Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 9, Problem 9.8.8P
To determine
(a)
The W-shape and design of stud anchors by using composite beam tables, partial composite action and a lower-bound moment of inertia and LRFD.
To determine
(b)
The W-shape and design of stud anchors by using composite beam tables, partial composite action and a lower-bound moment of inertia and ASD.
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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 = 280 MPa for 20-mm bars and fy = 230 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.
"Q2.15-.A rectangular reinforced concrete beam with a width of 260 mm and a total depth of 650 mm with concrete cover of 65 mm is subjected to a service moment of 127 kN-m. The beam is reinforced with 3- 20 mm dia bars. Use f'c = 27.7 MPa and fy = 428 MPa. Use transformed section method. Do the following: (1) Compute the distance of the neutral axis from the top of the beam, (2) Compute the maximum stress of concrete in MPa, (3) Compute the maximum stress of steel in MPa, and (4) Assess the adequacy of the beam design."
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.
Chapter 9 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 9 - Prob. 9.1.1PCh. 9 - Prob. 9.1.2PCh. 9 - Prob. 9.1.3PCh. 9 - Prob. 9.1.4PCh. 9 - Prob. 9.1.5PCh. 9 - Prob. 9.1.6PCh. 9 - A W1422 acts compositely with a 4-inch-thick floor...Ch. 9 - Prob. 9.2.2PCh. 9 - Prob. 9.3.1PCh. 9 - Prob. 9.3.2P
Ch. 9 - Prob. 9.4.1PCh. 9 - Prob. 9.4.2PCh. 9 - Prob. 9.4.3PCh. 9 - Prob. 9.4.4PCh. 9 - Prob. 9.4.5PCh. 9 - Prob. 9.5.1PCh. 9 - Prob. 9.5.2PCh. 9 - Prob. 9.5.3PCh. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Prob. 9.7.1PCh. 9 - Prob. 9.7.2PCh. 9 - Prob. 9.7.3PCh. 9 - Prob. 9.7.4PCh. 9 - Prob. 9.8.1PCh. 9 - Prob. 9.8.2PCh. 9 - A beam must be designed to the following...Ch. 9 - Prob. 9.8.4PCh. 9 - Prob. 9.8.5PCh. 9 - Prob. 9.8.6PCh. 9 - Prob. 9.8.7PCh. 9 - Prob. 9.8.8PCh. 9 - Use the composite beam tables and select a W-shape...Ch. 9 - Prob. 9.8.10PCh. 9 - Prob. 9.10.1PCh. 9 - Prob. 9.10.2P
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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.arrow_forwarda 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's=21MPa and steel yield strength fy=415MPa for 20mm bars and fy=275MPa for 16mm bars. determine the depth of the uniform rectangular stress block on the beam section at ultimate stage when subject to positive bending.arrow_forward34 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 0.005 upon crushing of concrete. Write the answer in 5 decimal places only.arrow_forward
- A doubly reinforced concrete beam has a max. effective depth of 630mm and is subjected to a factored moment of 1062 kn-m (including its own weight). fºc=27.58 MPa, fy = 413.4 MPa. Use 62.5 mm steel covering. 1. Determine the width of the beam. 2. Determine the reinforcement for compression. 3. Determine the reinforcement for tension.arrow_forward4.17. A rectangular beam made using concrete with f c ′ = 6000 psi and steel with f y = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f r = 530 psi. The elastic moduli of the concrete and steel are, respectively, E c = 4,030,000 psi and E s = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. ( a ) Find the maximum service load moment that can be resisted without stressing the concrete above 0 .45 f c′ or the steel above 0.40 f y . ( b ) Determine whether the beam will crack before reaching the service load. ( c ) Compute the nominal flexural strength of the beam. ( d ) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.arrow_forwardDetermine the tensile steel strain (in 5 decimal places) compatible with concrete strain of 0.003 for a singly reinforced beam 300 mm wide, 600 mm deep reinforced at the bottom with 6-ϕ20 mm bars with effective depth 518 mm. Use f’c = 21 MPa and fy = 420 MPa.arrow_forward
- A rectangular reinforced concrete beam has b=300mm and d=480mm, concrete strength f'c=34 mpa and steel yield strength fy=415 MPa. Compression reinforcement, if necessary, will be placed 70 mm from the extreme concrete in compression. For this problem, the dead load moment is 140 kn-m and the live load moment is 180 kn-m. a.) what is the value of the required moment in kn-m? b.) what is the value of the maximum steel ratio when the beam is singly reinforced? c.) what is the required tension steel area in mm^2? if M(subscript)d= 250 kn-m and M(subscript)L= 240 kn-m d.) determine the required tension steel area in mm^2 e.) determine the required compression steel area in mm^2arrow_forwardA doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2263 sq. mm at the bottom, and 1232 sq. mm on the top. Take d' = 70 mm, fc' = 21 MPa, and fy = 345 MPa. b) What is the value of fs' (actual stress of the compression bars)arrow_forwardTopic: Singly Reinforced Concrete A simply supported concrete beam 6m long is reinforced with four-28mm diam. tension barss. The beam has a width of 300mm and overall depth of 400m. The steel covering to the centroid of the reinforcements is 70mm, fc’= 30 MPa and fy= 418 MPa. A. Draw the stress diagram. B. Compute for the Ultimate capacity of the beam Note: Don’t conclude compression bars.arrow_forward
- Question 1 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. Determine the limiting tensile steel ratio for a tension controlled condition in positive or negative bending with the given material strengths. ρt = in 5 decimal places (ex. 0.00001) Determine the design moment capacity of the beam in positive bending. = kN∙m (whole number) Determine the design moment capacity of the beam in negative bending. = kN∙m (whole number)arrow_forwardA rectangular reinforced concrete beam has a length of 7.5 m. It is supported with a hinged at one end and a roller 2m from the other end. The width of beam is 350 mm and the overall depth is 550 mm. The beam is reinforced with 5D25 tensionreinforcement and 2D25 compression reinforcement located at 60 mm from the outermostfiber of the beam. The concrete strength fc = 28 MPa and steel yield fy= 390 MPa. Determinethe following:a. Sketch the beam and its cross sectionb. Stress in the compression steel.c. Moment capacity of the beam.d. Factored uniform load throughout the entire span of the beam that could carry.arrow_forwardPrinciples of Reinforced and Prestressed Concrete If assumptions are made, verify if assumptions are correct. A reinforced rectangular beam with a with of 275 mm and effective depth of 440 mm has 4 16mm bars placed in 1 layer at the tension side. The beam has a stirrup with diameter of 10mm. Use fc'=28MPa and fy=420MPa, L=3.85m, w0=19.25kN/m and wl=24.75kN/m. 1. Calculate the nominal moment capacity if the beam. 2. Calculate the strain of the tension bars. 3. Calculate the strength reduction factor of the beam.arrow_forward
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