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A beam of rectangular cross section 200 mm deep and 100 mm wide. If the beam is 3m long, simply supported at either end and carries point loads at 1m from the left end 5kN and 1m from the right end 10kN. Now I think I have worked out the maximum bending moment to be 8.4kNm at 2m from the left hand end correctly.
I now need to find (a) the maximum stress in the beam (b) draw a sketch graph of the stress distribution through the thickness of the beam indicating which are tensile and compressive.
Donovan Enterprises produces electric mixers. Demands for the next four quarters are: 40000, 20000, 30000,and 70000. Each quarter's demand must be satisfied in the same quarter. Production cost is estimated to be $30 per mixer. Due to limited number ..
A study conducted at a certain college shows that 63% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her ..
1. data from a national health survey show that mens average weight is normally distributed with a mean of 172 pounds
A volcano fills the volume between the graphs z=0 and z=1(x2+y2)10, and outside the cylinder x2+y2=1. Find the volume of this volcano.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
The total surface area of a square based open-top rectangular box is 12 cm^2. Find the dimensions of the box of maximum volume.
Prove that the projection onto the plane Y O Z of the intersection curve of an elliptical paraboloid x = y^2 + z^2 with a plane x - 2y + 4z = 0 is a circle of radius R = 3 centered at M (0, 1, -2).
find the probability based on normal distribution
A train travels 120 km in the same time that a plane covers 420 km. If the speed of the plane is 40 km per hr less than 4 times the speed of the train, find both speeds.
A horizontal rectangular fish tank with a base 2ft x 4ft and 2ft height is filled within 2in of the top. Find the fluid force against each side and against the end of the tank.
Real mean difference in interval
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
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