Answered: Find the length of elongation of a…

Find the length of elongation of a uniform mild steel rod length of 3 m, cross-sectional area of 150 cm2 and Young's modulus of 100 GPa subjected to an axial tensile (or compressive) force F= 200 N.

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: Compare the diffusion coefficients (in cm²/s) of nitrogen in BCC and FCC iron at the allotropic…

Q: ! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

Q: A spring subjected to a mass(m) are designed to be as a damped spring mass system. Suppose the…

A: Given data:- Suppose the speed of the mass is V m/sec and the roughness wavelength λ=10 m and its…

Q: Ex (3): Consider the flow of water between two vertical parallel plates at 30 degrees Celsius. The…

A: given; distance between plate(y)=2Bplate length=lplate width=wvelocity(v)=Ushear stress(τ)=?

Q: Steady-state creep rate data are given here for some alloy taken at 200°C (473 K): i Es (h-¹) 2.2 x…

Q: The 4 Mg helicopter maneuvers a horizontal turn having a radius of curvature r Determine: a) The…

A: Given Mass, M = 4 kg Radius, r = 400 mm Velocity, v = 40 m/s Find Angle Force, FL

Q: 30. Which type of keys are designed to be inserted from the end of the shaft after the hub is in…

A: Key is the machine element used to connect the rotating machine element to the shaft. There are…

Q: Question 14 of 20 A locomotive is accelerating at 2.43 m/s². It passes through a 22.6-m-wide…

Q: An air-source heat pump is a heat-pump system that uses air: a. as the system refrigerant. b. as…

A: As per our guidelines we can answer only one question. Kindly post the remaining questions in…

Q: Include the FBD of the problem Can the system in given figure be in static equilibrium in the…

A: Given data as per the question Length of bar AB =5 m weight of bar =500 lb=2224.11 Nweight of block…

Q: Create an accurate pictortial

A: Find Create a pictorial view of the object.

Q: S (-36mm) is correct but total distance traveled (166.04 mm) was marked wrong can you help me?

Q: Air with a density of 0.45 kg/m3 enters an experimental jet engine at a rate of 175 m/s. The inlet…

A: Given: at inlet, velocity = 175 m/s density = 0.45 kg/m3 area = 7 ft2 At exit, velocity = 695 m/s…

Q: Please answer these three questions. Thank you! A material has a Poisson’s ratio of -0.2 . Which…

A: Givenpart 1A material has a Poisson’s ratio of -0.2 . Which of the following is true?a. Strain is…

Q: The EOMS governing the rigid body A/C motion can be grouped as: A: kinematic equations and lateral…

A: As per our guidelines we can answer only one question. Kindly post the remaining questions in…

Q: confused how to add in k5

A: Equivalent spring stiffness: The total of each spring's separate stiffnesses makes up the equivalent…

Q: The shaft whose torque varies from 2000 to 6000 lb.in has a mean stress of 6,000 psi and a yield…

A: Given Data- Maximum torque =6000 lb.in Minimum torque =2000 lb.in Mean stress =6000 psi We have to…

Q: 1.5kW per ton of refrigeration is required to maintain the temperature of -40^(@)C in the…

Q: A gas is contained in a vertical piston-cylinder assembly by a piston with a face area of 60 in² and…

A: piston area ap=60 in2 weight W = 100 lb atmospheric pressure pa=14.7 lb/in2 change in elevation of…

Q: Carbon dioxide (CO₂) fills a closed, rigid tank fitted with a paddle wheel, initially at 80°F, 50…

Q: 1.30 A vacuum gage indicates that the pressure of air in a closed chamber is 0.2 bar (vacuum). The…

Q: A piston-cylinder assembly contains 2 lb of water, initially at 100 lbf/in.2 and 350°F. The water…

Q: PROBLEM 3: Consider the following cable system: cables AE, BE, CE, and DE intersect at point E. The…

A: FAE=122 kNFBE=111 kNFCE=95 kNFDE=108 kN

Q: Two cylinders of mass m₁ and m₂ are at equilibrium in the position shown. If m₂ = 20 kg, determine…

