Calculate the net deflection under service loads
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- A rectangular beam has a width of 283mm and an effective depth of 461mm. It is reinforced with 4-25mm bars. The compressive strength of the concrete is 28MPa and the yield strength of the steel is 285MPa. The ultimate moment capacity is ___kN.m.Reinforce Concrete: A rectangular isolated beam has a clear span of 8.0m and carries a service live load of 60KN/m and 15KN/m including its own weight. The beam has a width of 350mm and an effective depth of 700mm. It is reinforced with 6 – 28mm rebars in two rows. Total depth of the beam is 800mm with F’c = 27.6MPa, Fy = 414MPa, Fyt = 280MPa. Use sand lightweight concrete having a unit weight of 2400Kg/m3. a. Using Detailed calculation method for shear strength for concrete, determine the shear force to be resisted by the shear reinforcement at the critical section from the face of support. b. Determine the spacing of 10mm shear reinforcement required by the beam due to its load. c. Determine the point where no shear reinforcement are needed measured from the center of the beam.Question: A rectangular cantilever beam has a width of 300mm and an effective depth of 480mm. It is reinforced with 7-25mm bars. The beam is carrying a uniformly distributed dead load of 15kN/m. The compressive strength of the concrete is 21MPa and the yield strength of the steel is 415MPa. The nominal moment capacity multiplied by its strength reduction factor is 334kN.m. Determine the allowable concentrated live load in kN that it could carry acting at 2.89m from the support if the length of the beam is 2.24m. Note that the dead load includes the weight of the beam.
- A rectangular cantilever beam has a width of 300mm and an effective depth of 480mm. It is reinforced with 7-25mm bars. The beam is carrying a uniformly distributed dead load of 15kN/m. The compressive strength of the concrete is 21MPa and the yield strength of the steel is 415MPa. The magnitude of the Ultimate moment capacity is Blank 1kN.m.Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V: 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Truss Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm W = 79 N/m 12 12 1.2 I Allowable bending stress Fbx= Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D+ L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis. QUESTIONS: 1.What is the effective depth of the given beam. (1 decimal) 2.What value of ?1 should you use in the computation. (2decimals) 3.What is the value of the steel reinforcement ratio if a balanced condition is assumed. (4decimals) 4.What is the actual steel reinforcement ratio of the given beam. (4 decimals) 5.What type of failure will occur? 6.What is the value of the compression block? You will get two values, use the positive. (4 decimals) 7.Given your answer in Numbers 5 and 6, what value of fs you should use? (4 decimals) 8.What is the nominal strength of the given section?…
- A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis. Considering LRFD, what is the factored load to be carriedby the beam? (2 decimals) Considering LRFD, what is the reduced capacity of thesection? (4 decimals) Can the section sustainthe given loads?Light-grade steel channel was used as a purlin of a truss. The top chord of the truss is inclined I V : 4 H and distance between trusses is equal to 6 m. The purlin has a weight of 79 N/m and spaced at 1.2 m. on centers. The dead load including the roof materials is 720 Pa, live load of 1000 Pa and wind load of 1.2 1.2 1440 Pa. Coefficient of Purlins pressure at leeward and windward are 0.6 and 0.2 respectively. Assume all loads passes through the centroid of the section. Properties of C 200 x 76 mm Sx = 6.19 x 104 mm Sy = 1.38 x 104 mm3 W = 79 N/m 1.2 Truss 1.2 12 12 1.2 Allowable bending stress Fbr = Fby = 207 MPa Truss %3D 6m O Calculate the bending stress, fox, for dead load and live load combination (D + L). Calculate the bending stress, foy, for dead load and live load combination (D + L). O Calculate the maximum ratio of actual to the allowable bending stress for load combination 0.75 (D + L + W) at the windward side. fbx = 151.14 MPa fby = 169.6 MPa Interaction = 1.25About Uncracked and Craked Section 1. A doubly reinforced beam has dimension of 300mmw x 600mmh. It is reinforced with 2-25mm diam compression bars and 4 25mm diam tension bars. Concrete cover from centroid of steel bar is 60mm. On its section has a bending moment of 300KN-m. Using working stress design method what are the stresses acting on the concrete, compressive and tensile steel bars? used n: 8
- A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis. What is the actual steel reinforcement ratio of the givenbeam. (4 decimals) What type of failure will occur? What is the value of the compression block? You will gettwo values, use the positive. (4 decimals) Given your answer in Numbers 5 and 6, what value of fs youshould use? (4 decimals) What is the nominal strength of the given section? (4decimals) What is the maximum moment applied to the beam? (2decimals)A singly reinforced beam of dimension 200 x 350 is reinforced with 3-25mm at the bottom. If the concrete has a compressive strength of 17MPa and the steel has a yield strength of 415 MPa, determine if the beam can carry a uniform distributed load of 18 kN/m dead load. The beam has a length of 5m with 40mm concrete clear cover, 10mm enclosed stirrups, and Es = 200 GPa. Use LRFD in the analysis.A pre-tensioned beam 160 mm wide and 320 mm deep is prestressed by four plain wires of 7 diameter at an eccentricity of 100 mm. If the cube strength of concrete at transfer is 40 N/mm2. Estimate the transmission length at the ends of the pretensioned member using IS: 1343 code provisions.