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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.
Conduct either a qualitative or quantitative risk assessment on this project. Identify the risk factors that you consider most important for the suspension bridge construction. How would you assess the riskiness of the project? Why?
Online professor's response to: Probability problems, A very rich investor has a small amount of spare cash which she wishes to invest. She has four options to choose from.
How do the crack behaves under the compression of a concrete cubes under friction between the plates and specimen with stress strain diagram?
Calculate the moments M_A and M_B about point A for the forces applied at points A and B. Then, determine the resulting couple moment M_R. Assume that a positive moment produces a counterclockwise rotation whereas a negative moment produces a cloc..
The section of the plywood in the 3rd quadrant is sawed off and the resulting piece is then glued squarely over the 4th quadrant portion of the plywood with glue of negligible weight.What are the x- and y-coordinates of the resulting center of gra..
What mass (in grams) of steam at 100°C must be mixed with 387 g of ice at its melting point, in a thermally insulated container, to produce liquid water at 26.0°C? The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg, ..
At a section in a beam the tensile stress due to bending is 70 N/mm 2 and there is a shear stress of 25 N/mm 2 . Determine from first principles, the magnitude and direction of the principal stresses and calculate the max shear stress.
consider x and y independant Gaussian random variables with zero means and unity variance. 1. for an arbitrary new random does the following hold p(x,y/z)= p(x/z)p(y/z)? 2. let z= x+y. write the explicit expression of the pdf p(x,y/z). use the Dir..
A horizontal curve was designed for a four-lane highway for adequate SSD. Lane widths are 12 feet, and the superelevation is 0.06 and was set assuming maximum fx.
A soil sample was taken from a proposed cut area in a highway construction project and sent to a soils laboratory for a compaction test, using the Standard Proctor compaction procedure. Results of the test are as follows:
Estimate the daily emissions of sulfur dioxide, nitrogen oxides as NO2, and particulate matter from an industrial steam-generating plant equipped with a dry-bottom pulvurized-coal firing system.
A CU triaxial test with σc = 20 psi is performed on a sand and a deviator stress of 80 psi fails the specimen. Previous tests revealed that the effective friction angle for this sand is 35°. Calculate the pore water pressure at failure.
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