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

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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A simply supported A992 W30x99 (26-feet span) supports a uniformly distributed service dead load of…

Q: 12. Determine the available moment strength of an A572 Gr. 50 plate girder with a web plate of…

Q: The fixed beam ABhas a hinge M. Cat mid span. A concentrated load Pis applied at C. What is the…

A: FBD of beam :

Q: Question Determine the critical axial forces for which the member CD, as shown in the figure below,…

A: Given: Dead load, WD=1 k/ftLive load, WL= 2 k/ftWind load, Pw= 20 k

Q: A 66-foot long plate girder must support a uniformly distributed load and concentrated loads at the…

A: a) the girder cross section and the required spacing of intermediate stiffeners: Wu=1.2WD+1.6WL…

Q: 4. Design a rectangular beam with fy =60,000 psi, fc' =4000psi,and a reinforcement ration…

A: Consider the given data Calculate the ultimate moment load

Q: A simply supported rectangular beam 9 in. wide having an effective depth of 12 in. carries a total…

Q: 3 - The material of the beam given below is C35/45 – B420C and it is good quality concrete. The…

A: in the question given values are, bf =820mm bw =350mm t=130mm h=700mm concrete cover= 50mm…

Q: loaded propped beam in the figure below, design a singly reinforced beam (using the USD method and…

Q: Q9.7. A W24x176 of A572 grade 60 steel is used for a single span of 36 feet. If the only dead load…

A: Given data:- Length of single span, L=36 ft Section: W24×176 Material: A572 grade steel Fy=60 ksi

Q: Problem 2. Design a W section steel Fy=248 Mpa to carry a uniform load of 293 kN/m on a simply…

A: Strength of steel is Fy=248 MPa.Uniform load on the beam is w=293 kN/m.Span of the beam is L=1.5 m.

Q: Problem 1: Determine the flexural strength of a W 410 x 67 beam with a simple span of 8 m and Fy =…

Q: A propped cantilever of span L is carrying a vertical concentrated load acting at midspan. The…

Q: A W12x14 supports distributed dead and live loads over a simple span. wD 0.8 kip/ft, wL 0.3 kip/ft L…

Q: Determine if a W27 × 84 beam in an existing building can carry a point load of 120kips in the center…

A: Given data:Point load, Length of the beam, Steel grade A36, The beam is laterally braced for the…

Q: 2.) Determine the maximum load "w" (kN/m) that the box section can carry when used in a simply…

Q: A W310X86 beam with a yield stress of 345 MPa is simply supported over a span of 19.5 m and loaded…

A: Solution: Given: Section: W 310 x 86 beam fy = 345 MPa L = 19.5 m Zx = 1415842 mm3

Q: A 30-ft span wide-flange beam has the top flange braced at the center of the span and at each end.…

Q: Design a simply supported rectangular reinforced concrete beam for the span and service loads shown.…

Q: A prismatic beam having 28 mm x 40 mm is reinforced for flexure at the bottom with 3-016. It is…

A: Given that Section = 28mm X 40mm Which is not practically possible So Section = 28cm X 40cm b=…

Q: Q.33 A simply supported 18 m effective span RCC rectangular beam of 500 mm x 1500 mm (overall depth)…

A: Solution

Q: A simply supported rectangular beam 14 in. wide having an effective depth of 15.5 in. carries a…

A: Width = 14 ind= 15.5 inchFactored load- 10.382 kips/ftClear span - 25 ftReinforcement - 3.81 in2 of…

Q: The center-point loading flexure strength test was performed on a concrete beam having a cross…

A: To determine the flexure strength of concrete from the center-point flexure strength test. Give,…

Q: A simply supported rectangular beam 9 in. wide having an effective depth of 12 in. carries a total…

A: Width = 14 ind= 15.5 inchFactored load- 10.382 kips/ftClear span - 25 ftReinforcement - 3.81 in2 of…

Q: Determine the least I beam size needed to support a concentrated dead load of 7000lb plus the beam…

Q: Verify the available flexural strength of W18×50 shape for the beam shown below. The unfactored…

A: The objective of the question is to verify the available flexural strength of a W18×50 shape for a…

Q: For a given soil, the results of compaction test conducted in the laboratory are given in Table 1.…

A: MOISTURE CONTENT DRY DENSITY ZERO AIR VOIDγd=Gγw1+wG 12 16.34 20.50663 14 16.93 19.69873…

Q: A fully-restrained beam with span length of 10 meters was designed using ASTM A36 steel (Fy = 250…

A: Allowable Stress Design (ASD) is additionally observed because the service load design or working…

Q: The PI of a highway is located in a lake at point C. Stations A and B are selected to replace the…

A: Note:- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: A fully-restrained beam with span length of 10 meters was designed using ASTM A36 steel (Fy = 250…

A: Answer We can get the properties of section W 16 x 57 from AISC shape database Let us first check…

Q: A simply supported one-way floor slab with clear span of 3.5 m and with thickness of 150 mm is…

A: Given Data: Clear span of the slab is L=3.5 m. Thickness of the slab is t=150 mm. Dead load on the…

Q: A simply supported rectangular beam 14 in. wide having an effective depth of 15.5 in. carries a…

A: Width of the beam, b= 14 inEffective depth, d= 15.5 inchFactored load, w = 10.382 kips/ftSpan of the…

Q: Problem 2 A 10-ft-span cantilever beam has a rectangular cross-section (10" x 20 ") and…

A: The factored load Wu = 1.6x0.95+1.2x1.65 = 3.5 k/ft. The bending moment on the beam is b = 10'' and…

Q: 19. What is the available shear strength of the W24x68, ASTM A992 beam, if d 23.7 in G=0.415 in A)…

Q: Find the BM maximum of a overhanging beam supported at l/4 and 5l/4 from starting with pin support.…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

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

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 10 steps with 18 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

OSeatwork No. 1 (ltems 2 and 3) Using transformed area, what allowable uniform load can this beam support in addition to its un weight for an 8.5m simple span? Concrete weight - 2.400 kg m3. fs - 170 MPa. fe- 12.40 Mpa. 100mm 850mm 100mm 5- 32mm 550mm
"M1AQ59. For a loaded propped beam in the figure below, design a singly reinforced beam (using the USD method and NSCP 2015) for the positive moment. Give the complete details of the design. The total depth of the beam must not exceed 600 mm to ensure acceptable floor-to-floor vertical clearance. f'c = 29.1 MPa and fy = 414.4 MPa. It carries a super- imposed dead load of 100 kN/m and a live load of 39.1 kN/m all applied over the entire length of the beam. Other load and beam properties are the following: L1 = 6.6 m, L2 = 3 m, 12 = 0.75 of 1. Use a minimum concrete cover of 60 mm. Optimize the design such that the minimum percent difference of the moment strength with the actual moment is 1% but to avoid overdesign it's max percent difference is 5%. Design the rectangular beam details to provide: width, total depth, effective depth, number and diameter of tension bars (for two layers, provide number of bars in the upper and lower layer and vertical clear spacing between the 2 layers),…
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.
A 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.
Please use ASD method of design
Problem 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"
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 %3D
A 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.
Please solve this in minimum time
Design the 6m-simple beam that supports a uniform live load of 1200N/m and concentrated dead loads of 500 N located at one-third andtwo-third of the span (this excludes the beam weight). Assume arectangular section and the reinforcement will be placed 70mm fromthe concrete face. fc’ = 27 MPa and fy = 350 MPa.
Pp-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 the
SITUATION 1 A 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 ASD specifications. Assume unstiffened webs.