A load of 500 N is applied on a cylindrical wire of 3.0 mm diameter and 2.5 x 10* mm length. The wire is made of titanium with modulus of elasticity of 107 GPa. Assume that the deformation is within the elastic region, calculate the elongation of the wire.

A load of 500 N is applied on a cylindrical wire of 3.0 mm diameter and 2.5 x 10* mm length. The wire is made of titanium with modulus of elasticity of 107 GPa. Assume that the deformation is within the elastic region, calculate the elongation of the wire.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: 8.22 Consider the brass alloy for which the stress-strain behavior is shown in Figure 8.12. A…

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

Q: A steel rod is subjected to a stress of 200 MPa and has Young's modulus of 200 GPa. Calculate…

Q: A plastic bar of 88 mm is to be twisted by torques T until the angle of rotation between the ends of…

Q: Calculate the elastic strain in a polycrystalline aluminum alloy when it is pulled in tension given…

A: This question is based on the concept of solid mechanics.

Q: A load of 20 kN is applied to a rod with a diameter of 12.5 mm. Calculate the strain in the rod if…

A: Given Data: The load applied, P=20 kN Diameter of the rod, d=12.5 mm Young's modulus, E=103 GPa

Q: . Consider a cylindrical nickel wire 0.08 in. in diameter and 1200 in. long. Calculate its…

Q: Calculate the strain in a metal with a Young’s modulus of 210 GPa and subjected to 440 MPa.

A: Answer: The strain in the metal is 0.002095 .

Q: B: Answer the following questions. 1. Calculate the elongation of the cable due to load, if a steel…

Q: When a tensile force of 0.6 kN is applied to an elastic element, it has an elongation of 3 mm. What…

Q: stress 37 ksi- strain in 0.002-

Q: The is a rope that just cannot stretch more than 0.6 cm from a tensile force of 500N without…

A: Given: Tensile force applied on the rope, T=500 N mass of the rope, m=0.5 kg length of the rope,…

Q: A 3/4 in. diameter circular cylindrical specimen is subjected to a 40 kN uniaxial tensile load. The…

Q: Below is the stress (o = Ee) vs strain (e = 4) behavior of oxygen-free copper (OFC) wires (W8) at…

Q: B: Answer the following questions. 1. Calculate the elongation of the cable due to load, if a steel…

A: As per our guidelines, we are supposed to answer only first one question in case of multiple…

Q: Calculate the modulus of elasticity of the following material if it has a design stress of 250 kPa,…

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: What is the modulus of elasticity

A: force F = 613 kNdiameter d = 43 mm = 0.043 mlength L = 304 mm = 0.304 melongate length l = 0.00224 m

Q: A tensile specimen of cylindrical brass cartridge subjected to a load of 150 kg has a cross section…

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

Q: Take longitudinal strain 0.02

A: Given data : Longitudinal strain εL=0.02 Poisson's ratio μ=0.5 To find : Lateral strain

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

Q: A 0.013 m diameter, 0.5 m long cylindrical metal bar is subjected to a compressive force of 8,500 N.…

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: For a material under uniaxial tension loading, Find the true strain at which necking instability…

A: n=0.42 K=300 MPa

Q: A cylindrical material that has a Young’s Modulus of 2.5 GPa that is loaded along its longitudinal…

Q: The tensile modulus of a 0°, 90°, and 45° graphite/epoxy ply is measured as follows to give E1 =…

A: Solution: Given Data: E1=26.25 MsiE2=1.494 MsiEx=2.427 Msi To Find: (a) Value of Ex for 30o ply.…

Q: consider a cylindrical nickle wire 1.9 mm in diameter and 3.0*104 mm long. calculate its elongation…

Q: Consider a cylindrical nickel wire 2.7 mm in diameter and 12 m long. Calculate its elongation when a…

A: Given Data Wire diameter, d=2.7 mm Length of the cylindrical nickel wire, L=12 m Load=930N Modulus…

Q: A composite rod is comprised of an EN8 steel shaft of length, diameter and Young’s modulus of 200…

A: The schematic diagram of the given composite rod:- Given data, Length of steel rod, L1 = 0.2 m…

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

Q: Two vertical wires are suspended at 450 mm apart. Their lower ends support a rigid horizontal bar…

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…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

2. A load of 500 N is applied on a cylindrical wire of 3.0 mm diameter and 2.5 x 10 mm
length. The wire is made of titanium with modulus of elasticity of 107 GPa. Assume that
the deformation is within the elastic region, calculate the elongation of the wire.

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

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A cast-iron bar with a square cross-section of 50 mm is reinforced by placing tw steel plates 50 mm wide and 10 mm thick on opposite sides of the cast-iron bar. The compound rod is 2 m long and is subjected to a suddenly applied load of 100 kN. Calculate: 2.2.1 the maximum stresses induced in both materials. 2.2.2 the instantaneous elongation of the compound rod; and 2.2.3 the strain energy stored in each material (EST= 200 GPa and Ec= 95 GPa).
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.86 in.² and bar (2) has a cross-sectional area of 0.47 in.2. After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁-52 in., L₂=74 in., a=20 in., b=25 in., and c-33 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. Answers: (a) σ1 (b) VD=i (c) P = i L eTextbook and Media Save for Later (1) B L2 b (2) ksi, 0₂ = in. kips. i D P ksi. Attempts: 0 of 5 used Submit Answer
Give ONLY the correct answers with their units A. Calculate the axial deformation of a steel rod 20 cm long, 10 cm diameter. If an axial loading 300 MPa is applied at the end. B. If the cross-sectional is square with t=10 mm, is the deformation will be higher or lower. (use E=200 GPa) Y
At the proportional limit, a 16 mm thick x 69 mm wide bar elongates 6.2 mm under an axial load of 485 kN. The bar is 1.5 m long. If Poisson's ratio is 0.32 for the material, determine the modulus of elasticity (in GPa). Note: Do not include units in your answer. Answer:
When a tensile load of 20kN is applied to a rod of length 5 cm changes its length by 1 mm. The strain on the rod is ?
A tensile specimen of cylindrical brass cartridge subjected to a load of 350 kg has a cross section diameter of 3.5 mm and a gage length of 25 mm. Calculate the Young's modulus and engineering strain that occurred during a test if the distance between gage markings is 26.5 mm after the test.
A titanium tube with an outside diameter of 25 mm and inside diameter of 20 mm and a length of 200 mm. When an elastic uniaxial tensile force of 30 kN is applied to this tube along its length, what is the final length of that tube? (Modulus of elasticity of Titanium is 105 GPa)
A metal bar 5.0 m long extends by 0.05 m when a load is applied to it. The strain is?
A rod is 0.5 m long and 5 mm diameter. It is stretched 0.06 mm by force of 3 kN. Calculate stress and strain (Answer: 152.8 MPa and 120 uε)
Consider a cylindrical titanium wire with crossectional area of 7 mm^2 and 2.5 x 104 mm long. Calculate its elongation when a load of 500 N is applied. Assume that the deformation is totally elastic. Elastic modulus is 107 GPa.
EXAMPLE 3.9 Finite-element²¹ analysis shows that a long structural component car- ries a uniform axial stress of 35 MPa (T) (Figure 3.29). A hole in the center needs to be drilled for passing cables through the structural component. The yield stress of the material is 200 MPa. If failure due to yielding is to be avoided, determine the maximum diameter of the hole that can be drilled using a factor of safety of 1.6. 10 mm H = 100 mm -d- Figure 3.29 Component geometry in Example 3.9.
A cylindrical specimen of some metal alloy having an elastic modulus of 101 GPa and an original cross-sectional diameter of 3.9 mm will experience only elastic deformation when a tensile load of 4633 N is applied. Calculate the maximum length of the specimen ( in mm) before deformation if the maximum allowable elongation is 0.31 mm.