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 load that can be applied to the beam?
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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...
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...
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...
2. (10 points) A composite beam is formed by bonding a steel plate to a wooden...
2. (10 points) A composite beam is formed by bonding a steel plate to a wooden beam. Take the elastic moduli of steel and wood to be respectively 200 GPa and 13 GPa. The beam is subjected to a bending moment of 1500 N-m. Please determine (a) the stress at the point A at bottom of the beam and (b) the stress at point B at top of the beam. B Steel wood A 150mm
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 =...
1. A composite beam is made of wood and reinforced with a steel strap located on...
1. A composite beam is made of wood and reinforced with a steel strap located on its bottom side. It has the cross-sectional area shown in the given Figure. Given the beam is subjected to a bending moment of M 2 kN m and the material properties wood and steel are, E Esteel 200 GPa, respectively, determine the of wood 12 GPa and 150 mm normal stress at points B and C (20 points) 20 mm
Problem No. 3 (16pt) A wood beam is strengthened using two steel plates as shown in...
Problem No. 3 (16pt) A wood beam is strengthened using two steel plates as shown in the figure below. If moduli of elasticity are Est = 30,000 ksi and Ebr = 1,5000 ksi for steel and wood, respectively. Use transformed section method to determine: Wood a. The maximum moment about the z-axis if the allowable normal stress for the wood is Ow,all = 1.3 ksi. b. The maximum moment about the z-axis if the allowable normal stress for the steel...
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...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
Page 7 of 9 Q4. (30%) Composite Beam Three identical wooden beams and two identical steel plates are bolted together to form the composite shown in the sketch. Determine the largest allowable ben...
Page 7 of 9 Q4. (30%) Composite Beam Three identical wooden beams and two identical steel plates are bolted together to form the composite shown in the sketch. Determine the largest allowable bending moment, Malom, when the member is bent about the horizontal axis. Include sketch of transformed area, and list all assumptions and equations. Material/Properties Wood Steel Elastic Modulus 2,900,000 psi 29,000,000 psi Allowable Normal Stress 3,000 psi 18,000 psi 10 in 2.5 in 0.25 in a) Determine n...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight the beam concrete along with the embedded reinforcement is estimated to be 150 lbs/ft3. 72 6 6 24" 8 48 12 18 Figure 1. Typical Beam Section All Dimensions are in Inches The beam has uniform cross-section throughout its entire length and simply supported over a span (L) of 30 ft. Calculate the following due to self-weight only: (a) Self weight of the beam...
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...
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...
2. (10 points) A composite beam is formed by bonding a steel plate to a wooden beam. Take the elastic moduli of steel and wood to be respectively 200 GPa and 13 GPa. The beam is subjected to a bending moment of 1500 N-m. Please determine (a) the stress at the point A at bottom of the beam and (b) the stress at point B at top of the beam. B Steel wood A 150mm
1. A composite beam is made of wood and reinforced with a steel strap located on its bottom side. It has the cross-sectional area shown in the given Figure. Given the beam is subjected to a bending moment of M 2 kN m and the material properties wood and steel are, E Esteel 200 GPa, respectively, determine the of wood 12 GPa and 150 mm normal stress at points B and C (20 points) 20 mm
Problem No. 3 (16pt) A wood beam is strengthened using two steel plates as shown in the figure below. If moduli of elasticity are Est = 30,000 ksi and Ebr = 1,5000 ksi for steel and wood, respectively. Use transformed section method to determine: Wood a. The maximum moment about the z-axis if the allowable normal stress for the wood is Ow,all = 1.3 ksi. b. The maximum moment about the z-axis if the allowable normal stress for the steel...
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...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
Page 7 of 9 Q4. (30%) Composite Beam Three identical wooden beams and two identical steel plates are bolted together to form the composite shown in the sketch. Determine the largest allowable bending moment, Malom, when the member is bent about the horizontal axis. Include sketch of transformed area, and list all assumptions and equations. Material/Properties Wood Steel Elastic Modulus 2,900,000 psi 29,000,000 psi Allowable Normal Stress 3,000 psi 18,000 psi 10 in 2.5 in 0.25 in a) Determine n...
A typical cross-section of a reinforced concrete beam is shown in Figure 1. The unit weight the beam concrete along with the embedded reinforcement is estimated to be 150 lbs/ft3. 72 6 6 24" 8 48 12 18 Figure 1. Typical Beam Section All Dimensions are in Inches The beam has uniform cross-section throughout its entire length and simply supported over a span (L) of 30 ft. Calculate the following due to self-weight only: (a) Self weight of the beam...
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