Given the data for reinforced concrete beam shown belowe, determine the following: a. Cracking moment b. Has the beam section cracked in tension? c. Determine the bending stresses at the extreme fibers of the beam.
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- Determine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mm1. Shown is a composite plate joined together by rivets. The components consist of two tension bar plates that is % X 4 inch and riveted together by two splice plates which is 0.8 X 6 inch. Each rivet has a diameter of 25.4 mm. Considering that the allowable stress for the tension bar plates and splice plates is o=20.0 ksi, the allowable shear stress for the rivets is o=25.0 ksi and the allowable bearing stress on the rivets and splice plates is o=25.0 ksi. What will be the maximum permissible load P such that none of the allowable stresses will be exceeded? Splice Plates a-0.75 in Bar Lc =0.80 in. Bar P d = 1.0 in. b=4.0 in. Rivets 'e = 6.0 in.The cross-section of the reinforced concrete beam having an effective depth of 500 mm is shown in the figure (not drawn to the scale). The grades of concrete and steel used are M35 and Fe550, respectively. The area of tension reinforcement is 400 mm?. It is given that the corresponding to 0.2% proof stress, the material safety factor is 1.15 and the yield strain of Fe550 steel is 0.0044. 500 mm 100 mm 200 mm 0 A, = 400 mm? As per IS 456:2000, the limiting depth (in mm, round off to nearest integer) of the neutral axis measured from the extreme compression fiber, is ww 00
- The properties of the reinforced concrete beam are b = 315 mm, d = 460 mm, Ast = 1102 mm2, and Est / Eco = 9. If the working stresses are 16.9 MPa for concrete and 117.2 MPa for steel, determine the corresponding bending moment (in Nm) for the steel. Round off the final answer to two decimal places.The cross section of a beam is shown in the figure is reinforced with 5-28 mm diameter bars placed at 100 mm from the bottom fiber. The beam is expected to carry a service moment of 280 kN-m. Use f'c=28 MPA and fy=280 MPa. All dimensions are in millimeters. Using WSD method, calculate the following: 1. Cracking moment of the section. 2 Compressive stress on the concrete., 3. Tensile stress on the steel. 4. Compressive force on the concrete. 300 I00 300 300 300 100 mm 100 -1700 mmA rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: 24 KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 and E = 200 GPa, Determine the total resulting strain in the z- direction. Note: CN is the last 2 non zero digits of your cellphone number
- Determine the tensile steel ratio of a singly reinforced concrete beam for the following conditions using concrete strength f’c = 28 MPa and steel yield strength fy = 420 MPa. 1. if the tensile strain is εs = fy/Es upon crushing of concrete at a strain of 0.003. = (5 decimal places) 2. if the tensile strain is set as 0.010 upon crushing of concrete at a strain of 0.003. = (5 decimal places) 3. Minimum as required by NSCP 2015. = (5 decimal places)The cross-section of the reinforced concrete beam having an effective depth of 500 mm is shown in the figure (not drawn to the scale). The grades of concrete and steel used are M35 and Fe550. respectively The area of tension reinforcement is 400 mm. It is given that the corresponding to 0.2% proof stress, the material safety factor is 1.15 and the yield strain of Fe550 steel i5 0.0044. 500 mm 100 mm 200 mm A = 400 mm As per IS 456:2000, the limiting depth (in mm, round off to nearest integer) of the neutral axis measured from the extreme compression fiber, isA rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 andE = 200 GPa, Determine the total resulting strain in the x- direction. %3D
- A representative reinforced concrete composite beam section is shown in the figure below. The number of reinforcement is 6 and the diameter of the reinforcement is 16 meters. cross section Determine the neutral axis (x) and calculate the maximum normal stresses that will occur in concrete and steel. It will be assumed that the concrete does not carry tensile stress. The modulus of elasticity of the steel is 200000 Mpa. The modulus of elasticity of concrete is 28000 Mpa. The section width is b= 400 mm. Take the cover as 50 mm. (The maximum bending moment acting on the section is 59 kNm and d= 700 mm.)A RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION, 20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE X DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF Px=3 (COMPRESSION), Py=6 (TENSION) AND Pz=9 (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.A Normal-weight concrete T beam shown in the figure below is reinforced at the tension side by 3 - #25 bars. The concrete is assumingly uncracked and has a compressive strength of fe' = 29 MPa, fy=370 MPa, and the clear concrete cover is 40 mm, the modular ratio is n=9, and the web rein. is #10 mm. Determine the cracking moment (kN m) of the section using solution 2. 1300 125 250 500