9.4 A steel cylinder 1 m long, of 150 mm internal diameter and plate thickness 5 mm, is subjected to an internal pressure of 70 bar (7 MN/m2), the increase in volume owing to the pressure is 16.8 x 106m. Find the values of Poisson's ratio and the modulus of rigidity. Assume E= 210 GN/m2. [0.299; 80.8 GN/m2] %3D

9.4 A steel cylinder 1 m long, of 150 mm internal diameter and plate thickness 5 mm, is subjected to an internal pressure of 70 bar (7 MN/m2), the increase in volume owing to the pressure is 16.8 x 106m. Find the values of Poisson's ratio and the modulus of rigidity. Assume E= 210 GN/m2. [0.299; 80.8 GN/m2] %3D

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: P2. Design a cylindrical thin-wall composite fuselage for storing compressed natural gas at a…

Q: ress (MPa) 80 70 60 50 40 4°C (40°F) 20°C (68°F) 30°C (86°F) 40°C (104°F)

A: Given -Engineering stress strain curve for steel alloyTo find -Modulus of elasticity of steel…

Q: The opening between a 3m long piece of steel and a rigid support is 1.5mm.As the temperature rises…

A: Given : L = 3 m = 3000mm Yield allowance δ = 1.5 mm dT = 25 ⁰ C α = 1.1 x 10-5 /⁰C NOTE :from…

Q: M13.5 Strain measurement with rosettes scenes Ea 500 µE Ep -200 µE %3D Ec 250 µE 30° 30° Ex ( με) Ey…

Q: Current Attempt in Progress Give the following problem a try. If you get stuck, here is one way to…

Q: > 15N/m²= 1-5x 10 ³/10/cm² = 0-0015 x(10-2) 2 N/cm²= lb/ft²

Q: The strain rosette shown has angles 0, = 0° (aligned with the x-axis), 0, = 60°, and 0, = 120°, We…

Q: The stress-strain relation of an aluminum alloy bar having a length of 2 m and a diameter of 10 mm…

A: Introduction In this problem, we will use the given stress-strain relationship to calculate the…

Q: if e11 , Example 1: (i) Find the compatibility condition for the strain tensor e22 , e12 are…

A: For solution refer below images.

Q: An elastoplastic material with strain hardening has the stress-strain relation- ship shown in Figure…

A: Given Data Stress at yield point is : σy=600 MPa Strain at yield point is :εy=0.003 m/m Now…

Q: A test specimen in a tensile test has a gage length of 2.0 in and an area = 0.5 in?. During the test…

A: Given data, Gage Length (L1) = 2 in Area (A) = 0.5 in 2 Load (P) = 32,000 lb, when gage length…

Q: The nodal coordinates and the nodal displacements for some plane stress elastic element is listed in…

Q: A rubber block with dimensions of 120x120x120 mm is compressed in a rigid mold cavity with a…

Q: c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

Q: When s-0, the springs were unstretched. What is the weight of the block? What are the stretches in…

Q: Q.2 If young's modulus of elasticity of a material is 140 GPa and Bulk modulus is 70 GPa, what will…

A: Data given- E = 140 GPa K = 70 GPa μ = ?

Q: A steel cylinder of 1 metre diameter is carrying a fluid under a necessary wall thickness, if the…

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: Same problem is considered here again using three equal length elements. Suppose that the strain…

A: Strain energy of element 1 ( u1) = 0.09 N.m Strain energy of element 2 ( u2) = 0.17 N.m Strain…

Q: A small aluminum alloy [E = 71 GPa] tee shape is used as a simply supported beam as shown. For this…

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

9.4 A steel cylinder 1 m long, of 150 mm internal diameter and plate thickness 5 mm,
is subjected to an internal pressure of 70 bar (7 MN/m2), the increase in volume owing
to the pressure is 16.8 x 10 -6 m'. Find the values of Poisson's ratio and the modulus of
rigidity. Assume E = 210 GN/m2.
[0.299; 80.8 GN/m2]

