A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q = 3.0 kN/m (see figure). The beam is constructed of a wood member,100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. Find the maximum bending stresses o, and a, in the wood and steel, respectively, đue to the uniform load if the moduli of elasticity are E. = 10 GPa for the wood and E, = 210 GPa for the steel. q- 3.0 kN/m mm

A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q = 3.0 kN/m (see figure). The beam is constructed of a wood member,100 mm wide by 150 mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. Find the maximum bending stresses o, and a, in the wood and steel, respectively, đue to the uniform load if the moduli of elasticity are E. = 10 GPa for the wood and E, = 210 GPa for the steel. q- 3.0 kN/m mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.14P: -14 A simply supported composite beam with a 3.6 m span supports a triangularly distributed load of...

See similar textbooks

Related questions

Q: A cantilever beam of length L= 1 m supports a load P = 8 kN, shown in figure. The beam is made of…

Q: 15. A simply supported beam is 50 mm by 150 mm in cross section and 5 m long. If the flexural stress…

A: Given that, Cross-section of beam, A=50 mm×150 mm,Length of beam, L=5 m,Flexural stress of beam,…

Q: A rectangular plate with notches (see figure) has dimensions h=5.75 in, h1 = 5 in and the plate…

Q: A laminated plastic beam of square cross section is built up by gluingtogether three strips, each 10…

A: Given total weight , W = 3.6 N, span length, L = 360 mm τallow=0.3 MPa σallow=8MPa We need to…

Q: 4.44 For the 8-in. I-beam shown in figure below, compute the maximum transverse shear stress (use…

A: First let us determine the moment of inertia of the section Moment of inertia about neutral axis =…

Q: maximum shear stress and normal stress in the beams.

Q: H.W.3 /The simply supported beam in Figure below has a rectangular cross section with dimension (30…

Q: A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q=3…

Q: A simple beam of span length 3.2 m carries auniform load of intensity 48 kN/m. The cross sectionof…

A: Given data: The length of the simple beam is L = 3.2 m. The uniform load can be given as F = 48 kN/m…

Q: (6) For the composite beam shown in the figure, which is bended about a horizontal axis by a couple…

Q: Example 4 The simply supported beam in Figure below has a rectangular 3kN cross section 100 mm wide…

A: Given: Uniform distributed load at the beam is, w=1.5 kN/m . Point load acting at point B is 3 kN .…

Q: A cantilever beam AB, loaded by a uniformload and a concentrated load (see figure), is constructedof…

A: calculate the maximum bending moment for the cantiliver beam which accours at…

Q: A laminated plastic beam of square cross section is built up by gluing together three strips, each…

Q: A small balcony constructed of wood is supported by three identical cantilever beams (see figure).…

A: Given Length, L = 2.1 m Bending stress = 15 MPa Weight density = 5.5 kN/m3 Find Dimensions, b

Q: A steel beam is built up from a W 410 x 85 wide flange beam and two 180 mm x 9 mm cover plates (see…

A: To find: The required bolt spacing in longitudinal direction. Given: The allowable load in each bolt…

Q: A beam with a guided support and 10 t span supports a distributed load of intensity a630 Ib/t over…

A: Given:

Q: A cantilever beam of length L = 6 ft supports a uniform load of intensity q = 200 lb/ft and a…

Q: Consider a wood beam (see figure) carrying a uniform load of 13.5 kN/m (which includes the weight of…

A: In this part, each part is having 2 unknowns so we will solve first part for you. Please resubmit…

Q: A horizontal beam AB with cross-sectional dimensions (b = 0.75 in.) X (h = 8.0 in.) is supported by…

Q: A cantilever beam of length L = 2 m supportsa load P = 8.0 kN (see figure). The beamis made of wood…

A: Consider a beam of rectangular cross-section having width b and depth h. Then, shear stress…

Q: Calculate the maximum shear stress τmax and the maximum bending stress σmax in a wood beam (see…

A: Draw the free body diagram of simple supported beam-

Q: EIn the Figure below, a cantilever beam is subjected to an inclined force (P); calculate the: 1-…

A: (a) The normal stress: 144.3375 kPa. (b) The shear stress: 83.3333 kPa.

