Stresses required to prevent vertical edges from displacing

Assignment Help Mechanical Engineering

Reference no: EM13709610

Resolve the problem below with the vertical edges constrained from displacing in x direction, but free to displace vertically. Determine the vertical displacement of the top edge and the stresses required to prevent the vertical edges from displacing.

A rectangular material sample (2 in tall and 1 in wide is subjected to a vertical tensile stress of 50,000psi on its upper edge. The bottom edge of the sample is constrained from displacing in the vertical, or y, direction but is free to expand or contract in the horizontal, or x, direction. The stresses throughout the sample are uniform. Determine the displacement in the y direction at the top edge of the sample. Determine the displacement of the vertical edge in x direction. Assume that conditions of plane stress apply and E = 29,000,000 psi (steel).

Reference no: EM13709610

Questions Cloud

Length of dislocation line per unit volume in material equal : The length of dislocation line per unit volume in a material equals the number of dislocations per unit area. Metals are hardened by cold working because many of the dislocations have passed right through the grains and are no longer available to fac..

A piston-cylinder system initially contains an ideal gas : A piston-cylinder system initially contains an ideal gas at {State 1} After an isothermal expansion process, the pressure of the gas in the cylinder drops to P 2bar 2? Please draw a schematic of the process 1-2 on a

Calculate the post-deformation radius of the second specimen : Two fully annealed cylindrical specimens of an alloy are to be hardened by reducing their (always circular) cross-sections in an extrusion process. For one specimen, the initial and post-deformation radii are 15mm and 12 mm, respectively.

Assuming the casting approximates semi-infinite medium : A large plastic casting with thermal diffusivity 6.0 x10^7 m2 /s is removed from its mold at a uniform temperature of 150 degrees C. The casting is then exposed to a high-velocity air stream such that the surface experiences a sudden change in temper..

Stresses required to prevent vertical edges from displacing : Resolve the problem below with the vertical edges constrained from displacing in x direction, but free to displace vertically. Determine the vertical displacement of the top edge and the stresses required to prevent the vertical edges from displacing..

Surface concentration during diffusion : For diffusion of Cu into Al at 1000 K for 10 hours, calculate the distance into the material at which the concentration of Cu will be 5% if the initial concentration of Cu in the Aluminium was 0.5% and the surface concentration during diffusion was 5..

Determine the change in pressure between these two locations : At a certain position in a piping system, a fluid with a specific gravity of 1.50 passes through an 8-cm diameter pipe with a velocity of 1.2 m/s. At some point downstream the elevation of the pipe has increased by 15 m and the pipe size has been red..

Determine the mass flow rate of air through the turbine : An adiabatic gas turbine expands air at 1,000kPa and 500C to 100kPa and 150C. Air enters the turbine through 0.200m^2 opening with an average velocity of 40 m/s and exhausts through a 0.910m^2 opening.

The diffusivity of copper in a commercial brass alloy : The diffusivity of copper in a commercial brass alloy is 10^-20 m2/s at 500'C. The activation energy for diffusion of copper in this system is 195 kJ/mol. Calculate the diffusivity at 600'C.

User Account

All Pages