Right complete solution Problem 2 Design of Shear MembersA cantilever beam has a span of 3 m. The beam carries a uniform serviceload w = 22 kN/m includes the weight of the beam. There is no lateralsupport other than that at the fixed end.Properties of W 10 x 77258.83P|2.10w = 22 kN/m(K = 38.1d = 269.24h1.5 m.(K = 38.13 m.|22.10A = 14581 mm²Lp = 2.799 md = 269.24 mmL; = 13.811 mbị = 258.83 mmLb = 3 mtị = 22.10 mmFy345 MPa%3Dtw = 13.46 mmK = 38.10 mmSx = 1408 x 103 mm³E = 200,000 MPaZx = 1599 x 103 mm³a. Determine the value if the service load P due to the max. shearstrength of the beam using LRFD.b. Determine the value if the service load P due to the max. shearstrength of the beam using LRFD.c. Determine the value of the service load P due to the flexuralstrength of the beam using LRFD.d. Determine the value of the service load P due to the allowablebending strength of the beam using ASD.

Answered: Image /qna-images/answer/a4d852f2-3541-4599-8512-609f89ea4ab6.jpg

Problem 2 Design of Shear Members A cantilever beam has a span of 3 m. The beam carries a uniform serv: load w = 22 kN/m includes the weight of the beam. There is no later support other than that at the fixed end. Properties of W 10 x 77 258.83 P -- 2.10 w = 22 kN/m (K = 38.1 d = 269.24 h 1.5 m. (K = 38.1 ] 2.10 3 m. A = 14581 mm2 Lp = 2.799 m d = 269.24 mm L; = 13.811 m bị = 258.83 mm Lb = 3 m tf = 22.10 mm Fy 345 MPa %3D tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm³ a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable

Problem 2 Design of Shear Members A cantilever beam has a span of 3 m. The beam carries a uniform serv: load w = 22 kN/m includes the weight of the beam. There is no later support other than that at the fixed end. Properties of W 10 x 77 258.83 P -- 2.10 w = 22 kN/m (K = 38.1 d = 269.24 h 1.5 m. (K = 38.1 ] 2.10 3 m. A = 14581 mm2 Lp = 2.799 m d = 269.24 mm L; = 13.811 m bị = 258.83 mm Lb = 3 m tf = 22.10 mm Fy 345 MPa %3D tw = 13.46 mm K = 38.10 mm Sx = 1408 x 103 mm3 E = 200,000 MPa Zx = 1599 x 103 mm³ a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.5P: Two wood beams, each of rectangular cross section (3.0 in. x 4.0 in., actual dimensions), are glued...

See similar textbooks

Similar questions

A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.
.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA. (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q = 3.0 kips/ft on a span of length L = 12 ft (sec figure). The dimensions of the cross section are q = 10.5 in., b = 5.81 in., t1= 0.510 in., and fw = 0.300 in. Calculate the maximum shear stress tjuly on cross section A—A located at distance d = 2.5 ft from the end of the beam. Calculate the shear stress rat point Bon the cross section. Point B is located at a distance a = 1.5 in. from the edge of the lower flange.
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension don each side) and E = 12 GPa. If the allowable bending stress in the wood is °aLLow =10MPa, what is the minimum required dimension
A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.
A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.
The wood beam supports loads of w = 410 Ib/ft and P = 840 lb on span lengths of LAB = 10.8 ft, LBC = 5.4 ft, and LcD= 5.4 ft. The beam cross section has dimensions of bq = 1.9 in., dq = 5.7 in., b2 = 5.0 in., and d2 = 14.95 in. Determine the magnitude and location of: (a) the maximum horizontal shear stress in the beam. (b) the maximum tensile bending stress in the beam. %3D %3D P d d2 В C D LAB LBC LCD b2 Answer: (a) Tmax psi (b) Omax psi
Problem 1: The steel beam is constructed by welding three rectangular pieces into a complex cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about the horizontal neutral axis of the cross section (labeled NA). 10 mm 10 mm. 10 mm 40 mm 20 mm 20 mm M 10 mm 10 mm A (a) Determine the maximum tensile bending stress. (b) Determine the maximum compressive bending stress. (c) Determine the maximum transverse shear stress. (d) Determine the tra erse shear stress in the weld, which is located at point C.
Given the following properties of bridge deck girder: Barrier Weight, BW = 7.3kN/m Future wearing surface load = 1.20 kPa, Span length, L=12.0 m, Load of stay-in-place metal forms, wsmf=0.335kPa Unit wt of concrete, wc=23.54 kN/m³ Slab thickness = 200mm. •Determine the shear and moment per interior girder due to Dead Load, DC. •Determine the shear and moment per interior girder due to Dead Load, DW.