STEEL DESIGN (LOOSELEAF)
6th Edition
ISBN: 9781337400329
Author: Segui
Publisher: CENGAGE L
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Chapter 6, Problem 6.8.9P
To determine
(a)
The design for a drift index using LRFD.
To determine
(b)
The design for a drift index using ASD.
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A bridge girder AB on a simple span of length L = 20 m supports a distributed load of maximum intensity q at midspan and minimum intensity q/2 at supports A and B that includes the weight of the girder (see figure). The girder is constructed of three plates welded to form the cross section shown.
(a) Determine the maximum permissible load q based upon an allowable bending stress sigma = 140 MPa. Round to the nearest tenth.
qmax = ___ kN/m
(b) Determine the maximum permissible load q based upon an allowable shear stress Tau = 60 MPa. Round to the nearest tenth.
qmax = ___ kN/m
An over hanging beam ABC of length 10 m (including over hang portion) is shown in the figure below. The
ratio of ILD ordinates at C to ILD ordinates at B for the shear force at B is
A
B
7 m
3 m-
2. Given a simply supported beam shown in figure below with the cross section at
maximum moment. The beam supports a uniform service dead load of WDL =30 kN/m
(excluding own weight of beam), PLL = 270 kN. Use fc' = 30 MPa; fy = 400 MPa.
Calculate design strength M, for the cross section shown in the figure. Check the
strains in the steel ɛsi.
P,
LL
75
100 -
- 75
90
W.
DL
710
650
5Ф30
15000 mm-
Chapter 6 Solutions
STEEL DESIGN (LOOSELEAF)
Ch. 6 - Prob. 6.2.1PCh. 6 - Prob. 6.2.2PCh. 6 - Prob. 6.6.1PCh. 6 - Prob. 6.6.2PCh. 6 - Prob. 6.6.3PCh. 6 - The member shown in Figure P6.6-4 is part of a...Ch. 6 - Prob. 6.6.5PCh. 6 - Prob. 6.6.6PCh. 6 - Prob. 6.6.7PCh. 6 - Prob. 6.6.8P
Ch. 6 - Prob. 6.6.9PCh. 6 - Prob. 6.6.10PCh. 6 - Prob. 6.6.11PCh. 6 - Prob. 6.6.12PCh. 6 - Prob. 6.6.13PCh. 6 - Prob. 6.7.1PCh. 6 - Prob. 6.7.2PCh. 6 - Prob. 6.8.1PCh. 6 - Prob. 6.8.2PCh. 6 - Prob. 6.8.3PCh. 6 - Prob. 6.8.4PCh. 6 - Prob. 6.8.5PCh. 6 - Prob. 6.8.6PCh. 6 - Prob. 6.8.7PCh. 6 - Prob. 6.8.8PCh. 6 - Prob. 6.8.9PCh. 6 - Prob. 6.8.10PCh. 6 - Prob. 6.9.1PCh. 6 - Prob. 6.9.2P
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- is strengthened by bolting two cover The wide-flange beam shown in Fig. plates 160 mm by 20 mm to the top and bottom flanges. If the maximum flexure stress is 140 MPa, compute the total force (a) in each cover plate and (b) in each flange. Neglect the weakening effect of the bolt holes. 160 mm 20 mm 20 mm 320 mm 20 mm €20 mmarrow_forwardA beam constructed from 2-in. by 8-in. boards has the cross section shown in the figure. If the maximum bending moment acting in the beam is M= 16 000 lb ft, determine the maximum bending stress in (a) board A; and (b) board B.arrow_forward9. A steel portal frame has dimensions, plastic moment capacities and applied loads as shown in the figure. The vertical load is always twice of the horizontal load. The collapse load P required for the development of a beam mechanism is P A B Mp K 2P 2Mp L с Mp D Larrow_forward
- Determine the axial force in the bars 1 & 4 of the tower shown in the figure due to a horizontal force P applied at joint I. State whether in tension or compression. P P h h G H G H h h E/2 F A a/2 a/2arrow_forwardA single span member is 3m in length is made up of Apitong 200mm x 300mm wooden section, with an allowable stress based on 80% stress grade. The beam carries a uniform load of 18 kN/m including its own weight. The beam carries an axial tensile load of 180 kN a.) Give the actual tensile stress if only tensile force is acting. b.) Give the interaction value of both bending and tensile stress. Determine whether the wooden section is safe or not. not redesign the wooden section. c.) Give the ratio of the difference between its actual bending and tensile stress to the adjusted bending stress for slendernessarrow_forwardThe beam shown here is made of wood with an allowable shear stress of τall = 1100 psi. If PB = 5 kips, determine the maximum allowable force PC that can be applied on the structure before the beam fails in shear.[LAB= 2 ft, LBC= 2 ft, LCD= 1.5 ft, b = 1.25 in., h = 7 in.] Determine the maximum value of the first moment of area (Q) for the beam. (in^3) Determine the maximum allowable force at C (PC) that can be applied on the structure before it fails in shear. (kips)arrow_forward
- Calculate the maximum flexural stress in 300mm by 600 mm rectangular beam if the applied moment is 20 kN.m Group of answer choices a.330 MPa b. 1.11 MPa c. 2.22 MPa d. 660 MPaarrow_forwardlength=7m height=250mm UDL on the beam=38.5KN/M d=812mm Mass of the beam=65.9kg/m a. Consider design loads( udl+self weight) b. Calculate and draw the Bending Moment Diagram (BDM).What is the value of the maximum bending moment? c. Calculate and draw the Shear Force Diagram (SFD).What is the value of the maximum shear force? d. Using the table, calculate the maximumdeflection of the beam.arrow_forwardThe beam shown in Figure 1 has lateral support at a, b, c, and d. Compute C, for segment b-c. (a) Use the unfactored service loads. (b) Use factored loads. k 12 ft b PD = 1.9 k PL = 5.5 k C 20 ft + Figure 1 WD = 0.6 k/ft WL = 1 k/ft 12 ft →arrow_forward
- For the cantilever beam with uniformly distributed load shown in Figure 2. Use (bf hf.bw, hw) for the I section from Table 2, determine the following: The maximum shear force in the beam in (kN) . The maximum bending moment in the beam in (kN.m) The area of the section in (mm?) The moment of inertia about the centroidal x axis 5The maximum shear stress at section I in (MPa) The maximum shear stress at section 2 (within the flange) in (MPa) The maximum shear stress at section 2 (within the web) in (MPa) The maximum shear stress at section 3 (at the neutral axis) in (MPa) The average shear stress on the section (MPa)arrow_forwardThe bridge truss shown carries the following uniform live load and concentrated live load. A B C D E 3m K FA G H se8m W(LL) P(LL) 15 110 Calculate the following: 9. Maximum force on member BCarrow_forwardDetermine the ultimate moment capacity of the beam shown using this data: bi = 900 mm t = 100 mm d = 450 mm As = 9852 mm² bw = 300 mm fy =276 MPa f'c = 28 MPa br As bwarrow_forward
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