Q: A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 165 kN, acting as…

Q: The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the…

Q: A simply supported composite beam 2 m long carries a uniformly distributed load of intensity q = 2.3…

A: (a) To Find : The maximum bending σw and σs. Given : The uniformly distributed load intensity is :…

Q: A laminated plastic beam of square cross section is built up by gluing together three strips, each…

A: GIVEN: TO FIND:

Q: A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting…

Q: A steel beam ABC is simply supported at Aand B and has an overhang BC of length L =150 mm(see…

A: Given: To determine: a) Disregarding the weight of the beam, the required width b of the…

Q: A laminated plastic beam of square cross section is built up by gluing together three strips, each…

Q: The Cantilever beam ABC in figure below (a) consist of two segment AB and 21, for segment BC.…

A: When any beam is subjected to load, the beam tends to deviate. When a beam deflects, the neutral…

Q: Box-section cantilever beam in the figure bears. Safety stresses in pressure and tension…

A: “Since you have posted a question with multiple sub-parts, we will solve first two subparts for you.…

Q: A simply supported wood beam of rectangular cross section and span length 1.2 m carries a…

Q: A simple beam AB supports five equally spaced loads P (see figure). Find the reactions at the…

Q: Ahorizontal beam AB with cross-sectional dimensions 4 ft -5 ft Ab # 075 in.)X h#8.0 in. is supported…

Q: H.W 4 A simple beam on a 10 ft span supports a uniform load of intensity 800 lb/ft (see figure). The…

A: Answer: (a) The maximum bending stress in the wooden member is 365.5064 psi. (b) The maximum bending…

Q: A horizontal beam AB of 1.8-2 cross-sectional dimensions (b X h = 19 mm x 200 mm) is supported by an…

Q: A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting…

Q: A rectangular section of dimensions 120 x 200 mm is used as a beam on a 3 m span. If the beam is…

A: Simply Supported beam : it is the basic structure with pinned support or roller support at the end…

Q: A composite beam is made of two brass [E =101 GPa] plates bonded to an aluminum [E =64 GPa] bar, as…

Q: A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed…

A: If the cross section has the dimensions stated and the moment of inertia about the z-axis is 3.10…

Q: aluminum steel t A composite beam is a built-up section made of aluminium and reinforced with a…

Q: A cantilever beam of length L= 3 m supports a load P = 10 kN, shown in figure. The beam is made of…

Q: A wide-flange beam (see figure) is subjected to a shear force V. h h Using the following dimensions…

Q: Beam ABCD is simply supported at B and C and has overhangs at each end (see Fig, a). The span length…

A: Here two different types of loading are being applied on the overhanging beam ABCD. Shear forces and…

Q: A cantilever beam with rectangular cross section is loaded as shown in figure. Plot the maximum…

A: given; load=Pwidth=bheight=hlength=L

Q: A circular cross-section Beam has a simple headstock from the ends, as shown in the figure, Q is…

Q: A composite beam consisting of fiberglass faces and a core of particle board has the cross section…

Q: A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q 3.0…

Q: A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity…

Question

A simply supported composite beam 3 m long carries a uniformly distributed load of intensity
q = 3.0 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150
mm deep, reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. Find the
maximum bending stresses a, and a, in the wood and steel, respectively, đue to the uniform
load if the moduli of elasticity are E, = 10 GPa for the wood and E, = 210 GPa for the steel.
9=-3.0 kN/m
150 mm
mm
100 mm

