A 2.0 meter Cantilever Beam CarriesDirection. TheCouple ofsizeanda386.98 kN-m atClockwisePrescribedbeampropertiesisb=250mm, d=450mm, d' = 75mm. f'. = 30MPa. The Beam is Reinforced with aGrade 60 Steel with and fy414.70 MPa.Calculate the Maximum Steel RatioCalculate the depth if the compression blockCalculate the Steel Reinforcement Area at Compression and Tension386.98 kN-m

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Answered: A 2.0 meter Cantilever Beam Carries a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A simply supported rectangular beam of length L has a width of b and an effective depth of d. Compression steel bars are placed at a distance d' from the extreme concrete compressive fiber. The beam supports service dead loads of wD and wl, respectively. Use fc'= 28 MPa and fy = 420 MPa. For the reinforcements, use 4 20 mm tension steel bars and 4 10 mm compression steel bars. b= 390 mm d= 615 mm d'= 165 mm L= 5.85 m Wd= 27.79 kN/m WI= 32. 25 KN/m Questions 1. Calculate the height of the neutral axis measured from the extreme compression fiber. 2. Calculate the strength reduction factor for the given beam. B. Calculate the design moment for the given beam.
1. The web has a width of 350 mm and the slab thickness is 100 mm. The beam has a span of l6.5 feet and spaced at 6.5 feet center to center of the beam. A reinforced concrete T-beam has an effective depth of 500 mm and has a reinforcement bar of 8 - #7 bar size at the bottom. Yield stress of steel is Fy = 280 MPa. Concrete has a strength of f c = 20.7 MPa Assume steel covering of 40 mm. a. Determine the effective width of the flange. b. Determine the depth of compres sion block. c. Determine the ultimate moment capacity of the beam.
A rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. Determine stress of steel in compression. Determine the depth of compression stress block. Determine the moment capacity of the beam.
A reinforced concrete beam having a width of 300mm and a overall depth of 600 mm is reinforced with 2-25mm compression bars placed 60 mm from extreme concrete & 6-25mm tension bars with concrete covering of 60 mm from the centroid of the bar group. Concrete Strength, fc' = 27 MPa, Steel Strength, fy = 415 MPa. A. Determine the balanced steel area considering the contribution of the compression steel. B. Determine the maximum tension steel area allowed by the code.
A 62.6-kN vertical load P is applied at the corner of the square cross section of the steel compression member AB, which is free at its top A and fixed at its base B. Knowing that for the grade of steel used oy=345 MPa and E= 200 GPa, and using the allowable-stress method, determine the smallest allowable dimension d. B D 1.5 m The smallest allowable dimension dis mm.
4. Find the maximum allowable value of P for the column. The cross- sectional areas and working stresses () are shown in Figure 3. 2P FIGURE 3 Steel: A=500 mm² Qw=120 MPa Timber: A=2000 mm² Ωw =12 MPa Timber: A=8000 mm² Ωw =16 MPa
Topic: Restrained Beams 140KN 2.5m 3.5m 5KN/m 3.2m МА 6m MB 11WL2 Pab² 5WL2 Pa?b MA = - MB = - 192 L2 192 L2 INSTRUCTION: 1. Determine the maximum stress in the timber beam with the size of 120 x 370mm.
The 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?
Determine the maximum concrete and steel stresses at the point of maximum positive and negative moment. Fc'= 40 Mpa.
Please solve with complete detailed solution. Thank you.
A T section of a beam is fabricated from 2 - 12 mm x 150 mm steelplates and joined by welding as shown in Figure ST - 904. It carries a live loadof 6.5 kN/m extending half of its span. Neglect the weight 1. Compute the maximum compressive stress. ( bending stress incompression )2. Compute the maximum tensile stress. ( bending stress intension )3. Compute the maximum shear stress. 4. Compute the shear stress between the junction of web and flange. 5. Compute the maximum deflection. EI is constant.
A column ABC is constructed with uniform hollow circular section as shown below. The roof load at the top of column is 50 kN and the floor load at mid height is 150 kN. The compressive stresses in the portion AB and BC are and respectively. 50 kN 200 mm 150 kN 15 mm X-X C.

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