Q: Carbon dioxide (CO₂) fills a closed, rigid tank fitted with a paddle wheel, initially at 80°F, 20…

A: Given data: T1=80°F=539.67 RP1=20 lbf/in2V1=2 ft3T2=500°F=959.67 RQ=-2.6 Btu Need to determine the…

Q: Compute the minimum value of plane strain fracture toughness required of a material to satisfy the…

Q: A train has a length of 93.8 m and starts from rest with a constant acceleration at time t-Os. At…

Q: A wheel is mounted on a shaft (G= 80x10^9 N/m^2) of length 3 m and radius 1 cm. The wheel is rotated…

Q: i dont understand the encoding... kindly write it on a paper legibly,pls. make the solution more…

Q: Question 1 You are working on a design team at a small orthopaedic firm. You have been asked to…

Q: An M30 x 3.5 ISO 8.8 bolt is used in a joint at recommended preload, and the joint is subject a…

A: Introduction Bolted joints are a collection of fasteners and nuts used to unite two things into…

Q: Show full detailed solution: A reversed Carnot engine removes 40,000 kW from a heat sink. The…

Q: The uniform beam is supported by two rods AB and CD that have cross-sectional areas 10 mm² and 15…

Q: km hr Q3/ Vehicle A is moving at a constant velocity VA 120- at a location where the speed limit is…

Q: Problem 3.6 - Lug nuts hold the wheel on the hub. Determine the ufnimm Tummmmmmmmm moment due to…

A: Given, The applied force vector, F→=3i^+10j^+5k^ N Position vector of applied force,…

Q: The change in elasticity of the steak on cooking is due partly to the loss of water volume (so that…

A: Given data: Initial thickness = 25 mm Final thickness = 15 mm If the other dimensions of the steak…

Q: For the objects shown in orthographic projection below, construct an isometric view in the space…

A: According to the details provided in the three views, isometric views are given below the attached…

Q: Calculate the fitting coefficient, , for the sudden expansion when fluid flows from a tube with a…

A: R1=6mm R2=24mm Re=5000

Q: convergent nozzle of exit area 0.05 m2 is used to exhaust this gas to an ambient pressure of 100 kPa…

Q: Steam, initially at 700 lbf/in.2, 550°F undergoes a polytropic process in a piston-cylinder assembly…

A: given; initial pressure(P1)=700lbf/in2…

Q: Determine the force Prequired to maintain the 225-kg engine in the position for which 32. The…

Q: The drag force, Fd, imposed by the surrounding air on a vehicle moving with velocity V is given by…

A: Given data:- Drag coefficient(Cd) = 0.28 Projected frontal area(A) = 24ft2 Air density(ρ) =…

Q: What is the temperature profile for an atmosphere with uniform lapse rate y,[where y = -dT/dz]? Find…

A: Given: uniform lapse raate: γ=-dTdz To find: expression for T(z), P(z), ρ(z)

Q: Air is contained in a vertical piston–cylinder assembly by a piston of mass 50 kg and having a face…

A: Given data: V1=5 liter=0.005 m3ma=5 g=0.005 kgmp=50 kgA=0.01 m2Patm=100 kPaV2=0.002 m3∆U=-260 kJ…

Q: An ideal reheat Rankine cycle with water as the working fluid operates the boiler at 10MPa, the…

Q: PROBLEM 3 for the mechanism, shown on the figure, v₁=2 m/s, a₁ =7 m/s², B=0,4 m. Determine: linear…

A: Given Velocity, v = 2 m/s Acceleration, a1 = 7 m/s2 Find Linear velocity and acceleration of the…

Q: TRUE OR FALSE: __________a. Two different materials can have the same moduli of elasticity and…

Q: The bar has a constant width of 30 mm and a thickness of 10 mm. Determine the maximum normal stress…

A: Given: width of bar = 30 mm thickness of bar = 10 mm To determine: largest normal stress

Q: Q2/ The acceleration of a particle is given by a = 3t-30, where a is in meters per second squared…

A: Given:Acceleration, a=3t-30At t=o, s0=5 mAt t=0, v0=2 m/s

Q: ,000 kilograms of dressed poultry are blast-frozen on hand trucks each day (24 hrs) in a freezing…

A: Given:Mass of th poultry, m=8000 kgTime, t=24 hrsInitial temperature of teh poultry, Ti=7°CFinal…

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

Find the length of elongation of a uniform mild steel rod length of 3 m, cross-sectional area of 150 cm² and Young's modulus of 100 GPa subjected to an axial tensile (or compressive) force F= 200 N.

