Compare the cracking moment based on the gross section properties and the transformed section properties with...
For the cross section of Figure 4.1(a) and the given tensile
reinforcing areas, sketch the moment-curvature relationship. You
must include cracking, yielding, and concrete strain values of
0.003, 0.004, 0.005, and 0.006 on your plot.
a. As = (4) - #11 bars (equally spaced
in a single row)b. As = (6) - #7 bars (equally spaced in a single
row)
4.5. D Fi st 4.6. D the fo 36"- 2-½" typ 24" (a) = 4000 psi (b) f FIGURE P4.1
Cracking Moment (Uncracked Concrete Stage) Problem 1) Problem 2.6 (page 55, McCormac and Brown, gth Ed.) Note: Modify the total depth of the beam from 24" to 26" and the depth of the steel rebars from 21" to 23". Transformed Area Method (Concrete Cracked- Elastic Stresses Stage) Problem 2) Problem 2.13 (page 56, McCormac and Brown, 8th Ed.) Note: Make the following changes: Change fe to 5 ksi use the values and dimensions shown in the figure below 1) 2)...
2. A reinforced concrete beam has the cross-section shown below. This beam uses norm weight concrete with f 4,000 psi. Calculate the cracking moment and cracking curvature. ー5#9 29 in Gr. 60 Bars 32 in. トー 18 in. Figure for Question 2
Please answer in numerical order.
1. Use ρ-p0.004 and choose (you decide) the number (3 to 5) and size of steel bars from the attached table. Then proceed to determine (a) the size of the cross-sectional area, (b) the moment capacity of the RC section that you design, and (c) show where is the neutral axis on the diagram (or sketch a new one). 2.5" Given: fe 3,000 psi, fy -60,000 psi Concrete cracking strain 0.003 Initial yielding strain of...
A rectangular beam made using concrete of fc' = 6000 psi and steel with fy= 60 ksi. The beam has a width B=20 in and a total depth of 20 in with an effective depth d=17.5 in. The tensile steel consists of 4 #11 bars at the bottom side. a) Determine the maximum service load moment that can be resisted without stressing the concrete above 0.45fc' or the steel above 0.4fy. b) Calculate the nominal flexural moment capacity of the...
Assume a rectangular section with b=8in and d=12in, subjected to a positive moment greater than the cracking moment. For concrete with specified compressive strength of 4,000psi and steel Grade 60, what is the area of tensile steel that will move the neutral axis as far as possible down (towards the tensile steel side) per ACI. A. 5.525 in^2 B. 2.736 in^2 C. 1.978 in^2 D. 0.3168 in^2
Answer the following questions for each cross-section below using the Equivalent Rectangular Stress Block (Whitney Stress Block) for compressive stresses in the concrete. (72 total points) A. What is the nominal moment capacity of the beam (Ma)? [6 points) B. What is the distance from the top of the beam to the neutral axis (c)? [2 points] C. Assuming the concrete reaches a strain of 0.003, what is the strain in the extreme tension layer of reinforcing steel? Draw the...
The point loads are placed at the fixed positions shown in the figure and they are live loads. A B D E k w C (centre) a b f' = 32 Mpa fas= 3 MPa fsy = 500 MPa E = 200 GPa E = 28600 MPa A a Cross section The following values are used for the question. • 1 = 3 m load before cracking • 12 = 2.5 m • P = 2 kN • a =...
The point loads are placed at the fixed positions shown in the figure and they are live loads. A B D E k w C (centre) a b f' = 32 Mpa fas= 3 MPa fsy = 500 MPa E = 200 GPa E = 28600 MPa A a Cross section The following values are used for the question. • 1 = 3 m load before cracking • 12 = 2.5 m • P = 2 kN • a =...
The point loads are placed at the fixed positions shown in the figure and they are live loads. A B D E k w C (centre) a b f' = 32 Mpa fas= 3 MPa fsy = 500 MPa E = 200 GPa E = 28600 MPa A a Cross section The following values are used for the question. • 1 = 3 m load before cracking • 12 = 2.5 m • P = 2 kN • a =...