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 9.7.1P
To determine
(a)
Lower bound moment of inertia and the deflection for a service load 1kip/ft.
To determine
(b)
Nominal strength of composite section.
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Principle of Reinforced/ Pre-stressed Concrete
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A W21 x 57 floor beam supports a 5-inch-thick reinforced concrete slab with an effective width b of 75 inches. Sufficient steel anchors are provided to make the beam fully composite. The 28-day compressive strength of the concrete is f,c = 4 ksi.
a. Compute the moment of inertia of the transformed section.
b. For a positive service load moment of 300 ft-kips, compute the stress at the top of the steel (indicate whether tension or compression), the stress at the bottom of the steel, and the stress at the top of the concrete.
Walkways and elevated platforms (other than exit ways) 60 (2.87) Uniform psf (kN/m^2)
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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- A W18 x 40 floor beam supports a 4-inch-thick reinforced concrete slab with an effective width b of 81 inches. Sufficient anchors are provided to make the beam fully composite. The 28-day compressive strength of the concrete is f,c = 4 ksi. a. Compute the moment of inertia of the transformed section. b. For a positive service load moment of 290 ft-kips, compute the stress at the top of the steel (indicate whether tension or compression), the stress at the bottom of the steel, and the stress at the top of the concrete.arrow_forwardQ2// A floor system consists ofconcrete slab supported by continuous beam h = 140mm , bw = 300mm,d = 550mm, f 28MPA, fy = with: %3D 420MPа. Determine the steel reinforcement required at mid span of interior beam to resist service dead load moment Ma = 320KN.m and service live load moment M = 250 kN.m %3! %3D 8m + 3m 4 3m 3m 1-1arrow_forward3) Calculate the nominal moment strength and the design ultimate moment of the precast T-beam shown in Figure if the beam span is 30 ft. Given: f=4000 psi, normal-weight concrete fy=60,000 psi Reinforcement area at the tension side: 2 in. 40 in. 4 No. 9 bars 10 in. 2.5 in. 20 in.arrow_forward
- SITUATION A: The floor system shown has the following applied loads. Super Imposed Dead Load = 2.00 kPa Live Load = 1.90 kPa Slab Thickness = 100.00 mm Weight of Concrete = 24 kN/m3 Self-Weight of the beam = 1.92 kN/m Material Specifications: f’c = 21.00 MPa fy = 345.00 MPa Steel Cover = 50.00 mm What is the maximum positive moment of beam BE, acting on the midspan? in kN-m What is the maximum steel ratio of the section located at the supports? What is the actual steel ratio of the beam section at the supports? What is the ultimate moment capacity of the beam at the supports? in kN-m What is the effective flange width at the midspan? in mm What is the height of the compression block of the section at midspan? in mm What is the ultimate moment capacity of the beam at the midspan? in kN-m What would be the height of the CHB that can be placed on beam BE? Assuming the weight of the blocks is 2.30 kN/m per meter height? in metersarrow_forwardA 300 mm X 450 mm exterior beam is reinforced with 2 – Ø20 mm and 1 - Ø25 mm bars on the first layer of tension reinforcement (larger bar is at the middle), 2 tension reinforcement, 3 – Ø25 mm for compression reinforcement and Ø12 mm for stirrups. From analysis the depth of the tension zone is 344 mm, if the tension steel has a yield strength of 420 MPa and the compression steel has a yield strength of 414 MPa. Determine the following using all the NSCP provision (larger bar always governs the spacing) to check and layout the beam: Ø25 mm on the second layer of - A. The compressive stress in the concrete B. The depth of compression block C. Ultimate Moment Capacity of the beamarrow_forwardA rectangular beam has b = 350 mm and d = 460 mm.the concrete compression strength is 30 MPa and the steelyield strength fy = 415 MPa. Calculate the required steelreinforcement area if the steel cover is 70 mm.use NSCP 2010 Md = 230 KN-mML = 160 KN-marrow_forward
- Reinforced concrete solutionsarrow_forwardCompute the long-term deflection of the beam at midspan if it is constructed for almost 12 months under a service load (15kN/m for dead load and 10 kN/m for live load) as shown in the figure if the compressive strength of concrete is 28MPA and the yield strength of the steel reinforcement is 414MPa. (mm) 300 mm Pu = 30 kN Wu = 25 kN/m 6m 4-25mmarrow_forwardThe concrete post is reinforced axially with four symmetrically placed steel bars, each of cross-sectional area 900 mm2. Compute the stress in each material when the 1000-kN axial load is applied. The moduli of elasticity are 200 GPa for steel and 14 GPa for concrete. Compatibiltiy Equation . Ust Bearing |1000 kN plate Steel- Concrete 300 mm 300 mm Section a-aarrow_forward
- A doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2063 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) %3D None of the Choices 216.070 MPa O 188.266 MPa 241.923 MPa 229.239 MPa 202.413 MPaarrow_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'c = 21 Pa 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.arrow_forwardB6arrow_forward
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