Parvinbhai A rectangular steel plate with thickness t = 11 mm is subjected to uniform normal stresses σx and σy, as shown in the figure.Oy11111BστXiStrain gages A and B, oriented in the x- and y-directions, respectively, are attached to the plate. The gage readings give normal strains &(elongation) and y = -312 × 10-6 (shortening).= 710 × 10-6Determine the stresses σ and σ. (Use the deformation sign convention. Enter your answers in MPa. Assume that the material is linearly elastic withoy'y'modulus of elasticity E = 200 GPa and Poisson's ratio v = 0.30.)σ156.043956xYour response differs from the correct answer by more than 10%. Double check your calculations. MPaMPaDetermine the change At in the thickness of the plate (in mm).mm

Step 1: Step 2: Step 3: Step 4:

Answered: A rectangular steel plate with…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.6.12P: Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is...

See similar textbooks

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 brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shortening
An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.
Plastic bar of diameter d = 32 mm is compressed in a testing device by a Force P = 190 N that is applied as shown in the figure. (a) Determine the normal and shear stresses acting: on all faces of stress elements oriented at (1 ) an angle 8 = 00, (2) an angle ?? = 22.5s, and (3) an angle ?? = 45°. In each case, show the stresses on a sketch of a properly oriented element. What are smaxtmax (b) Find smax and tmax in the plastic bar if a re-cantering spring of stiffness k is inserted into the testing device, as shown in the figure. The spring stillness is 1/6 of the axial stiffness of the plastic bar.
uniform diameter d= 1.75 in. Segment (1) is an aluminum Ę₁ = 10000 ksi L₁ = 90 in. Segment (2) is a copper Ę₂ = 17000 ksi L₂ = 126 in. When Pis applied, a strain gage attached to copper segment (2) measures a normal strain of &2 = 1700 uin./in. in the longitudinal direction. What is the elongation of segment (1)? Answer in inch rounded-off to 3 decimal places L₁ A (1) Aluminum B L2 (2) Copper
The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The following readings are obtained for each gage: ea, eb, and ec .Note that Be is negative. Determine: • Shear strain yxy • Principal strains e1 and e2 · The rotation angle (magnitude and direction) from x-axis to reach the principal orientation. Indicate direction as clockwise or counter-clockwise. epsilon a = 4.50E-04 epsilon k= 2.00E-04 epsilons = -1.00E-04 %3D y а b 45° 45°
The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are xx = -A(L - x)y, and oxy = A(h² - 4y²); other stress components are zero. Here, L represents length and h is height. What is the strain component y xy A - (h² - y²) 8E O A A 8G - (h²-x²) - (h²-x²) 8E А A= (h²-y:²) 8G ?
A 60° strain rosette attached to the aluminum skin of an airplane fuselage measures the following strains in micro-meters per inch: εa = 100, εb = -200, εc = 400. If E = 10 x 106 Psi and ν = 1/3. Compute the principal stresses and maximum shear stresses and their planes.

SEE MORE QUESTIONS

Recommended textbooks for you

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS