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ME 311 - Mechanics of Materials Name 5. (15 points) The composite beam consists of a...
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...
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
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along th...
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along th...
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
DQuestion 17 5 pts The cross section of a composite beam made of aluminum and steel...
DQuestion 17 5 pts The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli of elasticity are Ea 75 GPa and Es 200 GPa. Under the action of a bending moment that produces a maximum stress of 50 MPa in the aluminum, what is the maximum stress in the steel (MPa)? 30 mm 40 mm Aluminunm Steel 80 mm 0
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 =...
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...
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber, which has an asymmetric moment, M, applied. Determine which material will fail first and the magnitude of M at failure. Esteel 205 GPa, Cydsteel= 240 MPa, Enimber= 15 GPa, Oyd.timber = 80 MPa. (16 marks) 10 mm Steel 90 mm 6-35 Z Timber Steel 10 mm 50 mm
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
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...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of elasticity for the steel is E = 200 GPa 150 mm 20 mm 150 mm 150 mm 10 mm M '10 mm 300 mm А Figure 1 (1) If the allowable tensile and compressive stress for the beam are allow tension = 140 MPa and o = 210 MPa. allow compression respectively, determine the maximum allowable internal moment M that can be applied Determine...
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...
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
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....
DQuestion 17 5 pts The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli of elasticity are Ea 75 GPa and Es 200 GPa. Under the action of a bending moment that produces a maximum stress of 50 MPa in the aluminum, what is the maximum stress in the steel (MPa)? 30 mm 40 mm Aluminunm Steel 80 mm 0
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...
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber, which has an asymmetric moment, M, applied. Determine which material will fail first and the magnitude of M at failure. Esteel 205 GPa, Cydsteel= 240 MPa, Enimber= 15 GPa, Oyd.timber = 80 MPa. (16 marks) 10 mm Steel 90 mm 6-35 Z Timber Steel 10 mm 50 mm
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
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...
The built-up beam is made of steel as shown in Figure 1. Knowing that modulus of elasticity for the steel is E = 200 GPa 150 mm 20 mm 150 mm 150 mm 10 mm M '10 mm 300 mm А Figure 1 (1) If the allowable tensile and compressive stress for the beam are allow tension = 140 MPa and o = 210 MPa. allow compression respectively, determine the maximum allowable internal moment M that can be applied Determine...
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