• Using USD or ultimate strength design method, design a simply supported reinforced concrete beam 0.25 meters wide and 5.0 meters long, carrying only a wall load of 8.70 kN/m including its own weight. Keep the steel ratio within 2% and use 20 mm diameter reinforcing bars. Use fy = 414 MPa and fc'= 27.6 MPa and a minimum concrete cover 65 mm. Indicate the depth and reinforcing bars on the figure. %3D %3D Cone. cover number of

• Using USD or ultimate strength design method, design a simply supported reinforced concrete beam 0.25 meters wide and 5.0 meters long, carrying only a wall load of 8.70 kN/m including its own weight. Keep the steel ratio within 2% and use 20 mm diameter reinforcing bars. Use fy = 414 MPa and fc'= 27.6 MPa and a minimum concrete cover 65 mm. Indicate the depth and reinforcing bars on the figure. %3D %3D Cone. cover number of

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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Question 33 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. 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.
A rectangular reinforced concrete beam has a width of 300 mm and an effective depth of 400 mm. Concrete strength is f’c = 28 MPa and steel yield strength is fy = 280 MPa. a. What is the distance of the neutral axis from the top of the beam so that the strain in the concrete 0.003 will be attained at the same time with the yield strain of steel? b. What is the total compressive force on concrete? c. What is the balanced steel ratio?
1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.
The cross section of a reinforced concrete beam is shown below .( 5 - No . 10 bars )are designed as the bottom bars and No. 3 stirrups as the vertical reinforcement . Considering a clear cover thickness = 1.5 in , sketch the layout of reinforcement and show bar spacings per AC1318-19 . Assume maximum aggregate size = 1 in and the minimum required effective depth of bottom bars = 20 inches .
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.
Calculate the uniform load w (in addition to the beam weight) that will cause the section shown to begin to crack if used as a 28-ft simply supported beam. Use normal weight concrete with L=4000 psi. f = 60,000 psi, E₁=29,000 ksi, and the reinforced concrete weight = 150 lb/ft³. 4 in. 28 ft 4 in. 22 in. 30 in. 2 in. 2 in. 3 #9 ● ||—12 in—-|
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.
A simply supported beam 6.5m long, 350mmx500mm, prestressed with a straight tendon located 150mm below the neutral axis with effective prestressing force, Pe, of 300kN. Total load carried by the beam is 20kN/m. A. Determine the area of the concrete, mm2.B. Determine the section modulus of the concrete in x10^3 mm^3C. Determine the compressive stress caused by the tendon alone if Pe is at the centroid, MPa
A rectangular footing 23 m x 32 m x 0.34 m thick supports a 300 mm square column at its center. Column loads are service conditions: DL = 341 kN LL = 216 kN fc = 21 MPa fy = 415 MPa Concrete cover to the centroid of steel reinforcement = 100 mm Calculate the nominal punching shear stress in the slab Write your final answer with 2 decimal places if the unit is MPA
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.
A singly reinforced rectangular beam 350 mm wide and 450 mm deep is reinforced with 2-16-mm-diameter bottom bars enclosed with 10-mm-dia stirrups covered with 40 mm of concrete.Calculate the tensile steel strain compatible with concrete strain of 0.003. Use f'c = 26 MPa and fy = 370MPa. Express your answer in 4 decimal places