What is Hooke’s law for the 1-D system? Choices: The relation between normal stress and the corresponding strain The relation between shear stress and the corresponding strain The relation between lateral strain and the corresponding stress None of the mentioned

What is Hooke’s law for the 1-D system? Choices: The relation between normal stress and the corresponding strain The relation between shear stress and the corresponding strain The relation between lateral strain and the corresponding stress None of the mentioned

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 52PQ

See similar textbooks

Related questions

Q: Evaluate Young’s modulus for the material whose stress– strain curve is as shown.

A: Solution: Young’s modulus for the material whose stress– strain curve is as shown has given by,

Q: It is the ratio of the ultimate stress to allowable stress. poisson's ratio. O shear modulus modulus…

A: Poisson's ratio is defined as the ratio of the lateral strain to longitudinal strain, within the…

Q: This force is a force that is applied along the plane of an area rather than at right angles to it.…

A: 15 Shear force is a type of force that is applied along the plane of an area rather than at right…

Q: Stress (MPa) 800 Breaking point 600 Elastic limit 400 200 Eļastic behavior Strain 0.002 0.004 0.006…

Q: In Figure 4.1, assume that a 21 mm diameter rivet joins the plates that are each 110 mm wide. The…

A: Diameter=21mm=0.021m Width=110mm=0.110m Bearing stress=110mpa Shear stress=61mpa

Q: The following observation were made during a tensile test on a mild steel specimen of 40 mm diameter…

A: The solution is given below

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

Q: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

Q: H = 8 cm L = 4 cm α = 50° t = 5 mm The strain value of the structure in the same direction as a…

A: Write the given values of this problem. H=8 cmL=4 cmα=50T=5 mm∈x=0.26 mm/mm

Q: The lateral strain acting in a body is defined as: A or D Select one: a. the strain perpendicular to…

A: lateral strain is defined as the ratio of the change in diameter of a circular bar of a material to…

Q: For a constant force, a rope breaks due to stress. Which of the following is useful to reduce the…

Q: Evaluate Young's modulus for the material whose stress-strain curve is shown in the figure below.…

A: From the figure given stress strain curve, it is clear that the stress of the material corresponding…

Q: After a fall, a 87 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

Q: A marble column with a cross-sectional area of (2.70x10^1) cm² supports a load of (5.500x10^4) N.…

Q: A rubber cord and a steel wire are each subjected to linear stress. Draw sketch graphs showing how…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 15 m…

Q: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

Q: Below are the stress-strain graphs of 3 different materials. Which of these materials has the…

A: Given, Graph between stress and strain as we know that from hooks law that young…

Q: A cable supports a lift that moves up with an upward acceleration of 2 m/s2. Given that the…

A: Given, Upward acceleration,a=2 m/s2 Proportional limit stress,σ=10.1×109N/m2 Area of…

Q: - In stress-strain experiments on metal wires, the stress axis is often marked in units of 108 Pa…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s =…

Q: Hooke's Law may also be stated in the same relation as Young's Modulus where "the strain in a solid…

A: Hooke's law is define as that the strain in a solid body is directly proportional to the applied…

Q: A sign (mass 2500 kg) hangs from the end of a vertical steel girder with a cross sectional area of…

Q: The perimeter forming rate of the 45 ° jet shown in the figure is calculated when the strain rates…

Q: The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s -…

A: Given: S = 300 in units of 106 N/m2 ε = 0.010 Solution: a) From the given graph, we have…

Q: A material is made in circular rod form of diameter 0.6 cm and 10 cm long . It is fixed on the…

A: Dear student The strain is defined as Change in length per unit original Length. Strain = ∆L/L

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

Q: 3.7 There is an imprecise relationship between the flexural strength and volumetric strain of a…

Q: The point where the stress-strain diagram for structural steel becomes almost horizontal is called…

A: We have to plot the stress strain diagram to do this question.

Q: When a tensile load (F) is applied to a solid homogeneous rod, the rod undergoes a change in length…

A: Required : Alternate expression for the strain energy.

