A rectangular concrete cantilever beam is made of M25 grade concrete and Fe415 grade steel is used. What is the modular ratio of the section assuming the modulus of elasticity of steel as 2 x 105 MPa?
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- What is the characteristic strength of a mild steel reinforcement bar? Select one: O a. 415 N 415 N/mm O C. 250 N d. 250 N/mmSituation: A beam has a width of 300 mm and total depth of 600 mm strength f'c-36 MPa. Steel yield strength fy=415 MPa The section is to be reinforced for tension only and the effective concrete cover is 65 mm. Which of the following most nearly gives the value of our balanced steel ratio? a. 0.00370 b. 0.03456 C. 0.02860 d. 0.03522 Which of the following most nearly gives the value of our balanced distance of the cuter most fiber of compression fiber to our neutral axis? a. 313.256 mm b. 354.68 mm C. 333.333 mm d. 322.435 mm Which of the following most nearly gives the value of our balanced depth of compression block? a. 248.412 mm b. 266.2676 mm C. 301.478 mm d. 281.261 mmA simply supported beam is reinforced with 4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'=28 MPa, fy=415 MPa. Assume bars laid out in single layer. Calculate the following if the limitin tensile steel strains is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = _____________mm Design strength of the beam section to the nearest whole number =____________ kN-m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____________ kN/m (to the nearest whole number)
- An HSS9 x 7 x3⁄8 filled with concrete is used as a composite column, as shown in Figure. The steel has a yield stress of Fy = 46 ksi, and the concrete has a compressive strength of f ,c =4 ksi. Compute the nominal strength of the column.A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = __ mmA simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = mm Design strength of the beam section to the nearest whole number = kN·m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)
- A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)O Find the ultimate moment of resistance for the rectangular section reinforced as shown below. material strengths: Concrete Reinforcement Width of section Reinforcement fcu:= 30-MPa fy:= 450-MPa b:= 280-mm d:= 510-mm A, 2410-mm d':= 50-mm A's:= 628-mm² b A', d'A simply supported beam is reinforced with 5-p25 mm at the bottom and 2-020 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = mm Design strength of the beam section to the nearest whole number = kN -m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = kN/m (to the nearest whole number)
- Problem 1. The composite beam shown below carries a cantilevered load of 10 kN. The beam consists of one 30 x 124 mm plate and four 12 x 50 mm plates. They are pinned together at 120 mm intervals with round pins. The pin material has a shear strength of 159 MPa. Compute the minimum acceptable diameter for the pins. O O O O O O O -0 O 0- O 1000 mm Do O -120 mm (typ) O O O P = 10 KN 30 x 124 mm 12 x 50 mm (typ)In order to reinforce a column in an existing structure, two channels are continuously welded to the column as shown below. Fy = 50 ksi for both the column and the channels. The effective length with respect to each axis is 16 feet. a) calculate the Moment of Inertia about each axis of the built-up shape. a) what is the available axial compressive strength and what is the percentage increase in strength? Use both LRFD and ASD.06. The composite bar, firmly attached to unyielding supports, is initially stress-free. What maximum axial load P can be applied if the allowable stresses are 10 ksi for aluminum and 18 ksi for steel? Steel Aluminum A = 1.25 in.? E = 10 x 106 psi A = 2.0 in.2 E = 29 x 106 psi SUMMARY OF ANSWERS P kips -15 in: -12 in.- CS Scanned with CamScanner