Answered: A material is subjected to a pressure…

A material is subjected to a pressure of 5 MPa. If the material has an elastic modulus of 80 GPa and a Poisson's ratio of 0.35, what is the volumetric strain? 6.55E-3 7- -5.63E-5 O 2.45E-6 O -8.32E-4

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

See similar textbooks

Related questions

Q: Given problem: a.) Calculate the thermal efficiency of an air-standard Diesel cycle operating with…

Q: A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and…

Q: A cylindrical rod made from an unknown metal is 350mm long and has a diameter of 10mm. The rod is…

Q: Figure P10.59 illustrates an Atwood's machine. Find the linear accelerations of blocks A and B, the…

A: Given:mA=3.5 KgmB=2 KgI=0.400 Kg.m2r=0.100 m

Q: Learning Goal: To set up and evaluate the equations of motion in a normal-tangential coordinate…

Q: 3.27 A torque of magnitude T = 100 N• m is applied to shaft AB of the gear train shown. Knowing that…

Q: Design a bushed-pin type flexible coupling for connecting a motor shaft to a pump shaft for the…

Q: How does discharge pressure affect the compressor speed? How does discharge pressure affect the…

Q: A furnace wall 200 mm thick is made of a material having thermal conductivity of 1.45 W/m. K. The…

A: Answer: (a) The rate of heat transfer through the wall is 3213.675 Watt. (b) The temperatures on the…

Q: How much heat must be applied to a 12-kg bar of silver to raise its temperature from 22°C to 90°C?

A: Given data Material: Silver Mass of material = 12 kg Initial Temperature = 22oC Final Temperature…

Q: A hollow round steel shaft has a torque of 600 ft-lb. The shaft has an outside diameter of 1.25 in,…

Q: Solve the given nonhomogeneous linear ODE by variation of parameters or undetermined coefficients.…

Q: What is the tension module in the rope? 2. Determine the module of the horizontal and…

Q: Q1 (а) A car starts from rest and with constant acceleration achieves a velocity of 5 m/s when it…

Q: The motion of a particle along a straight line is defined by S = 3 -t3 – 36t. When the particle…

Q: 6. While the radar equipment of an Interpol aircraft is being calibrated, this tracking a car as…

A: The position vector is used to describe the location of a body. When characterizing a body's motion,…

Q: 4. If 0.03 kg of air undergoes the cycle a - b → c (shown in the figure) in a piston-cylinder…

Q: Engine oil is cooled from 110°C to 86°C by running at a mass flow rate of 3.2 kg/s inside a tube…

Q: the stresses at point A.

A: To find Stresses at point A

Q: 2. The power transmitted between two shafts 3.5 meters apart by a cross belt drive round the two…

A: Given answers of width and initial tension are incorrect. Correct answers are calculated below:

Q: A conical tank is 12 ft across the top and 8 ft deep. It contains water to a depth of 6 ft. Find the…

A: Given that: Shape of the tank is conical Diameter = 12 ft Depth = 8 ft The tank contains 6 ft deep…

Q: Presents the diagram of the problem, necessary formulas, clearance and numerical solution: The…

A: Given: m = 0.525 kg delta T = 10°C Q = 1.23 kJ

Q: A motor car has a wheel base of 2.82 m has pivot centres 1.8 m. The track distance between tyre…

Q: Find moment of Inertia (Izz, and lyy) with all steps included. Please be clear. Thank you! 100 mm…

Q: Q1. What are parameters of cutting process? mention it with units.

Q: (a) Measurement systems plays a crucial role in industrial automation. Elaborate how the measurement…

A: (a): Earlier before the automation of the systems, A lot of problems was faced by the industrialist…

Q: coefficient ca needed fo m/s after free-falling fo m/s?.

Q: Find moment of Inertia (Izz, and lyy) wit Please be clear Thank Vou!

A: To find Moment of inertia

Q: The figure below shows the stress-strain behavior of a mild steel (the insert shows part of the same…

A: *As per our guidelines we are supposed to answer first three sub-parts of the question. Kindly…

Q: A 15 mm diameter nonrotating round bar is made of AISI 1050 cold-drawn steel and has a 3-mm diameter…

Q: A. Airfoil camber is the maximum distance between the mean camber line and the chord line, measure…

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

Q: 5.9 A submarinc is propelling underwater with a velocity of 6m/s. Discuss the nature of the boundary…

Q: Draw the shear force and bending moment diagrams for the beam shown. Neglect the weight of the beam.…

A: The stepwise procedure to draw SFD and BMD is shown in the following attached images:

Q: w Torque vs. angle oi twist for Cast Iron spec

A: solution of above problem is below:

