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- 600 mm Figure 1 Determine the following: a) Factored axial load capacity (KN) and factored flexural capacity (KN-m) when concrete fails at a strain of ɛc = 0.003 and steel fails at a strain of ɛs = fy/Es. The displaced concrete shall not be neglected. b) Ultimate moment capacity of the column at infinitely large eccentricity, i.e., the column acts as a beam. Ignore the effect of the displaced concrete. The column drawn in Figure 1 is reinforced with 8 x ¢28-mm bars distributed around its perimeter. Material strengths are fc'=28 MP and fy=415 MPa. The total bar covering is 70 mm. If subjected to eccentric loads, the column will bend about the stronger axis of the section. ww'00ɛA simply supported concrete beam 6m long is reinforce with four-28 mm diamgram tension bars. The beam has a width of 300mm and over all depth of 400.the steel covering to the centroid of the renforcement is 70 mm fc=30mpa and fy 418mpa A .draw a stress diagram B.compute for the ultimate capacity of the beamProblem #1. The base of a rectangular reinforced concrete beam is 300mm and the effective depth is 550mm. Concrete compressive strength on the 28" day is 24MPA and steel yield strength is 415MP.. Determine : a. The depth of compression block (in mm, 2 decimal places), the strain in the tension steel (5 decimal places) and ultimate moment capacity (in KN.m, nearest tenth) of the beam if it is reinforced with 4-32mm diameter bars. b. The depth of compression block, the strain in the tension steel and ultimate moment capacity of the beam if it is reinforced with 4-20mm diameter bars.
- A reinforced beam has a: width = 500 mm effective depth = 600 mm n = 9 If the maximum stress of 5 MPa is developed in the concrete when resisting a moment of 80 kN-m. What stress is developed in the steel. What area of reinforcing steel is required?Design the Beam AB Below by using Working Stress Method: A 6.5 kN/m В 4.4 m Dead Load, D.L=17 kN/m Live Load, L.L = 6.3 kN/m The allowable compressive stress of the concrete, fc = 14 N/mm? Allowable tensile stress in steel, fs = 120 N/mm? Modulus of elasticity of steel, Es = 230000 Mpa Modulus of elasticity of Concrete, Ec 21000 Mpa Beam Width, b 270 mmA 250 mm wide rectangular concrete beam is reinforced for tension only. The beam has an effective depth of 300 mm. fc’ = 9.3 MPa, fs = 138 MPa, n = 9. Use working stress design for balanced condition. 1. Which of the following most nearly gives the value of k. a. 0.3225 b. 0.3526 c. 0.6234 d. 0.3775 2. Which of the following most nearly gives the value of j. a. 0.7482 b. 0.8472 c. 0.8742 d. 0.4278 3. Which of the following most nearly gives the balanced moment capacity of the beam in kN.m. a. 34.52 b. 45.36 c. 36.7 d. 32.3
- A 300mm x 500mm rectangular concrete beam is reinforced with four pieces 25mm diameter bars. The beam is simply supported on a span of unknown length. The uniform linear dead load from the slab is 18kN/m (weight of beam not included) and the uniform linear live load is 10KN/m. The effective depth of the beam is 430mm. Using your own values of fc' = 21.1 MPa and fy = 345 MPa from the excel file, determine the safe length of the beam. Use area of one 25mm diameter bar = 510mm2.A reinforced concrete beam experiences a load as shown. It has a base of 350 mm, and an effective depth of 600 mm, with 4 – 25 mm diameter rebars. The concrete has a compressive strength of 27.6 MPa, Determine the maximum distributed load that the beam can carry. Assume that the allowable stress in steel is 167 MPa (instead of 160 MPa). w 1.5 m 10 kN 1.5 m 5 mA round vertical steel column 500 mm in outside diameter and a wall thickness of 10mm is reinforced with four reinforcing bars 3 cm in diameter. It is filled with concrete and supports a load of 800 kN. Bearing plates are placed on top and bottom of the 1.5 m high column to assure equal deformation of the steel and concrete. Find the stress in each material and the change in height of the column. [Ec = 14 000 MPa, Es=200 GPa assume both column and steel re-bar are same type of steel]
- The prestress T-beam section has a simple span of 6 m. The tendons is subjected to an initial stress of 900 MPa with an area of 800 mm?. Assuming a loss of stress of 18%, no tension will be acting at the bottom and a maximum stress of 9.5 MPa at the top should not exceeded. -450 00 800 100 150- Determine the safe uniform live load that the beam could carry if the unit weight of concrete = 24 kN/m?. (kN/m)A rectangular concrete beam has a width of 300 mm and an effective depth of 550 mm. The beam is simply supported over a span of 6 m and is used to carry a uniform dead load of 25 KN/m and a uniform live load of 40 kN/m. Assume fic= 21 MPa and fx = 312 MPa. Compression reinforcement if necessary shall be placed at a depth of 80 mm from the extreme compression concrete. Which of the following most nearly gives the maximum tension steel area for singly reinforced beam? A. 3810.50 mm2 B. 3959.17 mm2 C. 4223.11 mm2 D. 4751.04 mm2The beam is loaded uniform deadload of 42 kN/m (including its own weight), and a uniform live load of 48 kN/m. Concrete strength fc' = 21 MPa and steel yield strength fy = 415 MPa, concrete cover is 65 mm from the centroid of the bars. Assume El to be constant. 320 mm 540 mm 7m 2m a. What is the uniform factored load on the beam in kN/m? b. What is the vertical reaction (factored) at B in KN? c. What is the maximum nominal moment can the beam carry if it is to be design as singly reinforced, in kN.m? d. What is the required tension steel area in mm2, at point of maximum positive moment? e. What is the required tension steel area in mm2, at point of maximum negative moment? f. Using simplified calculation, calculate the nominal shear strength provided by concrete near the fixed end, in KN? g. Using 10 mm W-stirrups with fyh = 275 MPa, what is the required stirrup spacing near the fixed end?