The ratio of strain at the centroidal level of compression steel to strain at the centroidal level of tension steel for a rectangular section subjected to bending which has effective cover to compression steel as d' and neutral axis depth from topmost compression fiber as c is (according to TS500) :
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- Estimate the transverse tensile strength of the concrete in Problem 12.6.Problem 2 A composite beam made of steel and concrete has the dimensions and layout shown below. Determine (a) the location of the neutral axis; (b) The maximum allowable positive moment for the beam cross-section; and (c) the maximum allowable negative moment for the beam cross-section. = 200 GPa and a yield stress oy, steel = = 25 GPa and a yield stress oy, concrete = 30 MPa. The steel has an elastic modulus Esteel 275 MPa. The concrete has an elastic modulus Econcrete Assume that the concrete cannot carry any tensile stress. 2500mm 100mm 10mm 260mm 6mm 100mmA RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION,20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE XDIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF AUNIFORMLY DISTRIBUTED FORCE OF Px=3kN (COMPRESSION), Py=4kN(TENSION) AND Pz=7kN (COMPRESSION) IN THE X, Y AND Z DIRECTIONSRESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa,DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSODETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THEWOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.
- c) Find the stresses in the concrete and the reinforcement for the following applied moments: (i) – M1= 35kN.m and (ii) – 120kN.m Cross-section: width height Modulus of elasticity: concrete reinforcement Reinforcement: depth area b:= 300-mm h := 520-mm Ec:= 30-GPa Es:= 200-GPa d:= 460-mm As 1470-mm 2 h d bPROBLEM 6.56 50 mm A steel bar and an aluminum bar are bonded together as shown to form a composite beam. Knowing that the vertical shear in the beam is 18 kN and that the modulus of elasticity is 200 GPa for the steel and 73 GPa for the aluminum, determine (a) the average stress at the bonded surface, (b) the maximum stress Aluminum 25 mm Steel in the beam. 36 mmThe composite bar, firmly attached to unyielding supports, is initially stress free. What maximum axial load P can be applied if the allowable stresses are 100 MPa for aluminum and 140 MPa for steel? Bronze Steel A = 1800 mm² A = 1125 mm? E = 83 GPa %3D E = 200 GPa %3D P -450 mm- 360 mm·
- A short reinforced concrete column is subjected to a 1000 kN axial compressive load. Themoduli of elasticity of plain concrete and steel are 25 GPa and 207 GPa, respectively, and thecross-sectional area of steel is 2% of that of the reinforced concrete. Considering the columnas a structural member made of a composite material and subjected to load parallel to the steelrebars, calculate the following:a) The modulus of elasticity of the reinforced concreteb) The load carried by each of the steel and plain concretec) The minimum required cross-sectional area of the column given that the allowablecompressive stress of plain concrete is 20 MPa and that the allowable compressivestress of plain concrete will be reached before that of steelA composite bar is rigidly attached to the wall at A as shown, Axial loads are applied at the positions indicated. -Determine axial stress in member AB (in MPa unit) - Determine the displacement of joint C (in mm unit) -Determine the deformation in member BC (in mm unit)To ensure adequate ductility for preventing failures during earthquakes, the percentage tension reinforcement 'p' on any face at any section in beams and girders should NOT exceed which one of the following values, when M15 concrete and mild steel bars are used for the construction of beams or girders (p is the percentage compression reinforcement and fk and have their usual meanings)? sy (a) p≤p +0.011ck Isy (b) pspc +0.19 k fsy fck (c) psp +0.15 k fsy (d) psp. +0.11/ck fay
- A composite beam is made of two brass [E - 111 GPa] bars bonded to two aluminum [E - 72 GPa] bars, as shown. The beam is subjected to a bending moment of 250 N-macting about the z axis. Using a - 10 mm, b- 65 mm, c- 20 mm, and d- 45 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum Brass Brass Aluminum Answers: (a) Oa i MPa (b) Oer MPa Save for Later Attempts: 0 of 1 used Submit AnswerWhat is the magnitude of the compressive force on the left plumb in kN? F1 the steel and the left column concrete are bonded, what is the deformation due to applied load? part 3 is pictured9:YA I docs.google.com/forms O :D * Required Question 1 Determine the maximum stresses in the stepped shaft composite of two materials steel and Aluminum that fixed at the two ends as shown in Figure. It is subjected to a torque of 300 N.m at the section C. The larger section is of Aluminum and the smaller one is of steel. Gs = 82 GPa and Gal = 27 GPa. * 150 D St AI 50 300 N.m 600 500 1 Add file Page 2 of 3 Вack Next Never submit passwords through Google Forms.