1. The reinforced concrete cantilever retaining wall in Figure 1 is made with 3000 psi normalweightconcrete and reinforced with Grade 60 galvanized steel. The main reinforcement resists flexuralstresses in the stem and is specified as #7 bars every 18 in along the length of the wall. Thedistribution steel distributes stresses along the length of the wall and is specified as #4 bars at 12 inspacing. The concrete cover is 1.5 in everywhere. Calculate the development length for the mainreinforcement using the basic equation (ACI 318-19: 25.4.2.4). Assume no transverse reinforcement(Ker 0). Is the main reinforcement embedded deeply enough in the footing to fully develop its yieldstrength in tension?

The objective of the question is to calculate the development length for the main reinforcement of a…

Answered: 1. The reinforced concrete cantilever…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with a 4-20mm diamter bars and at the top with 2-16 mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f'c = 32.09 MPa and steel yield strength fy=345 MPa for 20mm bars and fy=275 MPa for 16mm bars. Determine the maximum steel area for a tension-conctrolled singly reinforced condition in positive bending with the given material strength.
Using the following details, Design the shear reinforcement along the length of the beam if it is reinforced with 3-25mm diameter rebars. Sketch the stirrup pattern. Unit Weight of Concrete = 23.123 kN per cu.m. Shear Strength Reduction Factor = 0.75 Clear Cover = 40 mm Beam dimension is 300mm x 500mm Stirrups, fy = 275 MPa Main Reinforcing Steel, fy = 415 MPa Concrete, fc' = 27.5 MPa. The 3-m-span cantilever beam (the free end on the right side) carries a uniform dead load of 30 kN/m (Beam weight not included), and a varying live load of 15 kN/m that reduces to zero at the end of the beam.
INELASTIC BENDING OF SINGLY REINFORCED CONCRETE BEAM SECTION *A trapezoidal concrete beam is casted with a compressive strength of about 20 MPa. The beam is reinforced with 3- 32 mm diamater bars in the tension zone with a yield strength of 275 MPa. The bar is located 100 mm from the bottom. Determine the nominal bending strength. Assume that the beam is symmetrical about the vertical axis with a depth of 600 mm, a top width of 500 mm, and a bottom width of 200 mm.
A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 27 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.004 upon crushing of concrete. Write the answer in 5 decimal places only.
rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 420 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. Determine the maximum steel area for a tension controlled singly reinforced condition in positive bending
Determine the additional longitudinal reinforcements (mm2) due to torsion of a rectangular beam with a width of 469 mm and an over-all depth of 632 mm. It is subjected to a factored torsion of 110 kN-m. The specified compressive strength of concrete is 21.70 MPa. The yield strength of tension reinforcements and stirrups are 348 MPa and 278 MPa respectively. Use 12 mm stirrups. Round off only on your final answer (3 decimal places).
A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. 1. Determine the tensile steel ratio for positive bending. 2. Determine the depth of the uniform rectangular stress block on the beam section at ultimate stage when subject to positive bending. 3. Determine the design moment capacity in kN•m of the beam in positive bending.
1.22 Calculate the design moment strength of the precast concrete section shown in Fig. 3.39 using = 4 ksi and f,= 60ksi. 589 20 19"
A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 350 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. 1. Determine the maximum steel ratio if the beam is singly reinforced in negative bending with the given material strengths and the tensile strain is limited to 0.004 upon crushing of concrete. Write the answer in 5 decimal places only. 2. Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.005 upon crushing of concrete. Write the answer in 5 decimal places only.
1. The strain profile of the section below with compression reinforcement was calculated with a computer program. All dimensions are to center of the reinforcements. Material properties: (a) (b) (c) Concrete, f'e = 4.0 ksi Steel, fy = 60.0 ksi Is the section tension controlled? What is the strength reduction factor (p)? Check if the forces in the section are in equilibrium. Do not correct them if they are not in equilibrium. What is the nominal moment resistance of the section? (4) #9- #5@4" (5) #11. (5) #11 -24"- SECTION 3" 3" 3" 48" 0.015 0.01 0.005 Strain diagram eps ecu epst 10.035 0.01 @lowest reinforcing steel Strain Profile 0 10 20 30 40 50 60 -0.005
Find the minimum theoretical width and height of a rectangular concrete section that will make the beam failure sufficiently ductile. Given: Two layers of 2-Ø25 mm bottom reinforcements fy=414 MPa f'c=35 MPa stirrup diameter=minimum required clear cover=minimum value for beam vertical clear spacing bet. Iayers=minimum value for beam height-to-width ratio=2.0 Note: Ductile failure occurs in beams when the extreme reinforcement layer is strained to 0.004 or greater.
Question 31 A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 350 MPa for 20-mm bars and fy = 230 MPa for 16-mm bars. Determine the design moment capacity in kN∙m of the beam in negative bending. Write the answer in 2 decimal places only.

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