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A concrete beam is strengthened using two steel plates as shown in the cross section of...
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...
Reinforced Concrete For the singly-reinforced beam shown below, determine the concrete and steel stresses at the...
Reinforced Concrete
For the singly-reinforced beam shown below, determine the concrete and steel stresses at the location of the maximum positive and negative moments. Use: modular ratio = 9. Has the beam already cracked? If the allowable concrete stresses are: concrete = 9MPa and steel = 138MPa, could this beam resist the maximum stresses experienced by the beam without failure? (Prove with solution.) 30 kN/m 16 J 530 mm 250mm Whe 250mm 1m Q
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...
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...
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...
A 15-ft solid concrete cantilever beam with a rectangular cross-section is shown below. It supports a...
A 15-ft solid concrete cantilever beam with a rectangular cross-section is shown below. It supports a load w = 2,150 lb/ft. The concrete has a tensile strength of 650 psi and a compressive strength of 6,000 psi. (a) Determine the maximum tensile and compressive stresses in the beam due to the applied load (b) Explain where failure would initiate in the solid concrete beam under the applied load. (c) Because the solid concrete beam is not adequate to carry the...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in the figure. The comcrete is sormal-weight with 6000 psi145Ib/f The section is subjected to a positive beading moment of 500 kip-ft about its horizontal axis causing compression and tension on the faces as shown. Assume the section remains elastic under this moment 15 Tension 20 Determine centroid of the section from the compression face. Answer: c-7.622 in (A) Determine moment of inertia of the...
An old existing timber bridge with a concrete deck is currently in service in the south west of W...
An old existing timber bridge with a concrete deck is currently in service in the south west of Western Australia. It has been proposed to increase the strength of the bridge by adding steel plates to the timber beams to enable larger trucks to use the road on which the bridge is located. The existing bridge has 460* 100mm timber beams at 1.8 metre centres. The concrete deck (which is fixed to the timber beams to enable composite action) is...
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...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
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...
Reinforced Concrete
For the singly-reinforced beam shown below, determine the concrete and steel stresses at the location of the maximum positive and negative moments. Use: modular ratio = 9. Has the beam already cracked? If the allowable concrete stresses are: concrete = 9MPa and steel = 138MPa, could this beam resist the maximum stresses experienced by the beam without failure? (Prove with solution.) 30 kN/m 16 J 530 mm 250mm Whe 250mm 1m Q
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...
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...
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...
A 15-ft solid concrete cantilever beam with a rectangular cross-section is shown below. It supports a load w = 2,150 lb/ft. The concrete has a tensile strength of 650 psi and a compressive strength of 6,000 psi. (a) Determine the maximum tensile and compressive stresses in the beam due to the applied load (b) Explain where failure would initiate in the solid concrete beam under the applied load. (c) Because the solid concrete beam is not adequate to carry the...
Class Activity Consider an unreinforced concrete beam cross section with the dimensions (in inches) shown in the figure. The comcrete is sormal-weight with 6000 psi145Ib/f The section is subjected to a positive beading moment of 500 kip-ft about its horizontal axis causing compression and tension on the faces as shown. Assume the section remains elastic under this moment 15 Tension 20 Determine centroid of the section from the compression face. Answer: c-7.622 in (A) Determine moment of inertia of the...
An old existing timber bridge with a concrete deck is currently in service in the south west of Western Australia. It has been proposed to increase the strength of the bridge by adding steel plates to the timber beams to enable larger trucks to use the road on which the bridge is located. The existing bridge has 460* 100mm timber beams at 1.8 metre centres. The concrete deck (which is fixed to the timber beams to enable composite action) is...
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...
9 The cross-section of a beam is shown below. The top rectanular piece of the cross-section is a steel section 6 inches wide by 8 inches deep. The dimensions of the member are shown below in the table. The cross-section is loaded in bending by a moment about the zz-axis. The allowable bending stress of the cross-section is 36 (ksi). Determine: a) the elastic centroid of the cross-section. b) the yield moment. c) the plastic centroid of the cross-section d)...
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