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CE 113 CSULB Concrete Cylinder Experiment Exercise
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Zbr21
Engineering
CE 113
California State University Long Beach
CE
Description
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CE113 Structural Laboratory
Reinforced Concrete Beam—Assignment #2
Calculating Uncracked and Cracked Beam Sections (c, I)
Assignment #2 is an individual assignment to be submitted in draft form the week before
the concrete cylinder experiment and in final form the week after the concrete cylinder
experiment. For draft calculations, use values of assumed f’c and Ec as stated in lab.
The yield strength will be given by the instructor based on rebar tests (not performed by
the student).
1. Assignment #2 requires students to calculate the NA depth, c, and moment of
inertia, I, for the uncracked and cracked sections of their reinforced concrete
beam. Students should reference the mini-lectures available on the website.
2. Calculate the modular ratio, n. Use the average experimental value of Ec to
calculate the modular ratio. Es=29,000,000 psi. The modular ratio, n, is defined
as: n=Es/Ec.
3. Uncracked Section: Transform the steel to equivalent concrete to obtain the
transformed section and use statics to determine the uncracked transformed
moment of inertia, Itr. You will first need to determine the location of the neutral
axis with the area of steel, As, replaced with the equivalent area of concrete,
(n-1)As. Itr applies to sections before first flexural cracking.
4. Cracked Section: Calculate the cracked moment of inertia, Icr, which assumes
the concrete in tension has cracked. You will first need to determine the location
of the neutral axis with the area of steel, As, replaced with the equivalent area of
concrete, nAs (not (n-1)As). Compared to the uncracked section, the NA depth is
significantly reduced, as is Icr. An effective I, Ie, can be calculated to determine
deflections prior to yielding of the steel.
5. Prepare a table with the values of: f'c (ave), Ec (ave), n, ctr, Itr, ccr, Icr.
6. Prepare a very neat version of your calculations, with initials of one teammate
placed at the end of each major calculation, verifying the values are correct.
These calculations will go into the Appendix of your formal report.
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