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

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 certain high tensile strength steel has a modulus of elasticity of 2 x 106 kg/cm² and a yield point stress of 6,000 kg/cm². Find the minimum limiting value of the slenderness ratio for which Euler's equation is valid.
A solid truncated cone is subject to an axial force P as shown. The exact elongation is d = PL/ (2pc²E). Replace the cone by n equal thickness circular cylinders and derive the expression as a function of n, P, L, C, E. draw a graph showing variation in elongation d with respect to n values. Take n from 1 to 100. Given that the P = 1 kip, L = 12 inch, C= 4 inch, E = 30x10° psi. B 2c
3. Find the young's modulus of a bars a rod of diameter 25 mm and of length 250 mm which is subjected to a tensile load of 50 kN when the extension of the rod is equal to 0.3 mm. And if the modulus of elasticity of the material of the rod is 2x105 N/mm² determine stress, strain and % elongation of the rod.
2. An alloy bar 2 m long is held between two supports. Find the stresses developed in the bar, when it is heated through 30 K if both the ends (i) do not yield; and (ii) yield by I mm. Take the value of E and a for the alloy as 120 GPa and 24 x 10 /K. 3. A circular bar rigidly fixed at its both ends is 1.2 m long. It uniformly tapers from 100 mm at one end to 75 mm at the other. What is the maximum stress induced in the bar, when its tempera- ture is raised through 25 K? Take E as 200 GPa and a as 12 x 10/K. [Ans. 86.4 MPa; 26.4 MPa] [Ans. 80 MPa]
A hollow circular pole 3 m high is fixed at the base. It is 6mm thick and its outside diameter is 300mm. The pole is subjected to a torque and a lateral force at the free end. Given: Torque, T = 25 kN-m Lateral Force, N = 3 kN Shear Modulus of Elasticity = 78 GPa Allowable Shear Stress = 60 MPa 1. What is the maximum shear stress (MPa) at the outside surface of the pole due to the torque, T? 2. What is the angle of twist (degree) due to the torque? 3. Find the maximum flexural stress (MPa) at the base of the pole due to the lateral force.
A circular rod of diameter 16 mm and 500 mm long is subjected to a tensile force 40kN. The modulus of elasticity for steel may be taken as 200 kN/mm2. Find stress, strain and elongation of the bar due to applied load.
Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 120 Gpa anda Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F.
Let's consider a rod having a solid circular cross- section with diameter of 4 mm and it is made of a material having a Young's modulus E = 120 Gpa and a Poisson's ratio of 0.33. If a tensile force F is subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F. Select one: F = 3427 N F = 2856 N F = 5712 N F = 8568 N F = 7140 N F = 2285 N
A given conical bar is tapering uniformly from 4 cm diameter to 15 cm and has a length of 40 cm. An axial force of 80 KN is applied at each end if the bar, Find the elongation of the bar. Note: Take E=200 GPa
Let’s consider a rod having a solid circular cross-section with diameter of 6 mm and it is made of a material having a Young’s modulus E = 200 Gpa and a Poisson’s ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 5.995 mm. determine the applied force F.
A brittle material made of ASTM grade 30 cast iron has ultimate strength in tension of 31 kpsi and ultimate strength in compression of 109 kpsi and undergoes the following plane of stress state: o, = 20 kpsi and Tyy = 10 kpsi (CW). a) using the 3D Mohr's circle, find all three principal normal stresses. b) using the Brittle-Coulomb-Mohr theory and Modified-Mohr theory, find the factors of safety for the given plane of stress state.
3 An aluminum (shear modulus = 2.8× 1010 Pa) rod is 25 mm in diameter and 50 cm long. One end is rigidly fixed to a support. What torque must be applied to twist the rod 4.5° about its longitudinal axis?