Answered: &=0.004, & = -0.003, & = 0.002, at…

&=0.004, & = -0.003, & = 0.002, at angles 0 = 0, 0 = 60°, 0 = 120° С a) Calculate the component strains: &, &, and Ky. b) Calculate the principal strains.

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 7.7.11P: The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y...

See similar textbooks

Related questions

Q: find all the forces on all the memebers AB, BC DC DE.... 800 N A B 1000 N 12 m C 1500 N J 2000 N 12…

A: Find all the forces on all the members.

Q: Determine the moment of inertia of the area about the x-axis and y-axis. 150 mm 3 in.3 in. 150 mm 2…

A: Disclaimer:Hello. Since you have submitted multiple questions, we will solve the first one for you.…

Q: Steam flows at 60 m/s through a steam main of 1.6 MPa, 280°C. Four tanks are connected to this main…

Q: Work like new please Calculate: a) the Resulting Force and its point of application, taking into…

Q: Q. 2. A Figure 2 shows an isometric view of an object. Draw to a full size scale the following views…

A: A Figure 2 shows an isometric view of an object. Draw to a full size scale the following views in…

Q: Consider the beam shown in (Figure 1). Take w= 1.8 kip/ft. A) Determine the shear stress at point C…

A: Given:The uniformly distributed load is the length of AB is the thickness of the section is

Q: Use the method of nodes to determine the strength in each member of the truss shown. Establish…

A: Use the method of nodes to determine the strength in each member of the truss shown.Establish…

Q: 13.8 - Howson et al.studied the creep and stress-rupture response of oxidedispersion-strengthened…

Q: 2. The figure below shows a uniform horizontal rod of length 100 cm weighing 10 N. The rod is…

Q: Conditioned air at 13°C and 90 percent relative humidity is to be mixed with outside air at 34°C and…

A: Given:the temperature of the conditioned air is .The relative humidity is the temperature of the…

Q: At a fabrication temperature of 16 degrees C, steel tubes in a boiler measure 2.500 m. When the…

A: Original length of steel tubes (L0) = 2.500 mOriginal temperature (T0) = 16°CFinal temperature (T) =…

Q: rod of the fixed hydraulic cylinder is moving to the left with a constant speed VA = 37 mm/s slider…

Q: Water enters the boiler of a steady-flow Carnot engine as a saturated liquid at 300 psia and leaves…

Q: A polystyrene rod consisting of two cylindrical portions AB and BC Is restrained at both ends and…

A: A polystyrene rod consisting of two cylindrical portions AB and BC Is restrained at both ends and…

Q: 1.- You have the following manufacturing system: A B с 5% 15% M M1 M2 20% 20% E G 40% D H 40% M3 I…

A: Given:

Q: Determine the moment of inertia of the area about: A. the x-axis B. the y-axis Hint: See Appendix A…

A: The curve, y = 9 - x2Let's consider two area strips as shown in the below figure.

Q: 1. Fig. 1 Shows an aerofoil cutting mechanism which has a laser cutting device located at point E -…

Q: A scow 20ft wide and 60 ft long has a gross weight of 225 short tons (2000 lb). Its center of…

Q: Draw the shear diagram for the beam. Click on "add vertical line off" to add discontinuity lines.…

A: The beam is subjected to a uniformly distributed load to a length of 20m of magnitude 50 lb/ft.It…

Q: A pumped storage scheme comprises two reversible pump turbines which transfer water between an upper…

A: Disclaimer:Hello. Since you have submitted multiple questions, we will solve the first one for you.…

Q: Develop MATLAB code to model Qacm with a fixed outlet temp of T= 870K. Optimizing components

A: Given:To find:Develop MATLAB code to model Qacm with a fixed outlet temp of T= 870K.

Q: OA 0.90 AB ● 3.25 BC 2.75 BD CG Length [m] 5.50 0.55 OE 1.85 CE L H 2.20 2.581 3.15 B W OA [deg]…

Q: 12-34. Design a cylindrical tank for compressed natural gas at a pres- sure of 4.20 MPa. The minimum…

A: The pressure is The minimum inside diameter is The factor safety is The cylinder material is…

Q: Question 2 A 1-1 shell & tube exchange is with Sulfuric Acid flowing at 115 gpm, at 80.33 F (Cp=.02…

A: To Find:The shell side fluid.Total hot side heat duty.The Log Mean Temperature Difference.Given:the…

Q: For the given multiview projection, draw the corresponding isometric drawing. # maka ㅏ

A: For the given multi view projection, draw the corresponding isometric drawing.

Q: -:) Given a tank wall with a thickness of 0.01 m and a thermal conductivity of 0.2 W/m-K. The…

A: Given:The thickness of the wall is The thermal conductivity is The convective coefficient at the…

Q: An instrument package is held underwater by a cable attached to the floor of the ocean. The…

Q: A horizontal-axis wind turbine with rotor 80m in diameter is 35% efficient in 18m/s wind at 0.977…

A: The power available in the wind can be calculated using the formula:…

Q: A steady-state system for producing power consist of a pump, heat exchanger and a turbine. Water…

Q: The spool has a mass of 80 kg and a radius of gyration of kg 200 mm about its center of mass G.…

A: mass, m = 80 kgload, P = 200 Nradius of gyration, kG = 200 mm = 0.2 mk = 0.25s = 0.3r1 = 300 mm =…

Q: Figure L. M -3 ft -4 ft < 1 of 1 0.5 ft Determine the force that the smooth roller C exerts on…

A: Determine the force that the smooth roller C exerts on member AB (Figure 1).Set M = 72 lb ft.…

Q: List the procedure for mathematical models for engineering processes in the correct order. Rank the…

Q: how is v1 calculated from pressure

A: Saturated pressure of the liquid is:

Q: Take P= 38 kN. EI is constant. (Figure 1) Figure 4 m B- 2 m- P 1 of 1 Determine the y-component of…

A: Determine the y-component of the reaction at the roller B.Determine the x component of the reaction…

Q: KL elbow = 1.5 maib Filter exit KL valve = 6.0 KL filter = 12.0 KL ent = 0.8 200 ft. of…

A: The flow rate of the pipe is diameter of the pipe length of the pipe

Q: A water tank is completely filled with liquid water at 20ºC. The tank material is such that it can…

Q: 4. The rod has a diameter of 40 mm. If it is subjected to the force system shown, determine the…

Q: Write a professional report about medical gas systems according to the HTM 02-01 Standard.

A: Standard: A Comprehensive Overview of Medical Gas Systems to Improve Patient Safety and Healthcare…

Q: The reactive force developed by a jet engine to push an airplane forward is called thrust, and the…

A: Given,The reactive force developed by a jet engine to push an airplane forward is called thrust, and…

Q: Drawing: A round rod of annealed 302 stainless steel (K = 1300 MPa and n = 0.3) is being drawn from…

A: Given:To find:

Q: The ball has a mass of 3kg, the vertical wall BC is 1000cm high - assume there is no friction. Due…

A: Given:mass of the ball, m = 3 kgBC = 1000 cm = 10 mThe vertical height of the ball at point A = r =…

Q: For the Problem-1, determine the critical load if its length is 700 mm

A: The length isDiameter of the barYoungs modulus

Q: +5 M suspension You are an engineer designing the suspension of an ATV. You want to ensure that the…

A: Consider expression for acceleration.Consider expression for relation between acceleration and…

Q: A bucket of height H is filled to height H and has two holes A (H/2 from the ground) and B (3H/4…

A: The cross sectional area for hole A is aAnd the cross sectional area for hole B is a/100Heights of…

Q: Compute the moment arm for the force in cable C, measured relative to the AB axis. Use d₁ = 3.5 ft,…

Q: Find the internal forces at point J which is located 0.6 ft from the roller, given a= 1.2 ft and b =…

A: Given:The load is the value of the value of the height from j is

Q: 7-9. Determine the resultant internal loading on the cross section through point D of the pliers. 20…

A: Resolving Forces at D:

Q: Consider the frame shown in (Figure 1). Suppose that w = 410 N/m. Figure T 1.5m W D E 2m C 3 m +…

Q: A heat pump that operates on the ideal vapor-compression cycle with refrigerant-134a is used to heat…

A: Given:The mass flow rate is The condenser pressure is The evaporator pressure is from the steam…

Question

The strains measured by a rosette strain gauge are

&=0.004, & = -0.003, & = 0.002, at angles 0 = 0, 0, = 60°, 0 = 120°
С
a) Calculate the component strains: &, &, and Ky.
b) Calculate the principal strains.

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: Given data

VIEW

Step 2: Calculation of the components of strains

VIEW

Step 3: Calculation of the components of strains

VIEW

Step 4: Calculation of principal strains

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 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

An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
A 45° strain rosette (see figure 4) mounted on the surface of a car chassis gives the following readings: εA = 310×10−6, εB = 180×10−6 and εC = −160×10 −6. Determine the principal strains and maximum shear strains and show them on appropriately oriented element diagrams.
A 45° strain rosette (see figure) mounted onthe surface of an automobile frame gives the followingreadings: gage A, 310 X10-6 ; gage B, 180 X10-6 ;and gage C, -160X10 -6 .Determine the principal strains and maximumshear strains, and show them on sketches of properlyoriented elements.
A rosette consisting of 3 gages forming, respectively, angles of θa, θb and θc with the x-axis is attached to the free surface of machine components made of material with a given Poisson’s ratio v and Modulus of elasticity E as shown in Fig. 6. Take note that strain values given above are the gage readings and not principal strains. PLEASE ANSWER I,G,H
A point On a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the diagram below e) Find the three principle strains, absolute max shear strain and the max in plane shear strain f) Determine the principle strains (Ep1,Ep2) and the max in the plane shear strain in the correct schematic
A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube is r1 = 45 mm and the measured angle of twist betweenthe ends is 0.5°, what is the shear strain γ1 (in radians) at the inners surface? b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to bekept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius(r2)max?
a) The deformations for a material element in plane deformation (see figure 1) are the following: εxx = 480 × 10−6, εyy = −450 × 10−6 and γxy = −350 × 10−6. Using Mohr's Circle, determine the principal strains and maximum shear strains, and make an appropriately oriented sketch. b) And solve the exercise for the following data: εxx = −1120 × 10−6, εyy = −430 × 10−6, and γxy = 780 × 10−6.
Suppose that σx = 42 MPa A) Determine the normal stress σx′ that acts on the element with orientation θ = -17.8 ∘. B) Determine the normal stress σy′ that acts on the element with orientation θ = -17.8 ∘. C) Determine the shear stress τx′y′ that acts on the element with orientation θ = -17.8 ∘.
Suppose that a= 420 mm and b= 560 mm Part A: Determine the average normal strain along diagonal BD Part B: Determine the average shear strain at corner B relative to the x, y axis
3.For a body under three dimensional stress state, describe the procedure for obtaining the absolute maximum shearing stress at a given point. What is meant by strain transformation? Describe two procedures for obtaining stress form Mohr’s circle for strain.