Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 10, Problem 10.16QP
To determine
Draw the stress–strain diagram of a typical wood, show the modulus of elasticity, and state three different factors that affect the stress–strain relationship.
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A wood beam reinforced by an aluminum channel section is shown in the figure.
150 mm
230 mm
38 mm
6.5 mm
-163 mm-
The beam has a cross section of dimensions 150 mm x 230 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 MPa and 50 MPa, respectively, and if their moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam? Enter the magnitude in kN · m. (Assume that the component parts
of the beam are securely bonded by adhesives or connected by fasteners. Also, be sure to use the transformed-section method in the solution.)
(No Response)
14.06 kN· m
The grains of wood in the board make an angle of 20°
with the horizontal as shown. The board is subjected to
an axial load of P = 250 N . (Figure 1)
Part A
Determine the normal stress that acts perpendicular to the grains.
Express your answer to three significant figures and include the appropriate
units.
µA
Value
Units
Figure
1 of 1
Submit
Request Answer
Part B
300 mm
Determine the shear stress that acts parallel to the grains.
60 mm
Express your answer to three significant figures and include the appropriate
units.
20°
25 mm
HẢ
?
Value
Units
P Pearson
A wood beam reinforced by an aluminum channel section is shown in the figure.
150 mm
232 mm
38 mm
6.5 mm
163 mm-
The beam has a cross section of dimensions 150 mm x 232 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 MPa and 46 MPa, respectively, and if their
moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam? Enter the magnitude in kN • m. (Assume that the component parts of the beam are securely bonded by
adhesives or connected by fasteners. Also, be sure to use the transformed-section method in the solution.)
kN m
Chapter 10 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 10 - What are the two main classes of wood? What is the...Ch. 10 - Prob. 10.2QPCh. 10 - Prob. 10.3QPCh. 10 - Discuss the anisotropic nature of wood. How does...Ch. 10 - Prob. 10.5QPCh. 10 - Prob. 10.6QPCh. 10 - Prob. 10.7QPCh. 10 - Prob. 10.8QPCh. 10 - Prob. 10.9QPCh. 10 - Prob. 10.10QP
Ch. 10 - Prob. 10.11QPCh. 10 - Prob. 10.12QPCh. 10 - Prob. 10.13QPCh. 10 - Prob. 10.14QPCh. 10 - Prob. 10.15QPCh. 10 - Prob. 10.16QPCh. 10 - Prob. 10.17QPCh. 10 - Prob. 10.18QPCh. 10 - Prob. 10.19QPCh. 10 - Prob. 10.20QPCh. 10 - Prob. 10.21QPCh. 10 - Prob. 10.22QPCh. 10 - Prob. 10.23QPCh. 10 - A wood specimen was prepared with actual...Ch. 10 - A pine wood specimen was prepared with actual...Ch. 10 - Prob. 10.26QPCh. 10 - Prob. 10.27QPCh. 10 - Prob. 10.28QPCh. 10 - Prob. 10.29QPCh. 10 - Prob. 10.30QPCh. 10 - Prob. 10.31QPCh. 10 - Prob. 10.32QPCh. 10 - Prob. 10.33QP
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Similar questions
- please answer these two question 1.Explain the reason that flexural modulus of elasticity and compression test modulus of elasticity must be considered separately when both the flexural test and the parallel to grain compressive test caused normal stresses parallel to the grain of the wood. 2. Discuss the difference between isotropic and orthotropic materials for wood.arrow_forwardCalculate the modulus of elasticity of the wood specimen with the stress-strain relationshipshown in figure below.arrow_forwardThe wood has an allowable normal stress of Oallow = 15 MPa and an allowable shear stress of Tallow = 1.33 MPa. (Figure 1) Part A Determine the minimum dimension h of the beam's cross section to safely support the load. Express your answer to three significant figures and include the appropriate units. µA ? h = Value Units Submit Request Answer Figure Provide Feedback 25 kN/m B 2 m 100 mmarrow_forward
- Compute the modulus of elasticity of the wood species whose stress–strainrelationship is shown in Figure 10.12, using both the SI and English units.Compare the results with the typical values shown in Table 1.1 in Chapter 1and comment about the results.arrow_forwardDetermine the y-bar centroid of the composite figure shown. Where: y = 20mm and x = 10 mmarrow_forwardA wood specimen having a square cross section of 2-inch x 2-inch (actual dimensions) was tested in bending by applying a load at the middle of the span, where the span between the simple supports was 28 inches. The deflection under the load was measured (see below). Plot the load versus deflection relationship. Identify the proportional limit on the diagram. Calculate the modulus of rupture. Does the modulus of rupture truly represent the extreme fiber stresses in the specimen? Comment on the assumptions used to compute the modulus of rupture and the actual response of the wood specimenarrow_forward
- A pine wood specimen was prepared with actual dimensions of 50 mmx50 mm x 250 mm and grain parallel to its length. The deformation was measured over a gauge length of 200 mm. The specimen was subjected to compression parallel to the grain failure. The load- deformation results are shown in table below: Load (kN) Deformation (mm) 8.9 0.457 17.8 0.597 26.7 0.724 34.5 0.838 43 0.965 52.9 1.118 62.01 1.27 71.03 1.422 80.1 1.588 89 1.765 99.6 1.956 108 2.159 111.3 2.311 112 2.456 a. Using a computer spreadsheet program, plot the stress-strain relationship. b. Calculate the modulus of elasticity. С. What is the failure stress?arrow_forwardThe rectangular wood beam is loaded as shown in the figure. 12 kN. 8 KN/m 150 m 250 mm 10m 2 m What is the bending stress in the beam 2 meters from point A? 7.68 MPa O 5.76 MPa O 10.24 MPa 4.48 MPa What is the bending stress 50 mm from the top of the beam 0.5 meters from point A? * 3.456 MPa 5.760 MPa 10.245 MPa 6.144 MPa What is the shear stress in the beam at point C? O0.48 MPa 0.80 MPa 0.64 MPa O0.32 MPaarrow_forwardA 100 mm * 100 mm wood lumber was subjected to bending with a span of 1.5 m until failure by applying a load in the middle of its span. The load and the deflection in the middle of the span were recorded as shown in Table P10.21. a. Using a computer spreadsheet program, plot the load–deflection relationship. b. Plot the proportional limit on the graph. c. Calculate the modulus of rupture (flexure strength).arrow_forward
- Describe the failure mode of a composite beam loaded to failure in flexure. Hint; Think about what the design equations for determining the nominal moment (Mn) capacity tell one.arrow_forwardA composite beam is under external loads as shown below. Draw the internal shear force and bending moment diagrams under the graph for the beam. Label the shear force and bending moment with values for each controlling point on the diagrams. Find the maximum tensile and compressive stresses. XII 40 kN/m -1.8 m B 3.6 m 75 kN C 0.9 m 12 mm 48 mm 12 mm 96 mm Cross section (not drawn to scale)arrow_forwardSteel modulus of elactisity is 29x10^6 psi what is concrete modulus of Elasticity in psi ?arrow_forward
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