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1. Construct the Column Interaction Diagram for the given tied column at the following locations 18...
Answer the following questions for each cross-section below using the Equivalent Rectangular Stress Block (Whitney Stress...
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...
ACI code Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x...
ACI code
Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x 500 mm and is not in contact with the ground or exposed to the weather. Ties are #10 bars and longitudinal reinforcement is # 19. Concrete compressive strength is 42 MPa and steel yield strength is 420 MPa. Calculate the axial load carrying capacity, OP and flexural capacity OM, for point in the interaction diagram with bending about the 3-3 axis where the tensile...
For the tied column shown below, estimate the axial force, P, at the elastic limit (ε...
For the tied column shown below, estimate the axial force, P, at the elastic limit (ε 0.0005). The strength of the concrete is 4ksi and the rebar is Gr60. There are four #9 bars. 1 . 3" 3" 8" 5" 5" 2. Calculate the design strength, ФРа of this section in pure compression. For a column of the same geometry and reinforcement, calculate the axial force at the elastic limit if the concrete compressive strength is 6ksi. 3. Calculate the...
Problem 2. Plot (Excel plot) the nominal capacity interaction diagram of the column shown below by...
Problem 2. Plot (Excel plot) the nominal capacity interaction diagram of the column shown below by calculation (hand calculation) of the following points on the diagram and connecting them with straight lines. A) Pure compression, Mn=0 B) No tension in tension steel, fs=0 C) Balance point, Ec= ecu and €5=ey D) Tension controlled section limit, ec= ecu and es= 0.005 E) Pure bending, Pn=0 F) Pure tension, Mn=0 b f'c = 4 ksi fy = 60 ksi b = h...
Calculate the interaction diagram for the following 18" x 18" column with 4 #10 bars for...
Calculate the interaction diagram for the following 18" x 18"
column with 4 #10 bars for the following 5 control points:
1) Po when Mn = 0.
2) Pn and Mn for ec = 0.003 and es = 0.00207
3) Pn and Mn when ec = 0.003 and es = 0.005
4) Mn when Pn = 0
5) Pn = Tn and Mn = 0
Then plot the diagram with the correct PHI applied and the 0.8
or 0.85 for...
Please answer in numerical order. 1. Use ρ-p0.004 and choose (you decide) the number (3 to...
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 concrete beam measures 12 inches wide and has a depth of 26 inches. The...
A rectangular concrete beam measures 12 inches wide and has a depth of 26 inches. The centroid of the tension rebars is located 4 inches from the tension surface of the beam. Use fy = 60 ksi f’c = 3 ksi, compressive failure strain of concrete = 0.003. (A) Find the required tension rebars As to carry Mu = 5,700 kips-in. Show that the steel ratio does not meet the ACI requirements. (B) What can you do to meet ACI...
NAME: PROBLEM #1 A 10" X 18" reinforced concrete beam frames into a column that is...
NAME: PROBLEM #1 A 10" X 18" reinforced concrete beam frames into a column that is 18" wide. Beam reinforcing consists of 3 - #6 bars located at the top of the beam, and #4 stirrups at 6" 0.c. with 2 cover typical. Determine the development length required into the column. If the available development length into the column is not sufficient, utilize a 180 degree hook. Compressive strength of the concrete is 4,000 psi, yield strength is 60,000 psi,...
1) The strain in the steel at failure is most nearly: A. 0.002 B. 0.005 C....
1) The strain in the steel at failure is most
nearly:
A. 0.002
B. 0.005
C. 0.018
D. 0.023
E. 0.003
2) Find the development length of the # 8 bar in tension.
A 12 ft cantilever beam 21 in. wide x 30 in, deep is reinforced by four # 8 bars as shown. Given fc 4000 psi and fy 60,000 psi. 3 in. is the cover to the center of the # 8 bar 21" #8 bars are spaced...
For the beam shown use f-3000 psi and fy 60000 psi. 1- Compute the effective flange...
For the beam shown use f-3000 psi and fy 60000 psi. 1- Compute the effective flange width 2- Compute фМ, for the positive and negative moment regions and check ACI requirements for both sections. At the support, the bottom bars are in one layer and at mid-span, the # 8 bars are in the bottom layer and the # 7 bars are in a second layer. Assume 2.5 in concrete cover (from outside face of concrete to the center of...
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...
ACI code
Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x 500 mm and is not in contact with the ground or exposed to the weather. Ties are #10 bars and longitudinal reinforcement is # 19. Concrete compressive strength is 42 MPa and steel yield strength is 420 MPa. Calculate the axial load carrying capacity, OP and flexural capacity OM, for point in the interaction diagram with bending about the 3-3 axis where the tensile...
For the tied column shown below, estimate the axial force, P, at the elastic limit (ε 0.0005). The strength of the concrete is 4ksi and the rebar is Gr60. There are four #9 bars. 1 . 3" 3" 8" 5" 5" 2. Calculate the design strength, ФРа of this section in pure compression. For a column of the same geometry and reinforcement, calculate the axial force at the elastic limit if the concrete compressive strength is 6ksi. 3. Calculate the...
Problem 2. Plot (Excel plot) the nominal capacity interaction diagram of the column shown below by calculation (hand calculation) of the following points on the diagram and connecting them with straight lines. A) Pure compression, Mn=0 B) No tension in tension steel, fs=0 C) Balance point, Ec= ecu and €5=ey D) Tension controlled section limit, ec= ecu and es= 0.005 E) Pure bending, Pn=0 F) Pure tension, Mn=0 b f'c = 4 ksi fy = 60 ksi b = h...
Calculate the interaction diagram for the following 18" x 18"
column with 4 #10 bars for the following 5 control points:
1) Po when Mn = 0.
2) Pn and Mn for ec = 0.003 and es = 0.00207
3) Pn and Mn when ec = 0.003 and es = 0.005
4) Mn when Pn = 0
5) Pn = Tn and Mn = 0
Then plot the diagram with the correct PHI applied and the 0.8
or 0.85 for...
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...
NAME: PROBLEM #1 A 10" X 18" reinforced concrete beam frames into a column that is 18" wide. Beam reinforcing consists of 3 - #6 bars located at the top of the beam, and #4 stirrups at 6" 0.c. with 2 cover typical. Determine the development length required into the column. If the available development length into the column is not sufficient, utilize a 180 degree hook. Compressive strength of the concrete is 4,000 psi, yield strength is 60,000 psi,...
1) The strain in the steel at failure is most
nearly:
A. 0.002
B. 0.005
C. 0.018
D. 0.023
E. 0.003
2) Find the development length of the # 8 bar in tension.
A 12 ft cantilever beam 21 in. wide x 30 in, deep is reinforced by four # 8 bars as shown. Given fc 4000 psi and fy 60,000 psi. 3 in. is the cover to the center of the # 8 bar 21" #8 bars are spaced...
For the beam shown use f-3000 psi and fy 60000 psi. 1- Compute the effective flange width 2- Compute фМ, for the positive and negative moment regions and check ACI requirements for both sections. At the support, the bottom bars are in one layer and at mid-span, the # 8 bars are in the bottom layer and the # 7 bars are in a second layer. Assume 2.5 in concrete cover (from outside face of concrete to the center of...
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