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(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
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.
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...
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
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
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...
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...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three 10 mm thick steel plates to the top and the two sides of the beam as shown below (there is no steel plate on the bottom). The beam acts compositely. It should be assumed that Eimber 10000 MPa and Esteel 200000 MPa and the materials exhibit linear elastic behaviour. The beam has a total length of 5 m. Steel has a density of 7800...
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...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
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.
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...
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
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
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...
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...
4) 20 Marks A builder strengthens a 150 mmx 250 mm timber beam by connecting three 10 mm thick steel plates to the top and the two sides of the beam as shown below (there is no steel plate on the bottom). The beam acts compositely. It should be assumed that Eimber 10000 MPa and Esteel 200000 MPa and the materials exhibit linear elastic behaviour. The beam has a total length of 5 m. Steel has a density of 7800...
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...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
The cantilevered beam shown below is a sandwich beam with a plastic core and aluminum alloy faces. The member is subjected to a concentrated load at the free end. The plastic core (240mm x 200 m m in cross section) has an elastic modulus of 100 GPa and allowable normal stress of 220 MPa, while the 6 mm thick aluminum face plates have an elastic modulus of 75 GPa and allowable normal stress of 260 MPa. Question I: 118 marks]...
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