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DQuestion 17 5 pts The cross section of a composite beam made of aluminum and 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...
A beam of the cross section shown is made of a steel that is assumed to...
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The bending is about the z axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength of 240 MPa, determine the residual stress at y = 45 mm. 90 mm 60 mm The residual stress is D M Pa.
(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,...
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 =...
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...
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as...
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as shown. Find the normal stress at point "b" at the point of maximum moment for the loading shown. All the dimensions are in inches. 50 lb/in 240 Steel Es=29000 ksi Aluminum EA-10000 ksi 4 1
Required information A composite beam is made by attaching the timber and steel portions shown with...
Required information A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. The vertical shear is 4.2 KN - 150 mm 12 mm 12 mm Determine the shearing stress at the center of the cross section (Round the final answers to two decimal places.) (Hint: Both Q and are computed by...
A bar having the cross section shown has been formed by securely bonding brass and aluminum...
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x= 46 mm. Modulus of elasticity Allowable stress Aluminum 70 GPa 100 MPa Brass 105 GPa 160 MPa 10 mm 10 mm Aluminum 10 mm Brass 10 mm |_40 mm / 1 The largest permissible bending moment when the...
Segment B of the composite beam is made from aluminum (Es=70 GPa) and segment A is...
Segment B of the composite beam is made from aluminum (Es=70 GPa) and segment A is steel (Ext=210 GPa). The allowable bending stress (tensile/compressive) for aluminum and steel are allow)al=100Mpa and (allow)se=150MPa. Determine the maximum allowable intensity (w) of the uniformly distributed load. (Hint: NA is located at 150 mm from top edge. Show that I=850*10 mm. for aluminum equivalent). 100 mm W steel 100 mm 4.0 m 300 mm aluminum B
Problem 5.1. Axial stress in a reinforced box beamm Figure 5. 12 depicts an aluminum rectangular...
Problem 5.1. Axial stress in a reinforced box beamm Figure 5. 12 depicts an aluminum rectangular box beam of height ћ-0.30 m, width b-0.15 m, flange thickness ta-12 mm, and web thickness tw-5 mm. The beam is reinforced by two layers of unidirectional composite material of thickness te - 4 mm. The section is subjected to an axial load i - 600 kN. The Young's moduli for the aluminum and unidirec- tional composite are Ea - 73 GPa and Ec140...
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 beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The bending is about the z axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength of 240 MPa, determine the residual stress at y = 45 mm. 90 mm 60 mm The residual stress is D M Pa.
(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,...
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...
A simply supported beam has a cross-section that is formed using of Steel and Aluminum as shown. Find the normal stress at point "b" at the point of maximum moment for the loading shown. All the dimensions are in inches. 50 lb/in 240 Steel Es=29000 ksi Aluminum EA-10000 ksi 4 1
Required information A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. The vertical shear is 4.2 KN - 150 mm 12 mm 12 mm Determine the shearing stress at the center of the cross section (Round the final answers to two decimal places.) (Hint: Both Q and are computed by...
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a vertical axis. Take x= 46 mm. Modulus of elasticity Allowable stress Aluminum 70 GPa 100 MPa Brass 105 GPa 160 MPa 10 mm 10 mm Aluminum 10 mm Brass 10 mm |_40 mm / 1 The largest permissible bending moment when the...
Segment B of the composite beam is made from aluminum (Es=70 GPa) and segment A is steel (Ext=210 GPa). The allowable bending stress (tensile/compressive) for aluminum and steel are allow)al=100Mpa and (allow)se=150MPa. Determine the maximum allowable intensity (w) of the uniformly distributed load. (Hint: NA is located at 150 mm from top edge. Show that I=850*10 mm. for aluminum equivalent). 100 mm W steel 100 mm 4.0 m 300 mm aluminum B
Problem 5.1. Axial stress in a reinforced box beamm Figure 5. 12 depicts an aluminum rectangular box beam of height ћ-0.30 m, width b-0.15 m, flange thickness ta-12 mm, and web thickness tw-5 mm. The beam is reinforced by two layers of unidirectional composite material of thickness te - 4 mm. The section is subjected to an axial load i - 600 kN. The Young's moduli for the aluminum and unidirec- tional composite are Ea - 73 GPa and Ec140...
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