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 stecl is 0.0044. 500 mm 100 mm 200 mm
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- 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 00Q.2. The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stress- strain diagram determine the followings properties of the material (Poisson's ratio of the material is 0.32) : 600 a) Modulus of elasticity 550 500 b) Yield strength 450 c) Toughness 400 350 d) Resilience 300 e) Shear modulus 250 200 f) Bulk modulus 150 g) Ductility as described by 100 percent change in length 50 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 Strain Note: Show your methods and calculations clearly. Stress, MPaThe stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mmdiameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stressstrain diagram determine the followings properties of the material (Poisson’s ratio of the material is 0.32) : d) Resiliencee) Shear modulusf) Bulk modulusg) Ductility as described bypercent change in length
- The stress-strain diagram of a reinforcement steel having a cross-sectional diameter of 12 mm diameter and 100 mm gage length is determined after its tensile strength test as follows. Based on the stress- strain diagram determine the followings properties of the material (Poisson's ratio of the material is 0.32) : 600 a) Modulus of elasticity 550 500 b) Yield strength 450 c) Toughness 400 350 d) Resilience 300 e) Shear modulus 250 200 f) Bulk modulus 150 g) Ductility as described by 100 percent change in length 50 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 Strain Stress, MPaA 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.)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.
- The composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P = 52 kips is applied at 65°F. Compute the stress (ksi) in the Aluminum at 116 °F. Assume a = 6.5 x 10-6/° F for steel and 12.8 x 106/°F for aluminum Given: L1 = 15in; L2 = 11in Your final answer should contain two decimal places Steel A = 3 in² E = 29 x 106 psi Correct Answer: 3.92 L2 Aluminum A = 2 in² E = 10 x 106 psi L1The composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P 52 kips is applied at 65° F. Compute the stress (ksi) in the Aluminum at 116 °F. Assume a = 6.5 x 106/° F for steel and 12.8 x 106°F for aluminum Given: L1 = 17in; L2 = 13in %3D %3D Your final answer should contain two decimal places Aluminum A = 2 in? E = 10 x 10 psi Steel A = 3 in? E = 29 x 10 psi L1 - L2For the cross section shown below, the material and sectional properties are given as follows: Determine the modular ratio. The concrete modulus of elasticity can be estimated by [psi] where must be in unit psi. (b) Draw the transformed section. (C) Show that the cross-section is elastic and does not have cracks when a bending moment of 1,000 kips-in is applied. Also, given the bending moment, find the maximum stress in concrete and steel. The neutral axis is at 11.05 in. from the top surface, and the moment of inertia around the neutral axis is 26676 in4.
- PROBLEM 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 modulus of elasticity of "reinforced concrete" in RC design, is O A. 420 GPa B. 200 GPa C. None () D. 220 GPaA reinforced concrete beam of rectangular section has the cross-sectional dimensions shown in the figure below. The concrete of normal density has a compressive strength of 30 MPa and a modulus of rupture of 3.3 MPa. The yield strength of steel is 400 MPa. a) Calculate the stress due to an applied bending moment of 45 kN-m b) Calculate the bending moment at which cracking of concrete will be initiated (cracking moment Mcr) h=600 mm b=300 mm 키 As-2000 mm 4- No 25 d=530 mm