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6. (15%) a) Two beam specimens with 15 cm square cross-section and 45 cm span length,...
ACI code Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x...
ACI code
Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x 500 mm and is not in contact with the ground or exposed to the weather. Ties are #10 bars and longitudinal reinforcement is # 19. Concrete compressive strength is 42 MPa and steel yield strength is 420 MPa. Calculate the axial load carrying capacity, OP and flexural capacity OM, for point in the interaction diagram with bending about the 3-3 axis where the tensile...
1. A cross section of a RC beam is described in a below figure. Three No....
1. A cross section of a RC beam is described in a below figure. Three No. 29 reinforcing bars are located at the bottom of the section. The area of a #29 reinforcing bar is 645 mm2 while the yield strength of the steel bar is 420 MPa. The tensile strength of concrete is 2.7 MPa, and the compressive strength of concrete is 21 MPa. In addition, n= E/Eis selected as 8. (1) Compute the maximum compressive and tensile stresses...
The point loads are placed at the fixed positions shown in the figure and they are...
The point loads are placed at the fixed positions shown in the figure and they are live loads. E C (centre) f = 32 Mpa fer= 3 MPa fsv = 500 MPa E = 200 GPa E = 28600 MPa a Cross section The following values are used for the question. . l = 3 m load before cracking • 12 = 2.5 m . P = 2 KN . a = 50 mm . G-5 kN/m • b =...
A simply supported wood beam of rectangular cross section and span length 2 m carries a...
A simply supported wood beam of rectangular cross section and span length 2 m carries a uniformly distributed load of intensity 9 = 1 kN/m as shown. Calculate the maximum bending stress and the maximum shear stress in the beam.
5. Determine the mid-span short-term deflection of a simply supported beam with the section shown in...
5. Determine the mid-span short-term deflection of a simply supported beam with the section shown in Figure Q5. Design data: Concrete strength: fcu 30 MPa. Area of tensile steel reinforcement: As 1500 mm Area of compressive steel reinforcement: A,-1500 mm2 Instantaneous static modulus of elasticity of concrete = 25GPa. Span -8.0 m Loading: Dead load 5.0 kN/m (uniformly distributed load); Live load 5.0 kN/m (uniformly distributed load) (Hint: the height of neutral axis of the mid-span section under the service...
A rectangular cross section at a location along a beam in bending is
(a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A c...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A cantilever beam has a cross-section shaped as a sector of a circle. It is supported at A and loaded with a concentrated load of F 870 N and a concentrated moment of M = 361 N*m. The dimensions of the beam are given in the table above. Find the normal stresses at points D, E, and G in the cross-section, at...
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...
The beam shown in Figure 1 has a clear span length of L = 7.6 m...
The beam shown in Figure 1 has a clear span length of L = 7.6 m and x : 1.5 m. The beam cross section is shown in Figure 2 and supports the following loads: WL = 30 kN/m. Wb = 50 kN/m, Q.-50 kN, QD = 80 kN, and supports its own weight. Assume f,'-25 MPa,.-420 MPa, b-350 mm. d-702 mm, h 750 mm, colinn width-450 1. Calculate the beam own weight 2. Calculate the ultimate loads applied on...
The flexural strength of a simply supported prismatic beam with depth ‘d’, width ‘b’ and span...
The flexural strength of a simply supported prismatic beam with depth ‘d’, width ‘b’ and span ‘L’ is determined using a four-point bending test. Two equal loads of value ‘P’ are placed at a distance of L/3 and 2L/3 from the support. a. Calculate the reaction forces at the supports. b. Draw the shear and moment diagrams for the beam. c. What is the location of the maximum moment on the beam? What is the value of the maximum moment?...
ACI code
Interaction Diagrams and Strain Compatibility for Columns The column cross-section is 300 mm x 500 mm and is not in contact with the ground or exposed to the weather. Ties are #10 bars and longitudinal reinforcement is # 19. Concrete compressive strength is 42 MPa and steel yield strength is 420 MPa. Calculate the axial load carrying capacity, OP and flexural capacity OM, for point in the interaction diagram with bending about the 3-3 axis where the tensile...
1. A cross section of a RC beam is described in a below figure. Three No. 29 reinforcing bars are located at the bottom of the section. The area of a #29 reinforcing bar is 645 mm2 while the yield strength of the steel bar is 420 MPa. The tensile strength of concrete is 2.7 MPa, and the compressive strength of concrete is 21 MPa. In addition, n= E/Eis selected as 8. (1) Compute the maximum compressive and tensile stresses...
The point loads are placed at the fixed positions shown in the figure and they are live loads. E C (centre) f = 32 Mpa fer= 3 MPa fsv = 500 MPa E = 200 GPa E = 28600 MPa a Cross section The following values are used for the question. . l = 3 m load before cracking • 12 = 2.5 m . P = 2 KN . a = 50 mm . G-5 kN/m • b =...
5. Determine the mid-span short-term deflection of a simply supported beam with the section shown in Figure Q5. Design data: Concrete strength: fcu 30 MPa. Area of tensile steel reinforcement: As 1500 mm Area of compressive steel reinforcement: A,-1500 mm2 Instantaneous static modulus of elasticity of concrete = 25GPa. Span -8.0 m Loading: Dead load 5.0 kN/m (uniformly distributed load); Live load 5.0 kN/m (uniformly distributed load) (Hint: the height of neutral axis of the mid-span section under the service...
2013 Michael Swanbom 08 O Cross Section Dimensions 106 cm 25 cm 32 mm 33 mm Problem Statement A cantilever beam has a cross-section shaped as a sector of a circle. It is supported at A and loaded with a concentrated load of F 870 N and a concentrated moment of M = 361 N*m. The dimensions of the beam are given in the table above. Find the normal stresses at points D, E, and G in the cross-section, at...
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...
The beam shown in Figure 1 has a clear span length of L = 7.6 m and x : 1.5 m. The beam cross section is shown in Figure 2 and supports the following loads: WL = 30 kN/m. Wb = 50 kN/m, Q.-50 kN, QD = 80 kN, and supports its own weight. Assume f,'-25 MPa,.-420 MPa, b-350 mm. d-702 mm, h 750 mm, colinn width-450 1. Calculate the beam own weight 2. Calculate the ultimate loads applied on...
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