A cylindrical bar of metal having a diameter of 20.0 mm and a length of 190 mm is deformed elastically in tension with a force of 50800 N. Given that the elastic modulus and Poisson's ratio of the metal are 61.4 GPa and 0.34, respectively, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Indicate an increase in diameter with a positive number and a decrease with a negative number.

Q: During testing of cast iron in compression, the original diameter of 2 inches was increased by…

A: Stress = Force/Area

Q: Young's modulus of elasticity and Poisson's ratio of a material are 1.25 × 105 MPa and 0.34…

A: As stated in the question, Young's modulus of the material = E = 1.25 x 105 MPa Poisson's ratio = μ…

Q: A torsion test shows that the shear modulus of an aluminum specimen is 27.6 GPa. When the same…

A: Shear modulus, G= 27.6 GPa Modulus of elasticity, E= 73.2 GPa   To find: Poisson's ratio, μ

Q: circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; V = 0.33] pipe has an outside diameter of…

A: Given:Youngs modulus, E=70 GPaThermal coefficient, α=22.5*10-6/°CV=0.33Outside diameter, D=225…

Q: Can the normal strain on the free surface of a body be measured in aparticular direction using an…

A: The magnitude of the strain measures using the device strain gauge. Strain gauge works on a…

Q: The specimen shown has been cut from a 5-mm-thick sheet of vinyl (E = 3.10 GPa) and is subjected to…

A: Given:Thickness of the specimen, w=5 mmModulus of elasticity of the specimen material, E=3.10…

Q: What minimum diameter is required for the wire?

A: Given data: -  The length of the steel wire is L = 1.95 m. The permissible elongation is δ = 0.270…

Q: Calculate the Young Modulus for a mild steel. When a rod of the steel is being tested under tensile…

A: Given : L = 4.5 m = 4500 mm d = 35 mm ∆L = 0.9 mm P =50000 N E = ?

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

A:

Q: Material A, has a yield strength of 902.88 MPa (125,000psi) and a plane strain fracture toughness of…

A: Given data as per question yield strength=902.88 Mpaplane strain fracture toughness=100.16 MpaSize…

Q: A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of…

A:

Q: A copper rod [E = 110 GPa] originally 760-mm-long is pulled in tension with a normal stress of 270…

A: Given: The modulus of elasticity of copper rod (E)=110 GPa The initial length of the rod l=760 mm…

Q: A cylindrical bar of metal having a diameter of 18.3 mm and a length of 209 mm is deformed…

A: Diameter of specimen, d=18.3 mm Length of specimen, L=209 mm Tension force, F=52500 N Modulus…

Q: Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 7 mm & Modulus…

A:

Q: Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.27 cm & the…

A: Area of cross section can be determined as

Q: A test piece is cut from a brass bar and subjected to a tensile test. With a load of 6.4 kN the test…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A tensile force of 200 KN is applied on a 0.02-m diameter and.2-m long rod. After applying the load,…

A:

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

A:

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

A:

Q: A specimen is originally 300 mm long, has a diameter of 14 mm, and is subjected to a force of 2 kN.…

A:

Q: A 21.00-m steel beam with 6.000 cm × 6.000 cm cross-section is supported at opposite ends by two…

A:

Q: During a test, a tungsten specimen alloy{ E =407GPa } by having a diameter of 10.5 mm is applied…

A: Data given -  E = 407 GPa { 407000 MPa }  P = 8000 N  D = 10.5 mm  Maximum allowable elongation =…

Q: A thin 3 m × 1 m sheet is being stretched along its length by a normal stress of 7.0 MPa. The…

A: GIVEN DATA SHEET OF DIMENSION 3m*1m E=100 GPa STRESS =7MPa POISSON'S RATIO =0.27 WE HAVE TO FIND %…

Q: For a given material, the ratio of lateral strain to linear strain is observed as 0.2 when axially…

A: Option b is correct

Q: A tensile force of 100 kN is applied on a 0.02-m diameter and 2-m long rod. After applying the load,…

A: Tensile force (P)=100 kN Original diameter (do)=0.02 m Original length (Lo)=2 m Final diameter…

Q: A brass specimen of the circular cross-section is fractured at 159 kN force and the final length of…

A: Given data: Force = 159 kN                     Final length of specimen = 51 mm…

Q: Consider a test specimen with the following material properties: E = modulus of elasticity = 30 × 10…

A: Given : To find : Stress - strain response

Q: A titanium alloy (Ti-5Al-2.5Sn) specimen with the dimensions shown below is subjected to a uniaxial…

A: The stress of a bar is given by,  , where P is the normal load and A is the cross-section area of…

Q: Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.49 cm & the…

A: Given data: The external diameter of the cylinder is D = 23.1 mm. The internal diameter of the…

Q: A bar with a cross-sectional area of 1300 mm, length of 1.5 m, modulus of elasticity of 70 GPa, and…

A:

Q: then the true stress-true strain relation (stress in MPa) in the plastic deformation range is

A: Correct answer = option (b)

Q: A cylindrical bar of metal having a diameter of 20.2 mm and a length of 202 mm is deformed…

A: Given data: di=20.2 mmL=202 mmF=46300 NE=65.4 GPaμ=0.34 Need to determine the elongation and change…

Q: After a fall, a 98 kg rock climber finds himself dangling from the end of a rope that had been 17 m…

A: Given:-m=98 kgL=17 mD=9.8mm∆L=3.1cm=0.031mTo find:-a) Strainb) Stressc) Youngs modulus

Q: n of aluminum having a rectangular cross section 9.6 mm × 13.0 mm (0.3780 in. × 0.5118 in.) is…

A: Given:Area, A=9.6*13.0 mm2F=35800 NE=69 GPa

Q: A composite bar is subjected to a tensile load of 115 kN. Bar 1 is rectangular cross section with…

A:

Q: A square bar subjected to a tensile load of 100KN having a gauge length of 200mm, extends to a…

A:

Q: A polycrystalline metal has a plastic stress--strain curve that obeys Hollomon’s equation, σ = K εn…

A: Given Data σ1=175MPa          ε1=0.02σ2=185MPa           ε2=0.10   Given equation σ = K εn

Q: Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.1 cm & the…

A:

Q: 3.33 The following data are obtained from a tensile test of a 12.7-mm-diametler aluminum specimen…

A: Given Specimen length = 50 mm Specimen diameter = 12.7 mm Specimen final diameter = 8.8 mm To find…

Q: A specimen is originally 300 mm long, has a diameter of 14 mm, and is subjected to a force of 2kN.…

A: The answer is provided below.

Q: Part A The material for the 50-mm-long specimen has the stress- strain diagram shown. (Figure 1) If…

A:

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

A:

Q: rail 5 m in length having a coefficient of linear expansion of 11.6 x 10-6 m/m C increases its…

A: Given:Length of the rail, L=5 mCoefficient of linear expansion, α=11.6*10-6 m/m°CInitial…

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.