
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:62. A simple span beam with a uniformly distributed dead load of 1.0 k/ft, plus its self-weight, and concentrated dead loads
of 2.5 kips and live loads of 8.0 kips at the quarter points of a 20-ft span, is to be designed with lateral supports at the
supports and mid-span. The live load deflection must be limited to 1/240 of the span. Use the correct Cb and be sure to
check shear. Determine the least-weight W-shape to carry the loads. Use A992 steel. Design by (a) LRFD
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Step 1: Introduce the problem statement
VIEW Step 2: Determine ultimate shear force and bending moment
VIEW Step 3: Deflection of beam due to live load
VIEW Step 4: Determine minimum moment of Inertia
VIEW Step 5: Assume a trial section
VIEW Step 6: Classify the section
VIEW Step 7: Determine Cb
VIEW Step 8: Check the beam for flexure
VIEW Step 9: Check the beam for shear
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- A 35-feet simply-supported floor beam, made of ASTM A572 Gr. 50 (Fy = 50 ksi) W18x50 hot-rolled section bent about its major axis, is to carry a superimposed uniform dead load of 0.45 kip/ft and uniform live load of 0.75 kip/ft throughout its entire span. The beam is braced against lateral deflection at its supports and at its midspan. Assess the adequacy of the beam to carry the given loads. Use IBC limits for satisfying deflection requirements. Use LRFD specifications.arrow_forwardA fully-restrained beam with span length of 10 meters was designed using ASTM A36 steel (Fy = 250 MPa) rolled as W16x57 section. Lateral bracing was only provided on the supports and on third points. The said beam is to be subjected to a super-imposed uniformly distributed dead load of 5.00 kN/m and a total uniformly distributed live load of 20.00 kN/m. The only deflection limit imposed for the design of the said structure is that its deflection at midspan due to total service loads should not exceed its span length divided by 150. Assess if the designed section for the beam is adequate for its purpose. Consider flexure, shear, and the imposed deflection limit. Use LRFD specifications. Assume unstiffened webs.arrow_forwardProblem 2: A simply supported beam made of f = 6000 psi concrete spans 80 ft between supports. The beam carries a dead load of 1.6 kip/ft and a live load of 2 kip/ft. a.) Using ACI code requirements, determine V₂ at the critical location. b.) Check if the section meets ACI code requirements for Vs,max. c.) At the critical section, find the required spacing (to the nearest inch) of no. 4 stirrups with a fyt = 60,000 psi. 00 00 00 00 6.5 00 50.25"arrow_forward
- An A572 Gr. 60 W21x48 steel beam which is 9m in length is subjected to uniform live load and dead load of 8 and 5 kN/m respectively throughout its entire span. Additionally, concentrated dead load of 25 kN and live load of 35 kN is acting on the midspan of the steel beam. Check the adequacy of the beam using LRFD method of NSCP 2015. Lateral bracing is provided only at the ends and at midspan. Properties of W21x50: d = 207 mm = 9,100 mm² 3 16.1 х 106 ттt = 1,520 x 103 mm³ = 52.1 mm %3D 334 х 103 = 8.89 mm = 523 mm = 10.9 mm 399 х 105 mmt - 156 х 103 тm3 = 42.2 mm = 1,750 x 103 mm³ b А tw W %3D = 72 kg/m = 23.6 mm = 513 mm %3D Ix ly Sx k %3D Sy ho %3D %3D ly Zx = 209 mm 3 1,060 х 109 Its %3D %3D %3D J Cw %3Darrow_forwardA 16 x 24 section is used as a simply supported RC beam on a span of 30 ft. The beam is subjected to a concentrated roof live load of 6 k at midspan in addition to a uniform dead load of 1.5 k/ft (excluding beam self-weight), snow load of 0.9 k/ft, and wind load of ±2.5 k/ft. Determine the governing factored moment on the beam. Do not ignore the self-weight of the beam. Assume the unit weight of concrete is 150 pcf.arrow_forwardPp-35 k PL 80 k 18 ft 8 ft A simply supported beam (AB) of 18 ft with an overhang (BC) of another 8 ft is loaded at the free end C with a concentrated service dead load of 35 k and a service live load of 80 k. The beam is laterally supported at both supports (at A and B) and there is no bracing at the free end (at C) of the cantilever. Neglect the weight of the beam, select the lightest W section of A 992 steel for this beam (ABC) that can safely carry the applied loads thearrow_forward
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