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 9.1.4P
To determine
The nominal flexural strength of the composite beam given in problem 9.1-1.
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Solve for the centroid of the given composite structural section and determine the moments of area about the x-axisand y-axis.
The composite bar is firmly attached to unyielding supports. Compute the stress in each material caused by the application of axial load P=50kips.
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A composite beam is made of two brass [E-94 GPa] plates bonded to an aluminum [E-70 GPa] bar, as shown. The beam is subjected
to a bending moment of 1850 N-m acting about the z axis. Assume b-57 mm, d₁-43 mm, d₂-9 mm. Determine:
(a) the maximum bending stresses Obr. Gal in the brass plates and the aluminum bar.
(b) the stress in the brass brj at the joints where the two materials are bonded together.
2
Brass (2)
Aluminum (1)
Brass (2)
Answers:
(a) abr =
(b) Obrj
=
i
i
b
MPa, Gal = i
MPa.
MPa.
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 composite beam consists of A36 steel with 100mm thick reinforced concrete slab at the top. Span of beam is 6m. Compute the available strength of the composite if the value of S-3.0m. Use fc' = 21 MPa and fy=345 MPa Properties of W- Shape A=4,180 mm^2 d=312 mm k(des) 18.4 mm tw=6.6 mm L Assume that the beams are simply supported. What is the maximum design floor pressure load that can be applied (kPa) with exceeding the design moment capacity of the beams?arrow_forward06. The composite bar, firmly attached to unyielding supports, is initially stress-free. What maximum axial load P can be applied if the allowable stresses are 10 ksi for aluminum and 18 ksi for steel? Steel A = 2.0 in.2 Aluminum A = 1.25 in.2 E = 10 x 10° psi E = 29 x 10° psi SUMMARY OF ANSWERS P kips -15 in- -12 in.-arrow_forward06. The composite bar, firmly attached to unyielding supports, is initially stress-free. What maximum axial load P can be applied if the allowable stresses are 10 ksi for aluminum and 18 ksi for steel? Steel Aluminum A = 1.25 in.? E = 10 x 106 psi A = 2.0 in.2 E = 29 x 106 psi SUMMARY OF ANSWERS P kips -15 in: -12 in.- CS Scanned with CamScannerarrow_forward
- A composite bar BCD has a uniform external radius R, = 9cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R= 1cm bonded inside a steel sleeve. The lengths of the two segments are LEc= 2 m and Leo= 1 m. The material moduli are Ege= 200 GPa and E- 100 GPa. The bar is fixed at B and tensile loads are applied at section D (F»= 1000 kN) and at section C (Fc= 400 kN). Compute the following: What is the Axial stress of steel in segment BC in MPa? 2m B 1m D 400 KN 1000 KNarrow_forwardA composite section consisting of copper and steel carries an axial compressive force P. Both the materials have equal lengths. For steel, A_st=900 [mm] ^2,E_st=200 GPa,o (allowable,st)=140 MPa. For copper, A_cu=1200 [mm] ^2,E_cu=120 GPa,0_(allowable,cu)=70 MPa. Determine the maximum load (kN) the member can carry so that an allowable strain of 0.0005 is not exceeded. A) 210 kN B 105 kN 162 kN D 189 kNarrow_forwardQ2 For the composite beam shown, find the moment of resistance of the beam when the maximum bending stress in the timber s (14 MPa). For steel (E = 200 GPa) and for wood (E = 10Gpa) 2 A 7 7 r*arrow_forward
- The composite bar shown is firmly attached to unyielding supports. An axial load P- 269 kN is applied at 28 °C. Find the stress in the aluminum at 68 C. Assume a= 11.7 um/(mC) for steel and 23 um/{mC) for aluminum. Given: Ea =70 GPa, Aa - 968 mm, La - 228 mm, Es = 211 GPa, As=1,265 mm, Ls= 374 mm, Answer must be in MPa. Aluminum Steel La Lsarrow_forwardSolve 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 solutionsarrow_forwardProblem 2. A W12×58 acts compositely with a 5-inch-thick concrete slab. The effective slab width is 70 inches. Shoring is not used, and the applied bending moments are as follows: From the beam weight, Mbeam= 15 ft-kips From the slab weight, Malab = 80 ft-kips From the live load, ML = 150 ft-kips Do not consider the construction loads. Steel A992, and f. = 4 ksi. Determine whether the flexural strength of this beam is adequate. Assume full composite action and assume that the formwork provides lateral support of the steel section before curing of the concrete. Assume that W12x58 is a compact section.arrow_forward
- A composite bar BCD has a uniform external radius R. = 9cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R:= 1cm bonded inside a steel sleeve. The lengths of the two segments are LBc= 2 m and LCD= 1 m. The material moduli are Esee= 200 GPa and Ecoppe= 100 GPa. The bar is fixed at B and tensile loads are applied at section D (FD= 1000 kN) and at section C (Fc= 400 kN). Compute the following: Determine the total elongation of the assembly in mm. 2m B 1m D 400 KN 1000 KNarrow_forwardA composite bar BCD has a uniform external radius R. = 9cm. Segment BC is solid steel, while segment CD is composed of a copper core of radius R.= 1cm bonded inside a steel sleeve. The lengths of the two segments are LBc= 2 m and LCD= 1 m. The material moduli are Esel= 200 GPa and Ecoppe,= 100 GPa. The bar is fixed at B and tensile loads are applied at section D (F»= 1000 kN) and at section C (Fc=400 kN). Compute the following: Determine the axial stress of copper in segment CD in MPa. 2m B 1m D 400 KN 1000 KNarrow_forwarddetermine the moment of inertia of the composite area about x and y axis. a=3 b=6 c=3 d=4arrow_forward
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