3.(a) A simply supported T-beam of span 9 m in reinforced concrete has the following dimensions: Flange width = 2000 mm Flange thickness = 150 mm Overall depth = 750 mm Rib width = 300 mm The beam is provided with 6 No. 32 mm diameter HYSD bars of grade Fe 500. Concrete used is of grade M 25 : Find the moment of resistance of the beam using limit state method. Also find the magnitude of two point loads at 3 m distance from the ends. [Assume effective cover = 70 mm]
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- Question 8 1 p 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'c = 25MPa 800 TE 730 N12 ligs (fsv.t-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Calculate the concrete stresses in tension and compression of the reinforcement concrete beam shown in Figure 3. Compression concrete stress Choose ] Tension Concrete stress Choose]A reinforced concrete T – beam is to be designed for tension reinforcement only. The beam width is 250 mm and the effective depth is 400 mm. The flange thickness is 100 mm and its effective flange width is 900 mm. The applied moment is 300 kN–m. What is the area of tension reinforcement required? use: fc’ = 20.7 MPa and Fy = 414 MPa. * a. 3 983 mm² b. 5 105 mm² c. 2 166 mm² d. 4 094 mm²A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6 - ø20 mm bars in two rows with 25 mm vertical clear spacing. Use material strength f'c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = _______ Depth of uniform stress block at ultimate stage in mm to the neares whole number = _______ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________
- The T-beam shown in figure resulted from monolithic construction of the beam and slab. The effective flange width is 1100 mm and the uniform slab thickness is 120mm. Width of beam is 340 mm, total depth of the T-section is 590 mm. The centroid of steel is 70 mm from extreme concrete fiber. Concrete strength f’c= 21 MPa amd steel strength fy= 415 MPa. 1 Calculate the nominal strength of the beam for positive moment neglecting the contribution of the top reinforcement, KN-m A 428.55 B 503.20 C 355.96 D 637.52 2 Calculate the nominal strength of the beam for negative moment, KN-m A 289.88 B 275.53 C 311.67 D 325.483) A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-∅25 mm bars in two rows with 25 mm vertical clear spacing. Use material strengths f’c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = ___________ Depth of uniform stress block at ultimate stage in mm to the nearest whole number = ___________ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________A rectangular beam has the dimensions (see Figure) b = 12 in, h= 20 in, and d= 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in?. The concrete compressive strength fe is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psi
- *4-36. The composite bar consists of a 20-mm-diameter A-36 steel segment AB and 50-mm-diameter red brass C83400 end segments DA and CB. Determine the average normal stress in each segment due to the applied load. Esteel l = 200 x10 Pa. EBrass = 101 K109h. |-250 mm-- 500 mm -250 mm- 50 mm 20 mm 75 kN 100 kN D A 75 kN 100 kN В CThe 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=wA W18 x 40 floor beam supports a 4-inch-thick reinforced concrete slab with an effective width b of 81 inches. Sufficient anchors are provided to make the beam fully composite. The 28-day compressive strength of the concrete is f,c = 4 ksi. a. Compute the moment of inertia of the transformed section. b. For a positive service load moment of 290 ft-kips, compute the stress at the top of the steel (indicate whether tension or compression), the stress at the bottom of the steel, and the stress at the top of the concrete.
- Using the stress block, determine the ultimate moment of resistance of the section shown in Figure 2 and check whether the steei provided satisfies the bending moment due to the loads on the beam. Characteristic compressive strength of concrete, fck= 25 N/mm² Characteristic tensile strength of steel, fyk = 500 N/mm2 Clear cover to main steel as 20 mm. Ultimate Design Load =13 kN/m 2 402 mm 370 mm 2 1470 mm 9 m 230 mm Figure 2A beam cast monolithically has the following properties: bf=1200mm, t or hf = 110mm, bw=380mm and h=800mm. It is reinforced with 10D32mm grade 420MPa bars. Concrete strength is assumed to be 27.5MPa and the centroid of tension reinforcement is located 665mm from the outermost compression fiber. A. Determine maximum nominal moment to ensure tension controlled, kN-m. B. Calculate the balanced steel area, mm2. C. Calculate the balanced moment in kN-m.A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-25 mm diameters bars in two rows with 25 mm vertical clear spacing. Use material strengths f'c = 21 MPa and fy = 415 Mpa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm Depth of uniform stress block at ultimate stage in mm to the nearest whole number Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places