Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
5th Edition
ISBN: 9781119175483
Author: William D. Callister Jr., David G. Rethwisch
Publisher: WILEY
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Chapter 3.21, Problem 42QP
To determine
The atomic packing factor of diamond.
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A simply supported rectangular RC beam is to carry a uniform factored dead load of 1.2 kip/ftand a concentrated factored live load of 16 kip at mid-span. The beam self-weight is not includedin these loads. The concrete weighs 135 pcf. The span length is 25 ft. Please find the smallestsection allowed by ACI and design accordingly. Use f c’ = 5,000 psi, f y = 75,000 psi. Theexposure is interior with no weather exposure.a. Assume an arbitrary self-weight/ft of the beam.b. Find the maximum factored bending moment in the beam.c. Set up the moment equation and solve for the beam section.d. Revise the assumption if needed.Hint: The beam section (b and h) and steel reinforcement are inversely proportional. The smallestallowable beam section will be for the largest allowable steel ration (ρmax), and vice versa. Sincethe steel ratio is fixed, two remaining variables (b, d) need to be found from the moment equations.Then, bd2 term can be solved to get an acceptable b and d combination.
Chapter 3 Solutions
Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
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