 80kN in pulling it axially. Calculate the modulus of elasticity of the bar.
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.
Experiments 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) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this load a 200 mm gauge length is found to extend 0.19 x 10-mm. Determine the modulus of elasticity for the bar material.
A copper rolled wire 10 m long and 1.5 mm diameter when supporting a weight of 350 N elongates 18.6 mm. Compute the value of the Young's modulus of this wire
A tensile test is conducted on a mild steel bar. The following data was obtained from the test : diameter of the steel bar= 3cm, Gauge Length of the bar = 20cm, Load at Elastic limit= 250kN, Extension at a load of 150kN= 0.21 mm, Maximum Load = 380kN, Total Extension= 60mm, Diameter of the rod at failure=2.25cm, determine young's modulus?
The steel bar with a circular cross section of 14 mm diameter and 22 cm length, produced from a material with linear elastic behavior, elongates 0.11 mm under the effect of 16 kN tensile load and breaks at 24 kN load. How many MPa is the modulus of resilience of this bar?
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 .
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.
A straight bar of uniform cross sectionis tested in tension. The bar's cross sectional is 6.5 square centimeters and a length of 4 m. When the tensile load reaches 85kN, the total elongation is 2.5mm. What is the stress and the modulus of elasticity of the bar?
While 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 mofumod