A force P is applied to ring A connecting the two wires together. As a result, point A is displaced horizontally d = 2.1 mm. If L = 252 mm and 0 = 38°, what is the normal strain developed in wire AC? L L.

A force P is applied to ring A connecting the two wires together. As a result, point A is displaced horizontally d = 2.1 mm. If L = 252 mm and 0 = 38°, what is the normal strain developed in wire AC? L L.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.2P: A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas....

See similar textbooks

Related questions

Q: Q4/ The corner of a 0.4m_ 0.3m 9.2 m cubic element is displaced to point C, whose coordinates are…

Q: The strains for an element of material in planestrain (see figure) are as follows: εx = 480 X 10-6…

A: Given data as per question εx=480×10−6εy=140×10−6γxy=−350×10−6

Q: 982. The strain components at a given point are x = -533 x 10, 6, = 67 x 10-6, and Y = -626 X 106.…

A: To find The stress components on the face whose normal is 45° from the X axis. Given The strain…

Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…

Q: In figure below, the shear force (Q) is equal to 150 kN. What is the shear stress (t) at the neutral…

Q: The stress-strain diagram for a steel alloy having an original diameter of 0.40 in. and a gage…

Q: The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The…

A: Solution.

Q: 1. A 150 inch long aluminum bar is subjected to a tensile stress of 25000 psi. Find the elongation.…

Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…

Q: The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The…

A: Solution.

Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm

A: Given data : Initial length=L Change in length=∆L To find : Strain

Q: The state of plain strain at a point in a body is given by €x = 800 x 10-6, €y = 200 x 1076, and yy…

Q: 1. A thin rectangular plate a = 20 mm x b = 12 mm (see figure below) is acted upon by a stress…

A: Given: To find: (a) The change in length of diagonal ACb) The shear strain, Yxv, along the length of…

Q: A steel wire having cross section area 2 mm2 is stretched by 10 N. Find the lateral strain produced…

Q: b) A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…

Q: The state of strain at the point on the pin leaf has components of ϵx=200(10−6)ϵx=200(10−6) ,…

A: Consider an element subjected to linear strains εx and εy in x and y-directions respectively and…

Q: The beam is supported by two wires AB and CD that have a diameter of 12 mm and 8 mm, respectively as…

Q: Calculate the longitudinal strain, if internal pressure is 1.2 N/mm2 and 1 m in diameter along with…

Q: The 45° strain rosette shown in Figure 5 is mounted on a machine element. The following readings are…

A: Given:

Q: The Strain along the length direction of the block subjected to 3 mutually perpendicular forces as…

A: Given , Px is positive , Py and Pz are negative

Q: The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6.…

Q: 1. The state of plain strain at a point in a body is given by = 800 x 10-6, y = 200 x 10-6, and yxy…

Q: Figure Q2 (b) shows a strain rosette that is attached on the surface of a production equipment. The…

A: For solution refer below images.

Q: rod ABC is applied with axial loading as shown in Figure Q4(a). Using E = 200 GPa, determine (i) the…

A: Given:E=200 GPaP=36 KNd=16 mmD=20 mmLAB=600 mmLBC=900 mm

Q: H.W. 3 The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain…

A: The strain is given at different angles which are giving below – The strain at any angle can be…

Q: A rectangular titanium plate has the following dimensions. a = 20 mm, b = 15 mm, and c=5 mm.…

Q: If a rubber material is deformed as shown in the following figure. determine the normal strain along…

Q: Q.4) By using the strain rosette shown in figure below, we obtained the following normal strain data…

A: GivenE=207Gpaν=0.29εa=770μεb=520μεc= -435μ

Q: Figure shows a strain rosette that is attached on the surface of a production equipment. The strain…

Q: For the plate in figure 1 below, determine the exact solution for i. displacements u(x), v(y) ii.…

A: (i) Here, p is pressure applied on the plate. Now, write the displacements. u(x)=-pxE

Q: IB applied at point B of the frame seen below forcing point B to move 2.0 mm to the right. rmine the…

Q: A 60° strain rosette is glued to a girder. Under certain loading conditions at an instant, the…

A: Given data, εa = Strain at strain rosette a = 4.4x78 μ = 343.2μ εb = Strain at strain rosette b =…

Q: If a rubber material is deformed as shown in the following figure, determine the normal strain along…

A: As, ∈x=320=0.15and ∈y=-2/20=-0.1 Initial angle, θ1=tan-12020=tan-11=45°

Q: A thin wire, lying along the x axis, is strained such that each point on the wire is displaced Δx =…

A: Given data: Each point P on the wire is displaced by the function, Δx = k·x2. Here, Δx is the…

Q: Figure 1: P = 400 kN 30° 1000 mm Area 30 mm 20 mm In Figure 1, if the Young modulus is 200 Gpa, the…

Q: The length and vertical cross-sectional areas of the bars of the lattice are given in the figure.…

A: To find: The total strain energy and the horizontal and vertical displacement at point C. Given: The…

Q: A round Steel rod of 100 mm diameter is bent into an arc of radius 100m. What is the maximum stress…

Q: If a rubber material is deformed as shown in the following figure, determine the normal strain along…

Q: Problem 3: For a given strain gage below; Ea = 0.001 %3D Eb = 0.002 ɛc = 0.004 60 60 Using the above…

Q: Find the strain Initial length=100 mm Change in length=0.567 mm

Q: The plate shown in Figure is fixed connected along with AB and held in the horizontal guides at its…

A: When the plate is deformed then in that case the diagonal AC becomes AC'. Then from the pythagoreous…

Q: A round Steel rod of 50 mm diameter is bent into an arc of radius 10m. What is the maximum stress in…

A: Any action that can change the state of motion is called force, Force is described by its magnitude,…

Q: For the steel plate with the plane stress state shown. If E 200 GPa, v = 0.3 and a=12*10 /C. if this…

A: Given: The modulus of elasticity, E = 200 Gpa The Poisson ratio, ν = 0.3 The coefficient of thermal…

Q: The material distorts into the dashed position shown, where d = 11 mm (Figure 1) Determine the…

Q: QUESTION 4 The following figure represents a cross section through a long opening. The magnitudes of…

Q: B 60 5 in. 8 in. A P 6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC…

Q: Calculate the longitudinal strain, if internal pressure is 1.2 N/mm2 and 1 m in diameter along with…

A: Given data: P=1.2 N/mm2d=1 mt=10 mmE=2×105 N/mm2μ=0.3 Need to determine the longitudinal strain.

Question

A force P is applied to ring A connecting the two wires together. As a result, point A is displaced
horizontally d = 2.1 mm. If L = 252 mm and 0 = 38°, what is the normal strain developed in
wire AC?
L

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 Free Body Diagram

VIEW

Step 2 Calculation

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

Similar questions

A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
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.
- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
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.
The strain at point A on the bracket has normal components 250x10-6 and 550x10-6 in x and y directions, respectively and shear component -600 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.
The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa = 650(10-6), ϵb = -550(10-6), and ϵc =470(10‑6). Determine (a) the in-plane principal strains and (b) maximum in plane shear strain.
F is being held by two cables AB and CB. If the applied force P creates a displacement at point E equal to 3 mm, calculate the strain in cable CB and AB.
When force P is apliced to the rigid arm BC, point B moves downward 0.2mm. Determine the normal strain developed in wire CD: ___ mm/mm. Calculate your answer to 4 digit place.
Show by integration that the strain energy of the tapered rod AB is U = 1/4 P^2L/EA min Now solve the problem again but add a torque at point B, which acts together with P as shown in the figure.
The state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy= 150(10-6). Use Mohr's circle to solve the problem. Determine the orientations of the element at which the principal strains occur. θp1= θp2=
If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD. C 2 mm 4 mm 15 mm A 15 mm Select one: O 0.0382 O 0.0853 O 0.0607 A O 0.0793 O 0.1281
The average normal strain and half the maximum in-planeshear strain is determined from the circle as the coordinates. True or false?