Determine the modulus of Elasticity E for a material that has proportional stress of 100 MPa and proportional strain of 0.001.
Q: A round bar have a radius 8 cm and subjected to an axial tensile force of 10 kN. Determine the axial…
A: Given data : Youngs Modulus (E)=70 GPaRigidty Modulus (G)=26 GPaPoisson's ratio=μRadius (r)=8…
Q: What pressure is required to reduce the volume of water by 0.6 percent? Bulk modulus of elasticity…
A:
Q: a bar is 500mm long and is stretched to 505 mm with a force of 50kn.the bar is 10mm diameter.…
A: Given data : Initial length=500 mmFinal length=505 mmForce (F)=50 KNDiameter (D)=10 mm
Q: The stress in a rod is 70MPA and the modulus of elasticity is 150 MPa. what will be the strain in…
A: Given data in question Stress in rod Modulus of Elasticity To find out Strain in rod
Q: A metal rod with 0.5 in. diameter is subjected to 2000 lb tensile load. Calculate the resulting…
A: The given data is shown below:
Q: A rod of dimension 20 mm x 20 mm is carrying an axial tensile load of 10 kN. If the modulus of…
A: given force F=10 kNE=250 MPacross section area A=20 mm×20 mm
Q: Calculate the modulus of elasticity in Mpa if the bulk modulus of elasticity is 117, 647 Mpa and…
A: Given data: Bulk modulus of elasticity of the material (K) = 117,647 Mpa Poisson's ratio of the…
Q: bar of a certain material has 50 mm x 50 mm cross-section. When it is subjected to an axial pull of…
A:
Q: A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a force of 2.4…
A:
Q: If elastic modulus of material is 200 GPa and Poisson's ratio is 0.29, Bulk modulus is: 178.7 GPa…
A: To find bulk modulus,K=?
Q: A tensile stress is applied along the long axis of a cylindrical steel rod with adiameter of 10 mm.…
A: The given data is as follows: Diameter=10 mmChange in diameter=5×10-3 mmModulus of elasticity=200…
Q: 2. What refers to the stress in the material at the elastic limit? 3. What is the ratio of the…
A: Elastic limit is the limit by virtue of its material regain its original shape and size…
Q: If the Poisson's ratio of an elastic material is 0.4, the ratio of modulus of rigidity to Young's…
A: Given: The Poisson’s ratio is 0.4.
Q: A plastic cube with a 100 mm * 100 mm * 100 mm. is placed in a pressurechamber and subjected to a…
A: Modulus of elasticity is the physical properties of the object which show the resistance of the…
Q: Find the change in volume of 5 ft3 of water at 80 0F when subjected to a pressure increase of 368…
A:
Q: Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled…
A: the test is conducted in UTM. the test is standardized by American testing society material . the…
Q: A steel bar of 500 mm length is under tensile stress of 100 N/mm?. If the modulus of elasticity is 2…
A: Given data : Length (L)=500 mmTensile stress (σ)=100 N/mm2Modulus of elasticity (E)=2×1011 N/mm2
Q: If a bronze model railroad track is 26 in. long and the ends are restrained from moving when the…
A: E=15 * 106 Psi Coeff of thermal expansion=9.6 * 10-6 /oF Change in temperature =40oF
Q: to be in tension positive and forces causing the object to be in compression negative. As we can see…
A:
Q: A part’s maximum Von Mises stress and materials are given below. Determine for each of these…
A: To determine whether given part is safe or not.
Q: A specimen of steel has a rectangular cross section 20 mm wide and 40 mm thick, an elastic modulus…
A: solution Given tension P =60000N cross section =20mm×40mmelastic modulus E=207Gpa=207000Mpa…
Q: A tensile stress is applied along the long axis of a cylindrical steel rod with a diameter of 10 mm.…
A: It is required to calculate the strain in the x-direction. Here, is the change in diameter, and do…
Q: A metal specimen 36 mm in diameter has length of 360mm. A force of 300kN elongates the length by…
A: Given:- Diameter of specimen, d = 36 mm Length of specimen, L = 360 mm Force, F = 300 kN = 300000…
Q: The ratio of bulk modulus to the elastic modulus of a material having Poisson's ratio 0.35 will be…
A:
Q: On a graph, show the stress–strain relationship under loading and unloading for the following two…
A: a. When the applied load is removed from an elastic material, the material returns to its original…
Q: A steel alloy specimen having a rectangular cross section of dimensions 19.1 mm x 3.1 mm (0.7520 in.…
A:
Q: Figure P1.18 shows (i) elastic-perfectly plastic and (ii) elastoplastic with strain hardening…
A: Given: The stains are 0.001 and 0.004. Consider the below figure,
Q: A steel rod has a length of 4 ft, and a diameter of 3 inches. Determine the amount of stress in the…
A: Given data : Length (L)=4 ftDiameter (d)=3 inForce (F)=5000 lbModulus of elasticity (E)=30×106 psi
Q: A metal specimen 36-mm in diameter has a length of 360 mm. A force of 300 KN elongates the length by…
A:
Q: Which of these elastic moduli describes the ratio between volumetric stress and volumetric strain?…
A: a) Young's modulus of elasticity is defined as the ratio of normal stress to normal strain. b) Shear…
Q: Calculate the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…
A: To find:- the stiffness of a homogenous bar having elastic modulus of 200 GPa, length of 2 m, and…
Q: 1. The bulk modulus of elasticity for water is 2.205 GPa. Determine the change in pressure required…
A: Please refer the attached image for complete solution. THANK YOU !
