Find the ultimate moment of resistance for the rectangular section reinforced as shown below.
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- 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'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 d':= 50-mm 2 A, 2410-mm A's:= 628-mm 2 b A', Hi AsA 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)
- Referenced concrete When designing the same bim Why is the load in the case of moment greater than the load in the case of shear?2. A column HP 14 x 102 of A572 Gr. 55 steel has a length of 15 ft is fixed at both ends. Compute the design compressive strength for LRFD and the allowable compressive strength for ASD. (Steel section properties are provided in the next page) ASTM Designation A572 Gr. 42 Gr. 50 Gr. 55 Gr. 60⁰ Gr. 65⁰ Yield Stress (ksi) 42 50 55 60 65 Fu Tensile Stressa (ksi) 60 65 70 75 80Fill in the blanks: Determine the required tension steel area of the T beam with given properties below. Width of flange bf= 500 mm Width of web bw = 400mm Thickness of flange tf 140 mm Effective depth d = 380 mm Effective concrete covering d' = 75 mm Compressive strength of concrete fc' = 30 MPa Yield stress of steel bar fy = 300 MPa Mu = 448 kN-m As = mm2 CS Scanned with CamScanner
- 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 CamScannerProblem Solving: A rectangular beam has dimensions of 250 mm by 625 mm with an effective depth (distance from extreme fiber in tension to the centroid of the reinforcing bars) of 575 mm and is reinforced with three 25 mmp. The concrete cylinder strength f.' = 27.6 MPa and the tensile strength in bending (modulus of rupture) is 3.28 MPa. The yield point of the steel is 414.7 MPa. The beam carries a bending moment of 61 kN.m. E_ = 200000 MPa. E_ = 4700,f. Using the transformed area method, determine the stress in the extreme fiber in compression.The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28 bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec =23,500MPa and Es = 200,000MPa. Dead load is 18KN/m and live load is 12KN/m. f' = 25MPa 800 IDE 730 N12 ligs (fsv.f-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Calculate the combination load for the reinforcement concrete beam shown in Figure 3. Unit: KN/m with two decimal. 1.2G+1.5Q=w
- Figure 2(a) shows a 6 m long cantilever concrete beam with a uniformly distributed load of w= 25 kN/m. The beam has a T-section and is bolted to a steel plate (200 x 10 mm) to form a composite section as shown in Figure 2 (b). The modulus of elasticity is 25 GPa for the concrete beam and 200 GPa for the steel plate. The dimensions of the concrete sections are: a=600, b= 40 and c-700 mm. Steel plate * 200 mm (200x10 mm) 10 mm W kN/m B concrete Lm (a) Simply supported T-Beam amm (b) Cross-section Figure 2 bmm kCivil Engineering The section of a beam near a column is given below. Area of the top reinforcement is 800 mm2 and bottom reinforcement is 300 mm2. Is the section under or over-reinforced if the balanced reinforcement ratio is po =0,0209? bw = 200mmd= 300mm bw a) O Under-reinforced since 800 mm2 Asb e) Over-reinforced since 300 mm2 > Asb What is the distance of the neutral axis c from the top of the beam, if the top portion of the beam is in compression. Concrete is C30, longitudinal steel bars are o16 and made of B420C steel. Use design strengths in computation. b = 800 mm, d = 500mm, h For C30 concrete k = 0.82. your = 100 mm, b, = 300 mm. Hint: a) 53 mm b) O 46 mm c) O 20 mm 32 mm 26 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 mm