# Question: Cylindrical sandstone laboratory test

Given a cylindrical sandstone laboratory test specimen of diameter D and height L subjected to a vertical load F (force), find

(a) Te forces N and T acting normal and tangential to a surface inclined at an angle θ to the vertical and

(b) Stresses, that is, the forces per unit area, σ and τ on the inclined surface in terms of the applied stress σo (F/A), where A is the area acted on by F. Illustrate with sketches. Note: The inclined surface is elliptical and has an area πab where a and b are the semi-axes of the ellipse.

(a) Te forces N and T acting normal and tangential to a surface inclined at an angle θ to the vertical and

(b) Stresses, that is, the forces per unit area, σ and τ on the inclined surface in terms of the applied stress σo (F/A), where A is the area acted on by F. Illustrate with sketches. Note: The inclined surface is elliptical and has an area πab where a and b are the semi-axes of the ellipse.

## Relevant Questions

Take the data at 363 K from problem 5.2. Can you distinguish which of the three isotherms – Langmuir, Freundlich, or Temkin – is the best obeyed? If so, which one? In a study of iron catalysts, the BET surface areas of a number of materials were determined using N2 or Ar physisorption near 80 K [71–73]. The Po values vary slightly because the bath temperature varied slightly around ...Given the stress state in Problem 1.11, find: the magnitude and direction of the maximum shear stress and illustrate with a sketch.The reforming of CH4 with CO2 to produce CO and H2 has been examined over a number of dispersed metal catalysts [67, 68]. At 723K, a CO2 partial pressure of 200 Torr, PCH4 = 200 Torr, and a total pressure of 1 atm (1 atm = ...Consider a three-dimensional state of stress characterized by: σxx = 3,000 σyy = 2,000 τxy = 0. σzz = 4,000 τzx = 0. τyz = 2,500 where units are psi and compression is positive. Find: the ...Post your question