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

Q: A square slab of a concreate road with thickness of 0.2m and 1.0m long experiences shear strain…

A: We have a square slab of thickness x=0.2 m and length y=1 m which is displaced by a distance…

Q: Shear Stress in terms of its fundamental dimension is O A. M/tL^2 В. M/Lt^2 Ос. MLt D. M/(L^2)(t^2)…

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1200 kg object is…

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

Q: Which is false? The bulk modulus is used when comparing volume stress to volume strain The…

Q: The figure shows Force-Displacement curve for natural rubber. What can be said about the rubber…

A: Rubber is an elastic material. When an external force is applied to the rubber, it changes its…

Q: For a LEHI material, the principal plane stresses and associated strains in a plane at a point are…

Q: More than one answer may be correct- The plastic region of a stress-strain curve of a ligament…

A: There are three regions in stress-strain curve of a ligament: 1. Toe region 2. Elastic region 3.…

Q: A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x 10^6 psi. When the…

Q: An object has a Young’s modulus of elasticity of 14.5Gpa. determine the stress and strain…

Q: A metal wire with an elastic modulus of 0.05 Ggf mm-2 has a length of 7.5’. It has a circular…

A: The strain is given by:

Q: Sketch the stress-strain curve of the following tension test??? In the tension test of a metal…

A: Given, During tensile test metal fracture at maximum load Condition at initial is= Ao=150mm^2…

Q: 5. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0 m tall vertical…

Q: Which of the following are true about the modulus of a spring? Select all that apply. It represents…

A: Modulus of spring is k Such that F = k x where F = Force x = distance Let's shake each option one…

Q: The graph below represents the stress versus strain for a particular material. Stress (MPa) 800…

A: Young's modulus is defined for linear elastic behaviour only as below.

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

What is Hooke’s law for the 1-D system?

Choices:

The relation between normal stress and the corresponding strain

The relation between shear stress and the corresponding strain

The relation between lateral strain and the corresponding stress

None of the mentioned

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, physics and related others by exploring similar questions and additional content below.

Similar questions

An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
A company is testing a new material made of recycled plastic for use in construction. Figure P14.48 is a graph of the stress as a function of strain for this material. Find Youngs modulus for this material and compare your result with the data for conventional building materials listed in Table 14.1.
A uniform rope of cross-sectional area 0.50cm2 breaks when the tensile stress in it reaches 6.00106N/m2 . (a) What is the maximum load that can be lifted slowly at a constant speed by the rope? (b)What is the maximum load that can be lifted by the rope with an acceleration of 4.00m/s2 ?
The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.50 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 50.0 cm2. Youngs modulus for the concrete is 30.0 109 N/m2. After the concrete cures and the original tension T1 in the rod is released, the concrete is to be under compressive stress 8.00 106 N/m2. (a) By what distance will the rod compress the concrete when the original tension in the rod is released? (b) What is the new tension T2 in the rod? (c) The rod will then be how much longer than its unstressed length? (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length? (e) Find the required original tension T1 in the rod. Figure P12.27
What is the Young's modulus (in N/m2) for this material? On a graph with a starting point of (0,0) a straight line to (0.006,680) with that being the elastic behavior on a stress (MPa) vs strain graph.
The stress-strain graphs for materials A and B are shown below. The graphs are drawn to the same scale. Which of the materials has the greater Young's modulus? about the same A B
H = 8 cm L = 4 cm α = 50° t = 5 mm The strain value of the structure in the same direction as a result of the pull applied in the X axis from the bottom was measured as 0.26 mm / mm. Under the same loading condition: a) Calculate the strain on the Z axis of the structure. b) In this case, what is the strain type of the structure in the Z axis?
Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a cross-sectional area of 7.5 10-3 m2 and supports a load of 4.5 104 N. Young's modulus for steel is 210 ✕ 109 N/m2. a) How much compression (in mm) does each beam undergo along its length? b) Determine the maximum load (in N) one of these beams can support without any structural failure if the compressive strength of steel is 1.50 ✕ 108 N/m2.
A metal wire with an elastic modulus of 0.05 Ggf mm-2 has a length of 7.5’. It has a circular geometry. Assuming it is in the elastic region. Determine the strain, stress, cross-sectional area and the minimum diameter if the rod must hold a 40 lbf tensile force without deforming more than 0.08”. Express your answers in SI units.
Consider a steel rod with radius r and length L subjected to a constant tensile force T. If instead of steel, a material with a modulus of elasticity whose value is half that of steel and everything else is kept the same, which of the following best describes what will happen to the value of the rod’s experienced internal strain? Select one: A. Its value will be double the original. B. Its value will be half the original. C. There is not enough data to make a conclusion. D. Its value will remain constant.
Consider a steel rod with radius r and length L subjected to a constant tensile force T. If the radius is doubled and the length and applied tensile force is kept the same, which of the following best describes what will happen to the rod’s modulus of elasticity? A. There is not enough data to make a conclusion. B. Its value will be double the original. C. Its value will be half the original. D. Its value will remain constant. Consider a steel rod with radius r and length L subjected to a constant tensile force T. If the length of the rod is doubled and everything else is kept the same, which of the following best describes what will happen to the value of the rod’s experienced internal strain? A. Its value will remain constant. B. Its value will be half the original. C. There is not enough data to make a conclusion. D. Its value will be double the original.
The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.