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

Question 1 The wedge shaped bar shown in Figure Q1 is to be analysed using a single one dimensional quadratic element as shown. The bar has a rectangular cross section with a constant width and a linearly varying depth. 500 k = 10E 2 100 3 Figure Q1. +1] a) Calculate the strain shape function matrix, [B], for the element. b) Using the strain shape function matrix derived in (a), show that the stiffness matrix for the element is given by the equation: I 255+ ALL DIMENSIONS IN mm (3-5) d h 100- with units of N/mm Where: E = Young's modulus of the material 10 c) Show how the strain shape function matrix may be used to determine the stress from the nodal displacement for this type of element. Do not attempt to calculate the stress. LEGION Question 2 Figure Q2 shows a two-dimensional quadratic element that has been distorted such that one Q Search
An aluminum alloy [E = 70 GPa; v = 0.33; a = 23.0x10-6/°C] pipe is subjected to a tensile load P. The pipe has an outside diameter of D = 280 mm, a cross-sectional area of A = 7550 mm², and a length of L = 9.5 m. The initial longitudinal normal strain in the pipe is zero. After load P is applied and the temperature of the pipe has been increased by AT = 40°C, the longitudinal normal strain in the pipe is found to be 2260 με. Calculate the magnitude of load P. Answer: P = M. L kN D P
Suppose that you used 70 quadratic elements to discretise a bar system (mesh). What is the size of the assembled stiffness matrix? (Hint: if the size of the matrix is 10 by 10, then write 10 in the answer box).
A steel [E = 200 GPa] rod with a circular cross section is 9-m long. Determine the minimum diameter D required if the rod must transmit a tensile force of 21 kN without stretching more than 4 mm.
Given an incompressible isotropic material, find the Poisson ratio and the bulk modulus of the material. Notice by definition, an incompressible material means there is no change of volume under any and all states of stress.
A large thin rectangular plate is subjected to certain traction boundary conditions on its thin edges. The following stress function is proposed for this problem: 2 p(x,y) = A x¹ + B x²y² + Cy² (i) use the biharmonic equation to find restrictions, if any, on values of A, B, and C (ii) calculate all stress components (iii) calculate all strain components in terms of A, B, and C as well as the Young modulus and Poisson's ratio E and y, respectively. (iv) check that the equilibrium equations are satisfied (v) determine the traction boundary conditions at x=+a and y=+b
Solve it by yourself, do not copy from chegg!
A thin steel cylinder 1.3 m long is subjected to internal pressure, the change in volume owing to the pressure is 17.5 x 10 m³ of the original volume 65.5 x 103 m³. De termine the internal diameter, hoop, and longitudinal stresses. For the cylinder material E = 210 GIN/m², v = 0.3. de 253 What will be the bulk modulus K, if the internal pressure is 14 bar and the extra fluid is 6 * 10 m³ at the same diameter, thickness, and original volume of part (a).
Mechanical engineering. A steel beam is installed in a building when the ambient temperature is -12C. If the beam if fixed at it's ends (prevented from expanding/contracting), calculate the stress that will develop in the beam if the ambient temperature rises to +32C. State whether the stress is tension or compression. Assume E 200,000 MPa and \alpha L = 12x10-6 (/\deg C)
Thank you. Please help me.
Figure 2 shows a bar with a length L fixed at the left end. Question 2 The uniformly distributed force f (unit: N/m) is applied along the axis of the bar, and a concentrated force P (unit: N) is applied at the free end of the bar. The bar has a constant Young's modulus E and cross-section area A. Find the stretch of the bar: (a). at the free end of the bar; (b). at the center of the bar. (Expressing all the resulta with E, A, L, f, and P). E, A L Fig. 2. The kft end of the bar is fd, ad the froe ed of the bar is applied with a force P. The uniformly distribatod kece f is applied akong the ais of the bar.
A rubber block with dimensions of 120x120x120 mm is compressed in a rigid mold cavity with a vertical force of F=120 kN. In the rubber block, a) Find the stress in the vertical direction (in the y direction). b) Find the stress in the horizontal direction (in the x direction). c) Find the value (mm) of the deformation in the vertical (y direction). Rubber block, The modulus of elasticity E = 820 MPa. Poisson ratio v = 0.4