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Given a reinforced concrete beam made with 3000psi concrete and grade 40 steel. The effective width is 12 inches, the beam depth is 24 inches and the reinforcement is 4#7 bars centered 2-1/2 inches from the bottom of the beam. The beam carries its own weight and a single live concentrated load of 28k at the center of a 20 foot simply supported span.
a) Determine the steel ratio.
b) Prove the beam is over or under reinforced based on the limiting ? for a tension controlled beam.
c) Determine the location of the neutral axis at failure (yielding).
d) Find the ultimate moment capacity according to ACI 318.
e) Determine the design moment (the factored moment caused by the beam loading).
f) Based on your solution to (d) and (e) prove whether or not this beam expected to fail?
A carpenter uses a hammer to strike a nail. Approximate the hammer's weight of 1.8lbs, as being concentrated at the head, and assume that at impact the head is traveling in the -j direction.
Suppose that a person who boards the elevator on the ground floor gets off on the fifth floor. Assuming that the elevator has achieved operating speed by the time it reaches the second floor and that it is still moving at its operating speed as it..
The four approach volumes per day at this intersection are 28,648, 23,856, 12,150, and 10,174. The crash totals for the last 3 years are 91, 96, and 87. What is the annual crash rate for this intersection
If a mechanical device requires 450J of work to do 310J of work in lifting what is the efficiency of the device?
Set up a table showing curve elevations at the PVC, at the PVT, and at the half-station points along the curve. Compute the station and elevation of the curve turning point.
Past experience indicates that the time for high school seniors to complete a standardized test is normal random variable with a mean of 35 minutes.
A particular soil has a total (moist) unit weight of 122 pcf and a dry unit weight of 101 pcf. The specific gravity of soil is 2.70. Calculate the water content and degree of saturation.
general price inflation is estimated to be 3% for the next 5 years, 5% the 5 years after that, and 8% the following five years. If you invest $10,000 at the market rate of 10% for those 15 years,
Considering both temperature and pressure to be variables, what is the largest number of phases that can coexist at equilibrium in a binary alloy?
The density of an ideal gas decreases by 10% when compressed isothermally from 10 atm to 11 atm. Determine the percent decrease in density of the gas if it compressed isothermailly from 1000 atm to 1001 atm.
A footing 3m X 3m carries a pressure of 500 kN/ m2 at a depth of 1m in a sand substrate. The saturated unit weight of the sand is 20 kN/ m3 and the unit weight above the water table is 18 kN/ m3.
establish a grass cover over a 10ha landfill. the root zone of the grass is 40cm deep. increase the volumetric water
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