A simply supported post-tension beam as shown in Figure (1), span length is 14m, carries a uniformly distributed service live load of 10 kN/m. Find the value and location of initial pre-stress force (Pi), so that the mid span stresses in concrete at top fiber is zero at initial stage and zero stress at bottom fiber in service stage. Total losses in pre-stressed force are 15%. 100 200 100 750 100 400 Typical Cross section. Figure (1)
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- 1. 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.Assuming concrete is uncracked. Compute the bending stress in the extreme fiber of the beam of figure for bending moment 1x10°kg cm . Determine the cracking moment of the section. A = 10cm² %3D E, = 2*10°kg / cm² E = 2*10°kg / cm² %3D %3D f'. =1836kg / cm² %3D 90 cm 100 cm 40 cmDetermine 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. if the tensile strain is εs = fy/Es upon crushing of concrete at a strain of 0.003. = ___ (5 decimal places)
- The composite bar consists of a 25-mm-diameter A-36 steel segment AB and 60-mm-diameter red brass C83400 end segments DA and CB. (Figure 1) Figure -250 mm- D A 500 mm 75 kN 75 kN 100 KN 100 KN B 1 of 1 > 250 mm- C Part A Determine the average normal stress in segment DA due to the applied load. Express your answer to three significant figures and include the appropriate units. ODA = Submit Part B JAB = O Submit HÅ Value Request Answer Determine the average normal stress in segment AB due to the applied load. Express your answer to three significant figures and include the appropriate units. μA Value C Request Answer Units ? Units ?A 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 numberA reinforced concrete beam has a width of 300 mm, an effective depth of 500 mm and is reinforced with a steel having an area of 1200 mm^2. The beam is subjected to a bending moment of 70 kN- m. If the modular ratio = 8, using WSD, Cracked Analysis. a) Determine the stress developed in the concrete. O 7.914 MPa 8.903 MPа 5.936 MPa 6.925 MPa None of the Choices 9.893 MPa
- A cylindrical block of concrete is 300mm long and has a circular cross section of 100mm in diameter. It carries a total compressive load of 67KN and under this load contract 0.2mm. Estimate the compressive stress and strain .A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm THICK IN THE Z DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF 210 KN (COMPRESSION), 170 KN (TENSION) AND 230 KN (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON'S RATIO = 1/4 & E= 72 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETERMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME Z DEFORMATION AS THE ORIGINAL.Assuming concrete is uncracked. Compute the bending stress in the extreme fiber of the beam of figure for bending moment 1x10°kg cm . Determine the cracking moment of the section. =10cm? E, = 2*10°kg /cm? E = 2*10 kg /cm f'. =1836kg / cm? 90 cm 100 cm 40 cm
- 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 mmA 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 500A pretensioned member with a dimension of 250mm x 360mm is subject to an eccentric tendon that is located 105mm from the soffit. Area of the prestressing steel to be 502 sq. mm and the modulus of elasticity is 200 GPa. The Modulus of elasticity of concrete is 36.8 GPa. Creep coefficient = 1.6 and the shrinkage strain = 3 x10^6. Assume a 5% steel relaxation. Find the total prestressed loss in percentage.