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Design problem in an unbraced frame—using loads and moments obtained using the requirements of the direct analysis method. Using the LRFD method, select the lightest W 10, 10 ft long beam-column in an unbraced frame. Based on a first-order analysis, the member supports the following factored loads:
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Chapter 11 Solutions
Structural Steel Design (6th Edition)
- A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = are at the same vertical position. 70 GPa, Oy,Dc = 200 MPa. Note that points C and D 4 m q B 3 m 3m Figure 2.1. Rigid beam with distributed loadarrow_forwardA variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of AB and BC beams are 2El and EI, respectively. If the axial rigidity of the BD bar is EA, Determine the reaction forces at the point A by using, Mohr method 7 AL ). 3 EA L P E2I C EIarrow_forwardA cantilever beam AB of length L = 6.5 ft supportsa trapezoidal distributed load of peak intensity q,and minimum intensity q/2, that includes the weight ofthe beam (see figure). The beam is a steel W12 X14wide-flange shape (see Table F-1(a), Appendix F).Calculate the maximum permissible load q basedupon (a) an allowable bending stress σallow =18 ksiand (b) an allowable shear stress τallow = 7.5 ksi.Note: Obtain the moment of inertia and section modulusof the beam from Table F-1(a).arrow_forward
- Problem 3 The frame shown is subjected to lateral loads acting at I and E. Assume all columns have the same cross sectional area. Note: all beams are 20 meters in length and all columns are 12 meters in height. Using Cantilever Method determine the following: 8 kN ... 10 kN F G H A В Darrow_forward1. Calculate the critical buckling load Per for the rigid bar AB shown below: P B C Α A lo 10 ft 30 ft k D Hino! 10 ftarrow_forwardFor the given properties of beam below. Compute the flexural capacity of the beam. b = 380mm d = 430mm d' = 70mm fc' = 30MPA fy = 315MPA As = 5- 36mm As' = 2- 28mm A. USE NSCP 2001, Mu = kN-m B. USE NSCP 2015, Mu = kN-marrow_forward
- Select the lightest weight stell wide-flange beam that will safely support the loading shown. The allowable bending stress is 24ksi and the allowable shear stress is 14ksi.arrow_forwardThe cast iron inverted T-section supports two concentrated loads of magnitude P as shown. Determine the largest allowable value of P if the working stresses in bending are limited to 48 MPa in tension, 140 MPa in compression and shearing stress of 30 MPa. 15mm P 150mm Aap D 3m 1m 15mm 1m B 150mmarrow_forward2. A simple steel beam is to carry the concentrated loads as shown in the figure. (a) Drav the shear diagram, (b) determine the maximum moment, and (c) determine the wide-flange shape that should be used from the list shown if the allowable normal stress for the grade of steel to be used is 110 MPa 60 KN/m 60 KN/m A B 4 m 1m2 m Shape W310x129 S (cm') 1955 Shape W310x202 S (cm) 5049 3423 W310x143 2155 W310x226 W310x158 2565 W310x253 3853 W310x179 2675 W510x285 4311arrow_forward
- Determine the maximum safe service live load that the beam can carry if the service dead load is 10kN/m including the beam weight and based on the capacity of the beam section shown. Use fc'=40MPA and fy=415MPa. top bars are 6-36mm and bottom bars are 3-36mm, center to center distance between the top bar layers is 108mm. WLL = kN/m 70 mm 108 mm 352 mm 70 mm 300 mm 7.2m 6.7m A В O Oarrow_forwardA simply supported beam has a maximum moment equal to 20 KN.m. The beam has a width of 200 mm and a depth of 250 mm and is made up of 80% grade Narra. What is the actual bending stress of the beam in MPa? Blank 1 (use two decimal places, no need for unit)arrow_forwardQuestion 6: Determine the LRFD design compressive strength for the shown built-up compression member composed of 2 channel (MC) sections welded to a plate. The effective buckling length of the member (KL=21 ft 2 in). Use steel with F, = 42 ksi. PL를X 12 KL = 21 A 2 in F, = 42 ksi Hint: Use parallel axis theorem to find moment of inertia about x and y axis. MC 13 x 50arrow_forward
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