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 9.7.3P
To determine
The flexural strength of the composite section.
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2. Determine if the composite beam pictured below is adequate for this application
(this includes bending, shear, deflection and shear stud limit states). The dead
load for this beam is 10 psf plus the weight of the deck, which is made from
normal weight concrete.
I
5"
5" Normal weight slab
fc=4000 psi
W24x94
Span length = 30'
Service Live Load = 100 psf
3/4" Diameter Shear Connectors
8' o.c. typical
Fu=60 ksi (shear connectors)
Solve for the centroid of the given composite structural section and determine the moments of area about the x-axisand y-axis.
show fbd and complete solutions
1. A two span beam subjected to shear and flexure only is reinforced as follows:
SECTION: TOP BARS
@ MIDSPAN: 2-⌀20mm
@ FACE OF SUPPORTS: 5-⌀20mm
SECTION: BOTTOM BARS
@ MIDSPAN: 3-⌀20 mm
@ FACE IF SUPPORTS: 2-⌀20 mm
Given:
Stirrup diameter, ds = 10 mm
Concrete f'c = 21 MPa
Steel rebar fy = 415 MPa
Stirrup fy = 275 MPa
Beam size b x h = 270 mm x 450 mm
Assume all bars laid out in single layer.
Calculate the following:
a. Design Moment strength of section at midspan for positive bending = ______ kN·m (nearest whole number)
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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- Use the composite beam tables and select a W-shape and stud anchors for the following conditions: Span length = 18 6 Beam spacing = 9 ft Total slab thickness = 51 2 in. (the slab and deck combination weighs 57 psf). Lightweight concrete with a unit weight of 115 pcf is used Construction load = 20 psf Partition load = 20 psf Live load = 225 psf Fy=50 ksi and fc=4 ksi A cross section of the formed steel deck is shown in Figure P9.8-9. The maximum live-load deflection cannot exceed L/360 (use a lower-bound moment of inertia). a. Use LRFD. b. User ASD.arrow_forwardFind the ultimate moment of resistance for the rectangular section reinforced as shown below. material strengths: Concrete Reinforcement Width of section Reinforcement fcu= 30-MPa fy:= 450-MPa b:= 280 mm d:= 510 mm d':= 50-mm 2 A, 2410-mm A's:= 628-mm 2 b A', Hi Asarrow_forwardPlease give mathematical explanation with answerarrow_forward
- Please give explanations and formulasarrow_forwardA simply supported beam is reinforced with 5-p25 mm at the bottom and 2-020 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = mm Design strength of the beam section to the nearest whole number = kN -m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)arrow_forwardA two span beam subjected to shear and flexure only is reinforced as follows: SECTION @ MIDSPAN @ FACE OF SUPPORTS TOP BARS 2-16 mm diameters 5-16 mm diameters BOTTOM BARS 3-16 mm diameters 2-16 mm diameters Given: Stirrup diameter = 10 mm Concrete f'c = 21 MPa Steel rebar fy = 415 MPa Stirrup fy = 275 MPa Beam size b x h = 250 mm x 450 mm Assume all bars laid out in single layer. Calculate the following: Tensile steel ratio in positive bending at midspan Design Moment Strength of section at midspan for positive bending in kN-m Nominal Moment Strength of section at face of support for negative bending in kN-marrow_forward
- A two span beam subjected to shear and flexure only is reinforced as follows: @ FACE OF SUPPORTS SECTION TOP BARS BOTTOM BARS @ MIDSPAN 2-020 mm 5-020 mm 3-020 mm 2-020 mm Given: Stirrup diameter, de = 10 mm Concrete fe = 21 MPa Steel rebar fy = 415 MPa Stirrup fy = 275 MPa Beam size b xh= 270 mm x 450 mm Assume all bars laid out in single layer. Calculate the following: Tensile steel ratio in positive bending at midspan = (in 5 decimal places) Design Moment strength of section at midspan for positive bending = kN m (nearest whole number) Nominal Moment strength of section at face of support for negative bending = kN-m (nearest whole number)arrow_forwardSituation: A beam has a width of 300 mm and total depth of 600 mm strength f'c-36 MPa. Steel yield strength fy=415 MPa The section is to be reinforced for tension only and the effective concrete cover is 65 mm. Which of the following most nearly gives the value of our balanced steel ratio? a. 0.00370 b. 0.03456 C. 0.02860 d. 0.03522 Which of the following most nearly gives the value of our balanced distance of the cuter most fiber of compression fiber to our neutral axis? a. 313.256 mm b. 354.68 mm C. 333.333 mm d. 322.435 mm Which of the following most nearly gives the value of our balanced depth of compression block? a. 248.412 mm b. 266.2676 mm C. 301.478 mm d. 281.261 mmarrow_forwardA two span beam subjected to shear and flexure only is reinforced as follows: SECTION @ MIDSPAN @ FACE OF SUPPORTS TOP BARS 2-∅20 mm 5-∅20 mm BOTTOM BARS 3-∅20 mm 2-∅20 mm Given: Stirrup diameter, ds = 10 mm Concrete f'c = 21 MPa Steel rebar fy = 415 MPa Stirrup fy = 275 MPa Beam size b x h = 270 mm x 450 mm Assume all bars laid out in single layer. Calculate the following: Tensile steel ratio in positive bending at midspan = __________ (in 5 decimal places) Design Moment strength of section at midspan for positive bending = ___________ kN·m (nearest whole number) Nominal Moment strength of section at face of support for negative bending = ___________ kN·m (nearest whole number)arrow_forward
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