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A rectangular beam made using concrete with f'c = 6000 psi and steel with fy=60000 psi has a width b= 20 in. The concrete modulus of rupture fr=530 psi. The elastic moduli of the concrete and steel are, respectively, Ec=4,030,000 psi and Es= 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars
a. Find the maximum service load moment that can be resisted without stressing the concrete above .45f'c or steel above .40fy
b. Determine whether the beam will crack before reaching the service load
c. Compute the nominal flexural strength of the beam
d. Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.
Samples of 20 rivets for a steel structure are checked for quality every hour. The probability of finding a bad rivet that has to be scrapped is 1%.assume that x is the number of parts in the sample of 20 that have to be scrapped.
The path of motion of a 7-lb particle in the horizontal plane is described in terms of polar coordinates as r= (3t+2) and theta=(0.2t^2-t) , where t is in seconds. Determine the magnitude of the unbalanced force acting on the particle when t=3s.
The saturated unit weight (sat) of the sand is 20.0 kN/m3 and the anticipated depth to water in the well during pumping is 20 m below ground surface.
Two simply supported beams are coupled so their centers have equal deflections. The upper beam has length L1 and lower beam has length L2. Determine the deflection of the center of the beams.
The car's gear reduction ratio is 3.5 to 1, driveline efficiency is 90%, driveline slippage is 3.5%, and the road-wheel radius is 15 inches. What will the car's maximum acceleration be under these conditions on a level road
Crates A and B weigh 300 lb and 110 lb, respectively. They are connected together with a cable and placed on the inclined plane. If the angle θ is gradually increased, determine when the crates begin to slide.
determine the components of the 800 lb force f along the oblique axes a and b. also, determine the projections of f onto the a and b axes
a circular aluminum tube of L=600 mm is loaded in compression by forces P. The outside and inside diameters are d2=75 mm and d1=63mm, respectively. A strain Gage is placed on the outside of the tube to measure normal strains in the longitudinal di..
Your company is considering the purchase of new earth moving equipment. The total purchase is $240,000 and we pay with $100,000 cash and borrow the rest. (12% per year nominal, compounded monthly for 5 years).
Assume that 200 g is the equivalent mass of the stick concentrated in the blade which contacts the puck. The coefficient of restitution of between puck and blade is 0.6. Find the velocity of the blade of the stick
Introduction to management science, The Dynaco Manufacturing Company produces a particular product in an assembly line operation. One of the machines on the line is a drill press that has a single assembly line feeding into it.
After 5 seconds the force is continuous at the 50 N level. Determine the velocity of the cart at t=8 seconds and calculate t at which the cart velocity is zero.
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