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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 thelimiting ? 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 belt is wrapped around a pulley for 180 degrees. The loose-side belt tension is 100 lb and the coefficient of static friction is 0.30. Calculate the maximum belt tension if motion is impending.
If all the posts have the same original lenth before they are loaded, determine the average normal stress developed in each post when post C is heated so that its temperature is increased by 20 degrees F.
Did the moslem caliphates contribute to the fall of rome? if so how?
The probability density function, f(t), of the time in hours between storms during the summer in Miami is estimated as f(t) = .014e^(-.014t) if x > 0, f(t) = 0 if x is less than or equal to 0 where t is the time interval between storms in hours.
A vertical crest curve has an approach grade +6% and a departure grade -6%. The Vertical intersection point level is 125 m. It is proposed to use a curve 720 m long. Calculate the level at TPl.
The wall footing is used to support the column load of 12,000 lb. Determine the intensities w1 and w2 of the distributed loading acting on the base of the footing for equilibrium
a moist soil has a total unit weight of 110 pcf and a water content of 6 percent. assuming that hte dry unit weight is to remain constant , determine how much water , in gallons per cubic yard, must be added to increase the water content to 12 per..
A laptop has a four year life span with an initial cost of $900 and $100 salvage value. According to the straight line method what is the depreciation charges you expect on the laptop
Water flows uniformly in a 6 m wide rectangular channel at a depth of 0.8m. The channel slope is 0.0015 and n=0.014. Find the flow rate in m3/s
Determine the values of S and Z and the shape factor about the horizontal x axes. Use the web and flange dimensions given in the AISC Manual for making these calculations.
A new concrete mix is being designed to provide adequate compressive strength for concrete blocks. The specification for a particular application calls for the blocks to have a mean compressive strength greater than 1350 kPa.
investing in the General Motors costs $10,000 today and pays back $11,500 two years from now. If investing in the Ford costs $8,000 today and pays back $4,500 each year for two years, which alternative is inferior
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