The pressure distribution on a rectangular steel plate

Last updated: 2/17/2023

The pressure distribution on a rectangular steel plate supporting a load is modelled by the function x 1 y 2 MPa P x y 70 where x and y are in meters a Calculate the gradient of the pressure function Hence determine the rate of change of pressure at the point 0 1 in the direction of u i 2j 6 marks b If the dimensions of the plate is not known determine the location on the plate where the pressure is maximum and calculate this pressure Show that this pressure is both a local and global maximum 10 marks c If the plate is 1 m long by 2 m wide such that 0 x 1 0 y 2 determine the minimum pressure on the plate State any theorems used if any