At a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy= -40 MPa, sigma zz = 20 MPa, tau xy = -40 MPa, tau yz = 20 MPa, and tau zx= 30 MPa. Determine: (a) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n, x) = 0.429 ; cos (n, y) = 0.514; cos (n, z) = 0.743

Q: The following stress condition is applied to a cubic material. Normal stress in the x direction is…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: For the state of stress given in the Figure below determine the following: 1. the principal stresses…

A: Given:σx=18 MPaσy=-14 MPaζxy=12 MPa

Q: For the three stress states given, find all principal normal stresses using the eigenvalue method.…

A: In eigenvalue approach, the eigenvalue represents the principal normal stresses and eigenvectors…

Q: The state of stress in a body is uniform and is given by: 0xx = 3MPa ; Txy = 2 MPa; Txz = 4MPa Tyy =…

A: Given state of stress in the matrix formgiven stress Tensor for the above   matrix the eigen values…

Q: At a point on a structural member subjected to plane stress, normal and shear stresses exist on…

A:

Q: 3. For a given state of stress, calculate stress tensor and force magnitude for a 3m² area with…

A: Given,

Q: Determine approximately the principal stresses of a point whose stress states are shown below.…

A: In the above stress diagrams,  are not given with values so considered 0.

Q: An alumin um rod with the rod axis oriented in the z-direction is subjected to T20 = 10MPa, which is…

A:

Q: A point On a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the…

A: GIVEN :- E = 214Gpa G= 83Gpa σy=15 MPaσx=-30 Mpaζxy=25 MPa

Q: A roadway sign weighs 5 kN and is supported by a structural pipe that has an outside diameter of 295…

A:

Q: Determine the maximum value of Qof the Transverse Shear Stress formula [T = (VQ)/(It)] at point p in…

A:

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

A: Answer:-

Q: (4) The allowable stresses are 60 MPa and 30 MPa for Material-a rod and Material-b rod,…

A: Write the net torque in the rod BC and AB respectively.

Q: 4. What are the maximum and minimum stresses for a circular hole in a plate subjected to pure shear?…

A: Step 1: Step 2:

Q: Consider a point in a structural member that is subjected to plane stress. Normal and shear stress…

A: The stepwise procedure to solve this problem is shown in the following attached image:

Q: (7) For the state of plane stress shown in the figure, determine the normal and shear stresses…

A: Given data: The stress in the x-direction is σx=-50 MPa The stress in the y-direction is σy=0 MPa…

Q: The following stress condition is applied to a cubic material. Normal stress in the x direction is…

A: To Find:the stress tensor.the maximum normal stress.the angle with respect to the x-axis at which…

Q: The state of stress at a point on a thin plate is as shown in the left side of the Figure below.…

A:

Q: An 6 mm diameter aluminum rod has lines scribed on it that are exactly 10 cm apart. After a 2.08 kN…

A: Given Data L=30 cm P=2.08 kN D=6 mm

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.