If strains on a piece of metal are &x=-120 μm/m, &y=-30 µm/m, and y = 120 µm/m, what is the maximum principal strain?

Answered: Image /qna-images/answer/676901bc-d7d6-43b0-96f0-4b440bde5382.jpg

Answered: f strains on a piece of metal are…

Engineering

Civil Engineering

f strains on a piece of metal are &x=-120 µm/m, &y=-30 µm/m, and y = 120 µm/m, what is the maximum principal strain?

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.1P

See similar textbooks

Related questions

Q: (Build Cycle Time in Stereolithography) The square cup-shaped part shown is fabricated using…

A: Given: Base of the cup = 35 x 35 mm Thickness of base = 4 mm Wall thickness = 3 mm Height of the cup…

Q: Triangular or “V” shaped channel with the sides inclined at an angle, θ = 60O from the horizontal…

A: Objective: To determine the hydraulic radius of the triangular channel. Given: Depth of water in…

Q: The required diameter for a solid shaft to transmit 400 kW at 150 rpm, with the working shear stress…

A: Given- Power to be transmitted- P=400 kW, Speed- N=150 rpm, Shear stress- τ=80 MN/m2, It is needed…

Q: Discuss the stability and determinacy of the following structures. AA (d) (e)

Q: You have designed a 500 ft long simple horizontal curve that has an intersection angle of 45…

Q: The horizontal force P is applied to the cable wrapped around the inner spindle of the spool. The…

Q: Q-Groundwater flows through an aquifer with a cross-sectional area of 1.0 × 104 m² and a length of…

A: Given- Cross sectional area- A=1.0×104 m2, Length L=1500 m, Hydraulic heads = 300 m & 250 m,…

Q: The following diagram shows a partial floor framing plan of an elevated walkway building connecting…

Q: 5 For the machine element shown, locate the x coordinate of the center of gravity.

Q: The clip angle connecting the beam's web at A to the column may be assumed equivalent to a pin…

A: Given a determinate beam supported by a strut at B. The reaction forces at A and B are to be…

Q: 1. For the given state of stress, determine the following using the formulas: a. Principal planes 10…

A: i have explained it in a great detail please go through it and also try to understand the concept…

Q: The rate of rainfall for the successive 30 min periods of a 3- hour storm are: 1.6, 3.6, 5.0, 2.8,…

A: Given data- 30 min rainfall period, Rate of rainfall = 1.6, 3.6, 5.0, 2.8, 2.2 & 1.0 cm/hr,…

Q: 3-91 The weight of the gate separating the two fluids is such that the system shown in Fig. P3-91 is…

A: Given: F1/F2 = 1.70 SG¹ = 0.86, SG² = 1.25 Required: h/H

Q: A soil profile is shown in the figure. A uniformly distributed load of 50 Kpa is applied at the…

Q: Problem 1 A simply supported prismatic beam AB carries a uniformly distributed load w per unit…

A: Given data : SS Beam Find : Equation of curve and maximum deflection Use Double integration method…

Q: Problem 4 F4-21. Draw the moment diagrams for the frame. Assume the frame is pin connected at B. 5…

Q: The beam in Fig QS3 shows a beam carrying distributed and point loads. Using Moment Area Method: a)…

A: Given data EI = constant Find slope at A and deflection at D using Moment area method.

Q: A freshwater harbour has a vertical dock gate 17.6m wide. The gate has water at a depth of 15m on…

Q: The moist densities and degrees of saturation of a soil are given in the following table: p (kg/m³)…

Q: (1) 1.5 2,25 2.25 O O H 2/4 214 214 Isl 2.5" 44 L6x4x3/4" with bolts. Ag = 6.94 in ² An- ? 7/8"

A: Given Data: The data is given as: Gross area (Ag)=6.94in2Bolt diameter (db)=78inNominal hole…

Q: A w = 4 kN/m 10 m C B K = 40 kN/m

Q: Design is required for a new pavement to be constructed in 2010. The annual average daily traffic…

A: Solution:-

Q: An RCC slab (M 25 grade) of dimensions 5 mx 5 mx 0.15 m, is supported on four square columns (M 25…

Q: Question An ocean liner, 240 m long and 24 m wide, displaces 654 MN of sea-water (p = 1025 kgf/m³).…

A: Given- Length L=240 m, Width B=24 m, Sea water displaced=654 MN, Density- ρ=1025 kgf/m3, It is…

Q: If P = 150 kN, determine the decrease in the diameter of rod BC. Rod BC is made of A-36 steel of E =…

A: E=200GPa Diameter of rod=40mm P=150kN To find change in diameter of rod

Q: Lightweight Concrete Subject and Description

A: This question is related to concrete technology from civil engineering.

Q: Consider the following data relating to the performance of a centrifugal pump: speed = 1200 rpm.…

A: Given- Centrifugal pump data- Speed- N1=1200 rpm,flow rate-Q1=30 l/s,Head-H1=20 m,Power-P1=5 kW, In…

Q: 30 B H 12' C 9 kips 9 kips 9 kips 9 kips 6 @ 15' 90' E |— 30′—|

Q: 3-106 A 170-kg granite rock (p = 2700 kg/m³) is dropped into a lake. A man dives in and tries to…

A: Given data: Mass of granite (m)=170 kg density of granite (ρ)=2700 kg/m3

Q: Describe two construction methods for crushed stone road bases

A: By its most straightforward definition, "crushed stone" is just about as fundamental as it sounds:…

Q: A point on the real soil element is represented by a plane on the corresponding Mohr circle. True…

A: Given Statement: A point on the real soil element is represented by a plane on the corresponding…

Q: 36. What is the chord length (ft) from the PC to the PT?

Q: You have designed a 500 ft long simple horizontal curve that has an intersection angle of 45…

A: Solution: 34. Given: Length of the curve: L=500ft Intersection Angle: I=45o As the length of the…

Q: Try to calculate the Fixed-end Moment (FEM) shown in the figure below

Q: Design is required for a new pavement to be constructed in 2010. The annual average daily traffic…

Q: Given a two-dimensional blunt wedge immersed in a water stream, velocity profiles are measured both…

A: Solution:-

Q: Q- Principal stress at a point in an elastic material are 1.5 o (tensile), o (tensile) and 0.5o…

A: Given- Principal stress- σ1=+1.5σ σ2=+σ σ3=-0.5σ Elastic limit E=210 MPa, Poisson's ratio- μ=0.3,…

Q: COMPUTE THE MINUMUM PASSING SIGHT DISTANCE FOR THE FOLLOWING DATA: SPEED OF THE PASSING CAR = 90…

A: Given data, Va = 90 KPH Vb = 80 KPH T1 = 4 sec T2 = 9 sec a = 2.4 KPh/s D3 = 80 m

Q: Initial void ratio, e0= 0.8 Compression index, Cc = 0.25 Average effective pressure, σ’0 = 125 Kpa…

Q: Figure below shows vehicles traveling at constant speeds on a two-lane highway between sections X…

Q: P3.9 to P3.11. Determine the reactions for each struc- ture. All dimensions are measured from the…

A: Given : Determine the reaction of each support ?

Q: Maximum Reaction at support A, VA Maximum Reaction at support B, VB Maximum Shear at cutting plane…

A: Note:As per bartleby guidelines, only 1st 3 parts among multiple parts, need to be solved. For rest…

Q: *6-40. Determine the force in members CD, CF, and CG and state if these members are in tension or…

A: Reference : Structural Analysis, Truss section (Method of sections) Given : The number of forces To…

Q: Penetration 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Penetration (mm) 246 8 10 12 Load (kN) 11.5 17.6…

A: In laboratories for building materials, the California Bearing Ratio (CBR) test is used to gauge the…

Q: Determine the Mass of Solids, Ms. (Units of g, 2 decimal places)

A: The pycnometer method is used to determine the water content of a soil specimen and the specific…

Q: Determine the forces in the members identified by “X” of the truss shown using method of sections.

A: Given data Find force in member FG and EG using method of sections.

Q: A 6 × 6-inch concrete beam with a span of 18-inch is loaded as shown, to measure the flexural…

A: Given: Beam dimension: Breadth, b = 6 inch depth, d = 6 inch Length, L = 18 inch Load applied, P =…

Q: 19. What is the stationing (ft) of the EVC?

A: Length of curve, L = 1100ft ⇒ 11 stations. Stationing of BVC = 12+15 ft.

Q: 5-2. The cable supports the loading shown. Determine the magnitude of the vertical force P so that…

Q: to perform satisfactorily as road surfacing,bitumen aggregate mixes need to possess certain…

A: According to its definition, bitumen is "a viscous fluid or a solid, mostly composed of hydrocarbons…

Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

If strains on a piece of metal are &x=-120 μm/m, &y=-30 µm/m, and y = 120 µm/m, what is the maximum principal strain?

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 2 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

DURING THE STRESS-STRAIN TEST, THE UNIT DEFORMATION AT A STRESSOF 30 MPa WAS OBSERVED TO BE 110 x 10-6 mm/mm AND AT A STRESS0F 130 MPa IT WAS 520 X 10-6 mm/mm. IF THE PROPORTIONAL LIMITWAS 250 MPa, WHAT IS THE MODULUS OF ELASTICITY? WHAT IS THESTRAIN CORRESPONDING TO A STRESS OF 150 MPa?
A material has the stress–strain behavior shown in Figure P1.2. What is the material strength at rupture? What is the toughness of this material?
What strain will be produced by a stress of 20 x 106 N/m2, for a given modulus of elasticity 100GPa. a. 0.000002 b. 0.0002 c. 0.002 d. 0.0008
A steel wire with a diameter of d = 1/16” is bent around a cylindrical drum with a radius ofR = 36”.(a) Determine the maximum normal strain in the wire.(b) What is the minimum acceptable radius of the drum if the maximum normal strain mustremain below yield? Consider an elastic modulus of 30000 ksi and yield stress of 100ksi.(c) If R = 36”, what is the maximum acceptable diameter of the wire if the maximum normalstrain must remain below yield?
A rectangular block of aluminum 30 mm * 60 mm * 90 mm is placed in a pressure chamber and subjected to a pressure of 100 MPa. If the modulus of elasticity is 70 GPa and Poisson’s ratio is 0.333, what will be the decrease in the longest side of the block, assuming that the material remains within the linear elastic region? What will be the decrease in the volume of the block?
Question 2:A specimen is originally 300 mm long, has a diameter of 12 mm, and is subjected to a forceof 2.5 kN. When the force is increased from 2.5 kN to 9 kN, the specimen elongates 0.225mm. Determine the modulus of elasticity for the material if it remains linear elastic.
A commercially-pure copper wire originally 10.00m long is pulled until its final length is 10.10 m. It is annealed, then pulled again to a final length of 10.20 m. What is the engineering strain associated with each of the two steps in the process? What is the true strain for each step? What are the total engineering and true strains for the combined steps? Finally, what agreement (if any) is there between the total strains calculated as the sum of two steps of 0.10mvs. a single step of 0.20 m?
A model of reinforcing steel bars, which was given a tensile strength of 45150 N, elongated by 2.1 mm, cross-strain was 0.00056, boson ratio 0.32 and modulus of elasticity 200000MPa. Find the original length and cross-sectional area of the model, assuming that the stress did not exceed the elastic limit.
The rectangular plate is subjected to force P that causes elongation in the horizontal direction and shrinking in the vertical direction as shown with the dashed line in the figure. Assume a = 550 mm, Δx = 2 mm, and Δy = 1.1 mm. What is the normal strain in the y-direction? What is the normal strain in the n-direction?in micro£
Material A has a Poisson’s ratio of 0.35 and Material B has a Poisson’s ratio of 0.25. Assume that cylindrical specimens having the same dimensions were prepared from both materials and they were tested under uniaxial tension (below the yield stress of both materials). At the same longitudinal strain, the final diameter of the Material A becomes less than the final diameter of the Material B. Is it true or false?
Due to loading, the plate is deformed into the dashed shape shown in the figure. Assume a = 39 in., b= 33 in., δ1= 0.1625 in., δ2= 0.1 in. Determine the average normal strain along the side AB? Determine the average shear strain in the plate at A relative to the horizontal and vertical axes? In micro rad
The rectangular block shown in Figure is subjected to tension within the elastic range. The increase in the length of a is 2 * 10-3in. and the contraction of b is 3.25 * 10-4 in. If the original lengths of a and b were 2 in. and 1 in., respectively, what is Poisson’s ratio for the material of the specimen?