A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a wall. A point c lies on its radius an angle (theta =30 degrees) from the positive Z axis.
1) Find the state of stress of a cubic element at location c assuming its in plane stress. Transverse shear for the circular crossection can be assumed to be tau = 4V/3A where V is the shear load and A is the area.
2) Assume C is now a small crack at angle (theta =30 degrees) from the positive Z axis located on the outer radius. Use a 2D stress transformation to tranform the stresses to find stress in the n direction, stress in the t direction, and shear in the t-n plane.
A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a wall. A point c lies...
A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel (b) the tangential speed of the point P...
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness t, and length L. The cylinder is subjected to an internal pressure p. The cylinder is also subjected to equal and opposite end torques T, as shown in Figure 1. At any point in the side wall of the cylinder, a two-dimensional coordinate system is established such that x,-axis is in the axial direction of the cylinder and the Xz-axis is in the circumferential...
In the stress block for Point K, if we want to use the equations to determine the stress normal to the dashed line what should we use for Sigma X? O Minus 15 MPa O Plus 20 MPa O Minus 20 MPa O Plus 15 MPa Question2 1 pts In the stress block for Point K, if we want to use the equations to determine the stress normal to the dashed line what should we use for Sigma Y? O...
A uniform disk with mass m = 9.04 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 309 N at the edge of the disk on the +x-axis, 2) a force 309 N at the edge of the disk on the –y-axis, and 3) a force 309 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 8.55 kg and radius R = 1.35 m lies in the xy plane and centered at the origin. Three forces act on the disk in the +y-direction (see figure below): (1) a force F1 = 335 N at the edge of the disk on the +x-axis, (2) a force F2 = 335 N at the edge of the disk on the ?y-axis, and (3) a force F3 = 335 N at the edge...
Q3 (30) A cylindrical pressure vessel is constructed from a long, narrow steel plate by wrapping the plate around a mandrel and then welding along the edges of the plate to make a helical joint α 55° with the longitudinal axis. The vessel has inner radius r-1.8 m and wall thickness t 20 mm. The material is steel with modulus E: 200 GPa and Poisson's ratio0.30. The internal pressure p is 800 kPa Helical weld . The helical weld makes...
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel 7.1 rad/s (b) the tangential speed of the point P (c)...
A wheel 2.30 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel rad/s (b) the tangential speed of the point...
The figure below shows a curve C, parametrized by (a) The point P lies on C, and its r-coordinate is 4. Find the value of t at the point P according to the parametrization, and find the y-coordinate of P. equation in terms of r and y. line 4. as shown shaded in the figure. Find the area of R. (b) The line is normal to C at the point P. Express the line l using an (c) The bounded...
Problem 5 A vertical well is drilled to point A (L-30ft) at constant angular velocity, the bottom end of drill pipe encounters a torsional resistance TA 30 kip ft. Also, the friction along the sides of the pipe creates a linear distribution of torque per unit length, varying from zero at the surface B to ta at location A. Known that the shear modulus of the drill pipe G = 1 . 1 x 1 Oksi and tA-10kip . ft...