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 1 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A wood beam 8 in. wide and 12 in. deep (nominal dimensions) is reinforced on top and bottom by 0,25-in.-thick steel plates (see figure part a), (a) Find the allowable bending moment A/max about the z axis if the allowable stress in the wood is 1100 psi and in the steel is 15,000 psi, (Assume that the ratio of the moduli of elasticity of steel and wood is 20.) (b) Compare the moment capacity of the beam in part a with that shown in the figure part b which has two 4 in. × 12 in, joists (nominal dimensions) attached to a 1/4 in, × 11.0 in, steel plate.
A propped cantilever beam of length L = 54 in. with a sliding support supports a uniform load of intensity q (see figure). The beam is made of steel {<7y = 36 ksi) and has a rectangular cross section of width/) = 4.5 in. and height h = 6.0 in. What load intensity q will produce a fully plastic condition in the beam?
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
A hollow box beam with height h = 16 in,, width h = 8 in,, and constant wall thickness r = 0.75 LiL is shown in the figure. The beam is constructed of steel with yield stress ty = 32 ksi. Determine the yield moment My, plastic moment A/p, and shape factor.
A cantilever beam AB of length L = 6.5 ft supports a trapezoidal distributed load of peak intensity 4, and minimum intensity q/2tthat includes the weight of the beam (see figure). The beam is a steel W 12 × 14 wide-flange shape (see Table F-l(a), Appendix F). Calculate the maximum permissible load q based upon (a) an allowable bending stress eallow = 18 ksi and (b) an allowable shear stress eallow = 7,5 ksi. Note: Obtain the moment of inertia and section modulus of the beam from Table F-l(a).
A W 12 x 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure) jointly resist a positive bending moment of 95 kip-ft. The beam and slab are joined by shear connectors that are welded to the steel beam. (These connectors resist the horizontal shear at the contact surface.) The moduli of elasticity of the steel and the concrete are in the ratio 12 to 1. Determine the maximum stresses r1 and xtin the steel and concrete, respectively. Note: See Table F-l(a) of Appendix F for the dimensions and properties of the steel beam.
A cantilever beam with a uniform load (see figure) has a height h equal to 1/8 of the length L. The beam is a steel wide-flange section with E = 28 X 106 psi and an allowable bending stress of 17,500 psi in both tension and compression. Calculate the ratio S/L of the deflection at the free end to the length, assuming that the beam carries the maximum allowable load. (Use the formulas of Example 9-2.)
A propped cantilever beam A BC (see figure) has a shear release just right of the mid-span. (a) Select the most economical wood beam from the table in Appendix G; assume4 = 55 lb/ft, L = 16 ft, o~aw= 1750 psi, and raw= 375 psi. Include the self-weight of the beam in your design. (b) If a C 10 x 25 steel beam is now used for beam ABC, what is the maximum permissible value of load variable q? Assume üi = 16 ksi and L = 10 ft. Include the self-weight of the beam in your analysis.
A cantilever beam AB of length L = 6 It is constructed of a W 8 x 21 wide-flange section (see figure), A weight W = 1500 lb falls through a height h = 0.25 in. onto the end of the beam. Calculate the maximum deflection £m.iy of the end of the beam and the maximum bendini* stress *rm,vdue to the falling weight, (Assume E = 30 X 10 psi,)
A composite beam consisting of fiberglass faces and a core of particle board has the cross section shown in the figure. The width of the beam is 2,0 in., the thickness of the faces is 0,10 in., and the thickness of the core is 0.50 in. The beam is subjected to a bending moment of 250 lb-in, acting about the - axis. Find the maximum bending stresses tr(and ctc in the faces and the core, respectively, if their respective moduli of elasticity are 4 x 106 psi and 1.5 x 106 psi.
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?
A wood beam with cross-sectional dimensions 200 mm x 300 mm is reinforced on its sides by steel plates 12 mm thick (see figure). The moduli of elasticity for the steel and wood are E±= 190 GPa and Ew= 11 GPa, respectively. Also, the corresponding allowable stresses are eS= 110 MPa and ew = 7.5 MPa, (a) Calculate the maximum permissible bending moment Mmaxwhen the beam is bent about the- axis. Repeat part (a) if the beam is now bent about its y axis. Find the required thickness of the steel plates on the beam bent about the y axis so that Mmaxis the same for both beam orientations.