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two triaxial compression tests were performed on two prepared samples of the same limestone. At a confining pressure of 2000 psi, the first sample failed at 9000 psi. Then at a confining pressure of 5000 psi, the other sample failed at 21000 psi. (a) plot the 2 test results on a shear stress-nomal stress diagram and draw in the Mohr envelope. (b)determine the slope angle of the Mohr envelope. (c) what is the 'So' value? (shear strength or cohesion) (d) what was the shear stress on the failure plane at failure for both tests?
A torque of magnitude T = 1000Nm is applied at D as shown. Knowing that the diameter of shaft AB is 56 mm and that the diameter of shaft CD is 42 mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD.
The volume of the system is doubled from 1 m^3 to 2 m^3 while 200 kJ of heat is added to the system. If no work is done except for the boundary displacement work and the pressure remains constant at 101.3 kPa (1 atm) throughout the process,
consider x and y independant Gaussian random variables with zero means and unity variance. 1. for an arbitrary new random does the following hold p(x,y/z)= p(x/z)p(y/z)? 2. let z= x+y. write the explicit expression of the pdf p(x,y/z). use the Dir..
A trapezoidal channel is carrying water at a normal depth of 5.2 ft, the channel has a bottom width of 10 ft and side slopes of 2 H to 1 V. It is running on a slope of 0.005 ft/ft. What will be the shear stress in lb/ft^2 exerted on the channel be..
For a cantilever beam 20 ft long under a uniformly distributed load of 500 pounds/foot, calculate the deflection v and the slope dv/dx as a function of x by integrating differential equations.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis.
A turbine operates at steady state with steam flowing through it at a rate of 36 kg/min. The steam enters the turbine at a temperature of 600C and a pressure of 8 MPa and exits at a pressure 90% lower with a quality of 70%.
a closed tank contains two straified non misicble fluid layers and compressed air. the fluid of the tank is saline water (relative density 1.036) with a total depth of 3.5m. the top fluid layer is oil (relative density of 08.2) with a depth of 0.6..
write a function that calculates the average of a set of numbers. name the function calculate_average. the function should accept one input which is an array of numbers.
A water treatment plant is processing water at s flow rate of 0.26m^3/s. The hydraulic detention times for the rapid mix tank, flocculation basin and the rectangular sedimentation basin are 10 sec, 30 min, 60 min, respectively.
5 Kg of water at 1.2 MPa, 120oC is contained in a frictionless piston-cylinder device. The water is heated until its temperature reaches 250oC. a) a)Determine the work performed in kJ
The curve is to be redesigned for a 70 mph design speed in the year of 2025. Vehicle braking technology has advanced so that the recommended design deceleration rate is 25% greater that the 2011 value used to develop
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