Q: A cube made of an alloy with dimensions of 50 mm * 50 mm * 50 mm is placed into a pressure chamber…
A: Given data: Since pressure applied uniformly on all sides of the cube:
Q: Find the change in volume of 1.00000 ft of water at 80 °F when subjected to a pressure increase of…
A: Given data: Pressure increase (∆P)=300 psiInitial volume (V)=1 ft3Bulk modulus of elasticity…
Q: Explain what is called an isotropic elastic medium, and how is it different from an anisotropic…
A:
Q: 25 - Which of the following information cannot be determined from the Stress - Elongation Graph of a…
A: Modulus of elasticity can be obtained from stress-elongation graph as it is the ratio of stress and…
Q: 2. A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial…
A: Note :- as per our guidelines we are supposed to answer first three subparts only. Please repost…
Q: For a given material Young's modulus is 200 GN/m and modulus of rigidity is 80 GN/m?. The value of…
A:
Q: Q3 A resistance strain gauge with a gauge factor of 2.4 is mounted on a steel beam whose Young's…
A:
Q: Given that a steel cylinder of dimensions 12.0 mm in diameter and 70 mm long is subjected to…
A: (a) The modulus of elasticity is the slope of the line. E=∆σ∆z=200-00.001-0=2.0×105 MPa Therefore,…
Q: A steel bar 100 mm long is subjected to a tensile stress o. If change in length of bar is 0.05 mm…
A: Given data- Length L=100 mm,change in length ∆L=0.05 mm,E=200 GPa, To Find- The value of stress…
Q: Following figure shows the stress-strain diagrams for three materials A, B and C. (Where, P = 200+X,…
A:
Q: A steel column is 3 mm long and 0.4 m in diameter. It carries a load of 50 MN. Given that the…
A:
Q: Q1: The original length of a piece of metal is 400 mm, this piece has pulled in tension with stress…
A:
Q: A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of…
A: Given: The volume of liquid in a container at 1 MPa is , 1 liter=0.001 m3. The volume if the liquid…
Q: A beam shown below, 200mm wide by 350mm deep, is loaded as shown in figure below. Determine the…
A:
Q: 1. On a graph, show the stress-strain relationship under loading and unloading for the following two…
A: (a) Stress-strain relationship under loading and unloading for non-linear elastic material is as…
Q: Given that a steel cylinder of dimensions 12.0 mm in diameter and 70 mm long is subjected to…
A: (a)
Q: Consider a rectangular specimen of aluminium has a dimension of 10 ?? × 12.7 ?? is pulled in tension…
A:
Step by step
Solved in 3 steps
- The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
- Find the poisson's ratio for a given material if the modulus of elasticity is 100 GN/m2 and it's modulus of elasticity in shear is 40 GPa.At the limit of proportionality, a bar 30 mm wide (w) and 12 mm thick (t) elongates 2.0 mm under an axial load of 41.5 kN. The bar is 1.5 m long. If the Poisson's coefficient of the material is 0.33, determine: (a) the modulus of elasticity. E = ? (b) the variation in width. dw = ? (c) variation in thickness. dt = ?) Consider a cylindrical specimen of a steel alloy 10.0 mm in diameter and 75 mm long that is pulled in tension. (a) Determine its elongation when a load of 20,000 N is applied. (b) What is the modulus of elasticity? (c) What is the strength at a strain offset of 0.002? (d) What is the tensile strength?
- Consider a rectangular specimen of aluminium has a dimension of 10 ?? × 12.7 ?? is pulled in tension with 35500 N. Calculate the resulting strain. Given the modulus of elasticity is 69 × 103??? and assume that the deformation is elastic.An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100 mm-long cylindrical bar that was originally 10 mm in diameter to reduce the area by 0.1%? (NOTE: The material has a Poisson’s ratio of 0.29)A tension test performed on a metal specimen to fracture produced the stress– strain relationship shown in Figure P1.14. Graphically determine the following (show units and all work): a. Modulus of elasticity within the linear portion. b. Yield stress at an offset strain of 0.002 m/m. c. Yield stress at an extension strain of 0.005 m/m. d. Secant modulus at a stress of 525 MPa. e. Tangent modulus at a stress of 525 MPa.
- 1. Given the data, plot the stress-strain diagram 2. Determine the proportional limit 3. Determine the modulus of elasticityThe information in the photo attached shows elastic properties of a human tibula bone. If you were to take a small cuboidal cross section of the tibula bone and apply the ultimate shear stress, what would be the resulting strain? (a) 1.0 % (b) 6.7 % (c) 10 % (d) 15 % (e) None of the above.A cylindrical rod AB has a length ? = 80 cm and a diameterof ? = 2 cm. The modulus of elasticity is ? = 200 GPa andyield strength is ?? = 300 MPa. The stress-strain diagram ofthe rod is shown in the left figure. A force ? = 100 kN isapplied to the bar and then fully removed (right figure).Determine the permanent set in the rod.
