Recent content by RAP1234

Homework Statement Write down the expanded form of the stress power SigmaijDij in the case of a general three dimensional state of stress, a two-dimensional state of stress, a uniaxial state of stress, a state of simple shear , and a spherical state of stress. 2. Homework Equations [/B]The...

Thanks for the response. I will have to fix that as P should be zero when z = h Update: Wonderful . After fixing it properly, everything seems to be within range. Thanks again for your help :)

I posted pictures of my new working below. I do appreciate the help

Thank you. I did fix the integration with the moment portion for the hydrostatic force from 0 t y = h/sin(theta)

so we would still take 3/2 to be the length of the lever arm, as gravity still acts at the centroid

I am getting an answer of the proper form, but the constant C in front of it I am not sure of. Will the moment due to the weight of the gate have a change in the length of the lever arm since it is partially submerged?

I integrated and evaluated the bounds of the definite integral from y = 0 to y = 3 BUT as you said before the water does not go to the height of the gate.I will fix this and get back to you.

Homework Statement A 3 m long gate of weight 4 kN per unit width is hinged at O and sits at an angle θ as a function of water height h above the hinge. (A) Using a y-axis measured up from the hinge, derive a general relation between h and θ, with all other variables evaluated in the relation...

1. The problem statement, all variables and given/know Say I have a can of water, and I am rotating it about its central axis at a constant angular rate. The water in the tank should make a 3D almost parabolic curve as it touches the the walls of the tank. Can I use Bernoulli's equation along...