Q: 3. Two shafts whose centers are 1 m apart are connected by a V-belt drive. The driving pulley is…

Q: b) As shown in Figure Q2(b), a skateboard rider exits the ramp at A with an initial velocity of v4…

Q: Statical Stability. The scow shown in Fig. A above is 15 m long, 6 m wide, and 4 m deep. It has a…

Q: Briefly describe two types of relative motion analysis of two particles. State the related equations…

A: Whenever two particles are in relative motion, then motion of a particle relative to other one is…

Q: You are surfing, but the waves are lame so you paddle back to shore. The waves are pushing you…

A: Given question is related to relative velocity, Velocity of waves = Vwave = 10 ft/s Velocity of…

Q: A finite wing with an area and aspect ratio of 21.5 m² and 5, respectively. The wing has a NACA 65-…

A: Given: The wing area, A = 21.5 m^2 The aspect ratio, AR = 5 The Span efficiency factor, e = 0.9 The…

Q: Introduction on Automobile sensors.

A: In Modern automobiles Automobile sensors are used to control and process the level of emission,…

Q: An investment cost for the wind power system is RM 5000 with the annual maintenance costs are RM…

A: Given : D = 30 m P = 400 kWh v = 7.5 m/s ρ=0.602 kg/m3 To find : Efficiency

Q: An engine operates on the air standard Otto cycle. The cycle work is 900 kJ/kg. The maximum cycle…

Q: Task 1 Derive the non-flow and flow energy equations from first thermodynamic principles.

Q: ) It starts from dwell and ends in am p) In section I the cam has a paraboli =) In section I from 0…

A: For the first section the cam has the parabolic profile as,Y=Aγ2+Bγ+C........0<γ<12The…

Q: 3/8". The weld is acte de is E8020. Determine an algebra critical point.

Q: Using SINE/COSINE LAW, calculate the magnitude and direction of the resultant of the two forces…

Q: THIN-WALLED VESSEL •Derivation of stress formula for thin-walled vessel (cylindrical and spherical)

Q: Determine the magnitude and line of action of the hydrostatic force on the gate shown in Fig. below.…

Q: 2. Determine the reaction at roller A and Hinge B. 300 lb

A: According to the details provided in the question, we need to calculate reactions at point A and B

Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

A material is subjected to a pressure of
5 MPa. If the material has an elastic
modulus of 80 GPa and a Poisson's
ratio of 0.35, what is the volumetric
strain?
O 6.55E-3
O -5.63E-5
O 2.45E-6
O -8.32E-4

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 1 images

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 thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
A 100 × 50 × 25mm steel block is subjected to a hydrostatic pressure of 5 MPa. The Young's modulus and Poisson's ratio of the material are 150GPa nd 0.2 respectively. The change in the volume of the block in mm³ is
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.
If the shear modulus of a material is 120GPa & the bulk modulus is 140 GPa, then Young’s modulus is------ a. 820 GPa b. 280 Pa c. 280 GPa d. 820 Pa
Do the Plane strain and plane stress each have three components lying in thesame plane?
If the Young's modulus and Poisson's ratio of the container material are 100 GPa and 0.3 respectively, What is the axial strain in the cylinder wall at mid-depth?
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 = 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 4.995 mm. determine the applied force F.
The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and ismade from a homogeneous material. The length (L) of the rod is 1.75 m andYoung’s Modulus for the material (E) is 250 GPa. When the rod is placed undertension it experiences deformation and a stress (?) of 650 MPa. Calculate thefollowing:(i) Strain energy (U) to 2 decimal places in Joules.(ii) Strain energy per unit volume (U/V) in J/m3.(iii) The change in length ∆L to 2 decimal places in mm.(iv) The strain (?) due to deformation to 2 significant figures
A [0/90/0/±45]s Glass/Epoxy laminate is subjected to the following mechanical loads: Nx =Ny= 80*10^5 N/m. The thickness of each lamina is 0.25 mm. Longitudinal modulus of elasticity = E1 = 38.6 GPa , Transverse modulus of elasticity = E2 = 8.27 GPa , Poisons Ratio 0.26. a) Determine the local stresses at the top of 45° ply
The normal strain measured on the outside surface of a spherical pressure vessel is 670 με.The sphere has an outside diameter of 1.20 m and a wall thickness of 10 mm, and it will befabricated from an aluminum alloy [E = 73 GPa;ν = 0.33]. Determine (a) the normal stress inthe vessel wall and (b) the internal pressure in the vesssel
A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P = 50 kN. The elongation of the rod is d = 1.40 mm, and its diameter becomes d = 19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield.