Question

In: Mechanical Engineering

From the given shearing stress and normal stress as below: σx = -5MPa σy = 10MPa...

From the given shearing stress and normal stress as below:

σx = -5MPa
σy = 10MPa
τxy = -5MPa

Sketch the free body diagram of the stress element.
Determine and sketch the free body diagram for the principal stress using transformation equations.

Determine and sketch the free body diagram for the maximum shearing stress, correspond with the normal stress using the general transformation equations.

Solutions

Expert Solution


Related Solutions

Consider the following plane stress state: σx = 30 kpsi, σy = -10 kpsi, τxy =...
Consider the following plane stress state: σx = 30 kpsi, σy = -10 kpsi, τxy = 10 kpsi ccw Calculate the following: 1. The coordinates of the center of the Mohr's circle C The location of the center of the Mohr's circle C is (____kpsi, ______kpsi). 2. Principal normal stresses (σ1, σ2) The principal normal stresses are σ1 = _____kpsi and σ2 = ______kpsi. ​ 3. Maximum shear stress (τ) The maximum shear stress is ______kpsi. 4. The angle from...
Use a calculator to verify that Σx = 128, Σx2 = 6272, Σy = 150, Σy2...
Use a calculator to verify that Σx = 128, Σx2 = 6272, Σy = 150, Σy2 = 4778, and Σxy = 2966. Compute r. (Round your answer to three decimal places.) Sample size n = 5
Suppose X, Y, and Z are independent Gaussian random variables with σx = 0.2, σy =...
Suppose X, Y, and Z are independent Gaussian random variables with σx = 0.2, σy = 0.3, σz = 1, μx=3.0, μy=7.7, and μz = 0 Determine the following: (a) The joint PDF of X, Y, and Z (b) Pr( (7.6<Y<7.8) | (X<3, Z<0) c) The Correlation matrix and covariance matrix of X, Y, and Z
A cylinder(σY= 230 MPa)which is initially free from residual stress has internal radius b = 20...
A cylinder(σY= 230 MPa)which is initially free from residual stress has internal radius b = 20 mm and external radiusa= 50 mm. Determine: a)The maximum internal pressure without yielding the cylinder. Give your answer in MPa.[5 marks] b)The fully plastic internal pressure. Give your answer in MPa.[5 marks]c)The radius to which the material yields, when the pressure is 150 MPa. Give your answer in mm.[10 marks] c)The cylinder is loaded by internal pressure, pi, which, when released, causes residual stress...
A sleeve coupling is used to connect two 50 mm shafts whose safe shearing stress is...
A sleeve coupling is used to connect two 50 mm shafts whose safe shearing stress is 70 MPa. Design the sleeve when it is made of cast iron with an ultimate shearing stress of 140 MPa. Also determine the factor of safety for which the sleeve has been designed. The length of the key is half the length of sleeve and the section of the key is 12.5 mm x 12.5 mm, find the shearing and crushing stresses induced in...
A random sample from a normal population is obtained, and the data are given below. Find...
A random sample from a normal population is obtained, and the data are given below. Find a 90% confidence interval for . 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545 What is the upper bound of the confidence interval (round off to the nearest integer)?
A test is given and the average (μX) score was 190, with a SD (σX) of...
A test is given and the average (μX) score was 190, with a SD (σX) of 50. Assuming a normal distribution for the grades, find the dividing line (test scores) between the A's, B's, C's, D's, and E's. The bottom 13% will be assigned the E's, the next 13% will be the D's, 50% will be the C's, the next 15% the B's and the top 9% will be the A's.
Derive the transformation equations for normal stress and shear stress acting on the inclined plane (for...
Derive the transformation equations for normal stress and shear stress acting on the inclined plane (for 2D case)
X values and probabilities 1. Given μX = 750, σX = 100         a) find the...
X values and probabilities 1. Given μX = 750, σX = 100         a) find the p(X < 970)         b) find the p(X > 724)         c) find the p(617 < X < 980)         d) find X0 if p(X > X0) = .50         e) find X0 if p(X < X0) = .0643         f) find X0 if p(X > X0) = .4129         g) find the 23rd percentile of X         h) find the two X values...
Given μX = 8.3, σX = 3.2 a) Find Z1 such that prob(.35 < Z <...
Given μX = 8.3, σX = 3.2 a) Find Z1 such that prob(.35 < Z < Z1) = .3231 b) Find prob(-1.2 < Z < 2.7) c) Find prob(Z = .83) d) Find any Z0 and Z1 such that prob(Z0 < Z < Z1) = .4444
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT