A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q= 30 kN/m (see figure)
A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q= 30 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide.
(a) Find the maximum bending stresses σw and σs, in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew = 10 GPa for the wood and Es = 210 GPa for the steel.
(b) Find the required thickness of the steel plate so that the steel plate and wood reach their allowable as stress values, σas= 100 MPa and σaw = 8.5 MPa, simultaneously under the maximum moment.
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A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q= 30 kN/m (see figure)
Chapter 8, Supplemental Question 067 (Go Tutorial) The simply supported beam shown carries a uniformly distributed...
Chapter 8, Supplemental Question 067 (Go Tutorial) The simply supported beam shown carries a uniformly distributed load of w 28 kN/m on overhang BC. The beam is constructed of a Southern pine [E 12 GPa] timber that is reinforced on its upper surface by a steel [E-200 GPa] plate as shown. The beam spans are LAB-4.5 m and Lec-1.25 m. The wood beam has dimensions of bw-230 mm and dw-310 mm. The steel plate dimensions are bs - 245 mm...
100 lb/tht A cantilever beam 10 ft long carries a uniformly distributed load of w 100...
100 lb/tht A cantilever beam 10 ft long carries a uniformly distributed load of w 100 lb/ft. The beam is constructed from a 3-in.-wide by 8-in.-deep wood timber (1) that is reinforced on its upper surface by a 3-in.-wide by 0.25-in.-thick alumi- 3im num plate (2). The elastic modulus of the wood is E 1,700 ksi, and the elastic modulus of the aluminum plate is E 10,200 ksi. Determine 0h Cross-sectional dimensions. the maximum bending stresses produced in timber (1)...
Question 1 (Total 100/3 Marks) Figure 1 (all units are mm) shows a simply supported beam of span ...
Question 1 (Total 100/3 Marks) Figure 1 (all units are mm) shows a simply supported beam of span 2500 mm with a 5 kN/m load. The cross-section of the beam is a composite section made from two steel plates attached to the top and bottom of a timber section. The top steel plate is 5 mm wide and 20 mm deep. The bottom steel plate is also 5 mm wide but 10 mm deep. The timber section is 50 mm...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 G...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
Figure 2a shows a composite beam made by placing three steel plates inside a wooden section....
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
A wood beam (1) is reinforced on its lower surface by a steel plate (2) as...
A wood beam (1) is reinforced on its lower surface by a steel
plate (2) as shown in the figure. Dimensions of the cross section
are b 1 = 220 mm , d = 385 mm , b 2 = 190 mm , and t = 25 mm . The
elastic moduli of the wood and steel are E 1 = 12.5 GPa and E 2 =
200 GPa , respectively. The allowable bending stresses of the wood
and steel...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment of M - 160 kNm. Steel reinforcement consists of 4 bars of 28-mm diameter. The modulus of elasticity for the concrete is E = 25 GPa while that of the steel is E, = 200 GPa. (a) Find the maximum stresses in steel and concrete. (b) If allowable stresses for concrete and steel are = 9.2 MPa and 0 -135 MPa, respectively, what is...
A5.2 m long simply supported wood beam carries a uniformly distributed load of 12.9 kN/m, as...
A5.2 m long simply supported wood beam carries a uniformly distributed load of 12.9 kN/m, as shown in Figure A. The cross-sectional dimensions of the beam as shown in Figure Bare b = 195 mm, d = 485 mm. yy = 81 mm, and yx = 167 mm. Section 3-a is located at x = 1.4 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-3,...
A wood beam (1) is reinforced on its lower surface by a steel plate (2) as shown in the figure. D...
A wood beam (1) is reinforced on its lower surface by a steel
plate (2) as shown in the figure. Dimensions of the cross section
are b1=235mm, d=365mm, b2=185mm and t=15mm. The elastic moduli of
the wood and steel are E1=12.5Gpa and E2=200Gpa , respectively. The
allowable bending stresses of the wood and steel are 6Mpa and
140Mpa , respectively. This cross section is used for a simply
supported beam that spans 10m . What is the largest uniformly
distributed...
ME 311 - Mechanics of Materials Name 5. (15 points) The composite beam consists of a...
ME 311 - Mechanics of Materials Name 5. (15 points) The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is 20 MPa and for the steel is 130 MPa, determine the maximum moment (about the z- axis) that can be applied to the a) 125 mm 11 GPa and beam. Assume Ewood Esteel -200 GPa b) Draw the stress distribution along the y-axis. 20 mm 75 mm 20...
Chapter 8, Supplemental Question 067 (Go Tutorial) The simply supported beam shown carries a uniformly distributed load of w 28 kN/m on overhang BC. The beam is constructed of a Southern pine [E 12 GPa] timber that is reinforced on its upper surface by a steel [E-200 GPa] plate as shown. The beam spans are LAB-4.5 m and Lec-1.25 m. The wood beam has dimensions of bw-230 mm and dw-310 mm. The steel plate dimensions are bs - 245 mm...
100 lb/tht A cantilever beam 10 ft long carries a uniformly distributed load of w 100 lb/ft. The beam is constructed from a 3-in.-wide by 8-in.-deep wood timber (1) that is reinforced on its upper surface by a 3-in.-wide by 0.25-in.-thick alumi- 3im num plate (2). The elastic modulus of the wood is E 1,700 ksi, and the elastic modulus of the aluminum plate is E 10,200 ksi. Determine 0h Cross-sectional dimensions. the maximum bending stresses produced in timber (1)...
Question 1 (Total 100/3 Marks) Figure 1 (all units are mm) shows a simply supported beam of span 2500 mm with a 5 kN/m load. The cross-section of the beam is a composite section made from two steel plates attached to the top and bottom of a timber section. The top steel plate is 5 mm wide and 20 mm deep. The bottom steel plate is also 5 mm wide but 10 mm deep. The timber section is 50 mm...
03(a) A reinforced concrete beam is acted on by a positive bending moment. reinforcement consists of 4 bars of 28 mm diameter. The modulus of elasticity is E 25 GPa for the concrete and E-200 GPa for the steel. The allowable stresses for the concrete and steel are ơ.-9.2 MPa and ơ.-135 MPa, respectively. Determine the maximum permissible positive bending moment. (10 marks) 625 mm 4 bars 28 mm -300 mm Figure Q3(a) 03(b) A simply supported beam that is...
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
A wood beam (1) is reinforced on its lower surface by a steel
plate (2) as shown in the figure. Dimensions of the cross section
are b 1 = 220 mm , d = 385 mm , b 2 = 190 mm , and t = 25 mm . The
elastic moduli of the wood and steel are E 1 = 12.5 GPa and E 2 =
200 GPa , respectively. The allowable bending stresses of the wood
and steel...
Problem 2 A reinforced concrete beam (see fig.) is acted on by a positive bending moment of M - 160 kNm. Steel reinforcement consists of 4 bars of 28-mm diameter. The modulus of elasticity for the concrete is E = 25 GPa while that of the steel is E, = 200 GPa. (a) Find the maximum stresses in steel and concrete. (b) If allowable stresses for concrete and steel are = 9.2 MPa and 0 -135 MPa, respectively, what is...
A5.2 m long simply supported wood beam carries a uniformly distributed load of 12.9 kN/m, as shown in Figure A. The cross-sectional dimensions of the beam as shown in Figure Bare b = 195 mm, d = 485 mm. yy = 81 mm, and yx = 167 mm. Section 3-a is located at x = 1.4 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-3,...
A wood beam (1) is reinforced on its lower surface by a steel
plate (2) as shown in the figure. Dimensions of the cross section
are b1=235mm, d=365mm, b2=185mm and t=15mm. The elastic moduli of
the wood and steel are E1=12.5Gpa and E2=200Gpa , respectively. The
allowable bending stresses of the wood and steel are 6Mpa and
140Mpa , respectively. This cross section is used for a simply
supported beam that spans 10m . What is the largest uniformly
distributed...
ME 311 - Mechanics of Materials Name 5. (15 points) The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is 20 MPa and for the steel is 130 MPa, determine the maximum moment (about the z- axis) that can be applied to the a) 125 mm 11 GPa and beam. Assume Ewood Esteel -200 GPa b) Draw the stress distribution along the y-axis. 20 mm 75 mm 20...
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