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A three-point bending test is performed on a glass specimen having a rectangular cross section of height d=5mm and width b=10mm; the distance between support points is 45mm.
A) compute the flexural strength of the load at fracture is 290N.
B) the point at maximum deflection delta(y) occurs at the center of the specimen and is described delta(y)=FL^3/48EI, where E is the modulus of elasticity and I is the cross-sectional moment of inertia. compute delta(y) at a load of 266N.
Determine the effective annual interest rate for a nominal rate of 8% per year, in which is compounded quarterly.
After falling from rest from a height of 32 m, a 0.45 kg ball rebounds upward, reaching a height of 22 m. If the contact between ball and ground lasted 1.5 ms, what average force was exerted on the ball?
A water sample has phenolphthalein alkalinity (PPA) of 30 mg/L as CaCO3 and total alkalinity (TA) of 84 mg/L as CaCO3. If OH alkalinity is 5.3 mg/L as CaCO3, Calculate the alkalinity due to HCO3- and CO3-2.
Given the binary variables x1,x2,x3,x4 and x5, formulate a set of constraints that will enforce x3,x4, and x5 to equal one if x1=1 and x2=0.
a) Find the free-flow speed and jam density for this relationship b) Derive equations depicting the relationship between flow and density, and speed and flow. Plot the resulting curves. Show the values of free-flow speed, jam density, and capactiy..
Two tests are taken from the compacted mixture and checked for density. Core 1 had a density of 150 pcf and an air void content of 6.5 %. Core 2 had a density of 151 pcf. What is the air void content of core 2
ABC is a triangular tract of land. The 1.5 tract DEFG is to be subdivided. AE is 480ft and DC is 350 ft. Determine the lengths of DG and CB. (Note 1 acre= 43,560 f^2)
how to find degree of kinematic indeterminacy
Water with a static pressure of 1.96kN/M2 flows through an 800 mm diameter pipe. A pitot tube pressure gage in this pipe reads a pressure of 5.88 kN/M2. How do you determine the volume flow rate (Q) of the water? (Q = 1.40 M^3/sec, V=2.79 M/sec)
A photograph is taken of a transverse wave travelling along a length of rope. At this instant the shape of the wave is described by y = (2 m) sin ((0.8 rad.m-1)x+0.8 rad). The speed of the wave is 2 m/s. Calculate the distance between two successi..
A particle moving along a straight line is subjectd to a deceleration a=(-2v^3)m/s^2 where v is in m/s. If it has a velocity v=8 m/s when t=0, determine its velocity when t=4s.
A stream with a flow of 22 mgd contains 180 mg/L of sodium cyanide in the form of NaCN. Chlorine can be added to destroy the NaCN waste according to the reaction shown below. Find the theoretical minimum amount of chlorine required (in lb/day).
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