Two beams are shown below. The first is singly reinforced with 3-#8, the second is doubly reinforced by adding 2-#7 both top and bottom. The concrete compressive strength, f’c = 3000 psi and the steel is grade 60.
For the doubly reinforced beam, what is the location of the neutral axis, c, measured from the top of the beam?
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3.9 in. |
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5.6 in. |
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5.0 in. |
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4.4 in. |
Homework Answers
answer is 5in
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Two beams are shown below. The first is singly reinforced with
3-#8, the second is doubly...
Reinforced Concrete For the singly-reinforced beam shown below, determine the concrete and steel stresses at the...
Reinforced Concrete
For the singly-reinforced beam shown below, determine the concrete and steel stresses at the location of the maximum positive and negative moments. Use: modular ratio = 9. Has the beam already cracked? If the allowable concrete stresses are: concrete = 9MPa and steel = 138MPa, could this beam resist the maximum stresses experienced by the beam without failure? (Prove with solution.) 30 kN/m 16 J 530 mm 250mm Whe 250mm 1m Q
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus...
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
Reinforced concrete Problem #1 (40 points): A beam with x-section shown in the figure is made...
Reinforced concrete
Problem #1 (40 points): A beam with x-section shown in the figure is made out of concrete with compressive strength fc = 4000 psi and the steel reinfrocemnt is of Grade 60 (fy 60000psi). Determine 1 The maximum compressive stress in the concrete f and the tensils stress in the steel , if the section is subjected to a bending moment of 130 ft-k (assume n 8) N.A._ 23" 23-х 4 #10 (5.06 in. 3" 18"
For the same singly-reinforced (reinforcement in tension only) concrete section used in Homework 3, we want...
For the same singly-reinforced (reinforcement in tension only) concrete section used in Homework 3, we want to investigate the impact of using a parabolic semi-segment for the shape of the concrete stress-strain curve in the determination of the ultimate capacity of the beam. Note that steel stress-strain behavior will be modeled using elasto-plastic model. The properties of the materials are s"-4500 psi for the concrete and Jy -60 ksi for the reinforcement. Using this type of behavior leads to the...
10. A beam cross-section is limited to the size shown below. Determine the required area of...
10. A beam cross-section is limited to the size shown below. Determine the required area of reinforcement for service load moments Mp-430 ft-kip and M 175 ft-ki ksi. Note that the beam self weight is already included in the dead load moment. Assume that c 0.6c for the singly-reinforced part of the section (for your initial guess). Hint: first calculate the nominal moment resisted by the concrete section without compression steel. Check the strength only p.f -4,000 psi and f,-60...
Design a reinforced concrete beam that has a rectangular cross section with a width b =...
Design a reinforced concrete beam that has a rectangular cross section with a width b = 24 in. The depth h is limited by architectural reasons to 16 in. It has to carry a factored moment Mu = 360 kip- ft. including the self-weight. The design should satisfy ACI 318 for tension controlled members. Use Grade 60 steel and a specified concrete compressive strength = 4,000 psi. Determine the flexural reinforcement for the beam, and use compression steel if needed....
1. For the beams shown, find the location of the neutral axis relative to the compression...
1. For the beams shown, find the location of the neutral axis relative to the compression face, c, and the strain in the steel, Et. Is the section tension controlled, compression controlled or in the transition zone? What is the nominal moment21 strength, Mn, the strength reduction factor, , and the design moment strength, Mn 20 3-48 a) fe 3000 psi ASTM A615 Gr60 reinforcement QUESTION2 Problem 1a: What is the nominal moment strength of the beam, Mn? O245 ft-k...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, fc, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section (rounded...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, f 'c, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section...
Problem #01 (50 points) Consider the singly reinforced rectangular concrete beams having the prop...
I'd
appreciate if you can show your working steps.
Problem #01 (50 points) Consider the singly reinforced rectangular concrete beams having the properties listed in the table below. (a) Compute the nominal and design strengths of beam #1 to #4. (b) Taking beam #1 as the reference point, calculate the ratio of design strength of other beams to that of beam #1. (c) what is the most effective way to increase the design strength фМп ? (Note that each beam...
Reinforced Concrete
For the singly-reinforced beam shown below, determine the concrete and steel stresses at the location of the maximum positive and negative moments. Use: modular ratio = 9. Has the beam already cracked? If the allowable concrete stresses are: concrete = 9MPa and steel = 138MPa, could this beam resist the maximum stresses experienced by the beam without failure? (Prove with solution.) 30 kN/m 16 J 530 mm 250mm Whe 250mm 1m Q
Problem 2. A concrete beam is reinforced by three steel rebars placed as shown. The modulus of elasticity is 3x106 psi for concrete and 29x106 psi for steel. Find the tensile stress in rebars and maximum compressive stress in concrete under an external bending moment of (a) 80 kip.in and (b) 240 kip.in. Given the compressive strength of concrete fe' = 3 ksi and yield stress of rebars fy = 60 ksi, discuss the state of crack in concrete and...
Reinforced concrete
Problem #1 (40 points): A beam with x-section shown in the figure is made out of concrete with compressive strength fc = 4000 psi and the steel reinfrocemnt is of Grade 60 (fy 60000psi). Determine 1 The maximum compressive stress in the concrete f and the tensils stress in the steel , if the section is subjected to a bending moment of 130 ft-k (assume n 8) N.A._ 23" 23-х 4 #10 (5.06 in. 3" 18"
For the same singly-reinforced (reinforcement in tension only) concrete section used in Homework 3, we want to investigate the impact of using a parabolic semi-segment for the shape of the concrete stress-strain curve in the determination of the ultimate capacity of the beam. Note that steel stress-strain behavior will be modeled using elasto-plastic model. The properties of the materials are s"-4500 psi for the concrete and Jy -60 ksi for the reinforcement. Using this type of behavior leads to the...
10. A beam cross-section is limited to the size shown below. Determine the required area of reinforcement for service load moments Mp-430 ft-kip and M 175 ft-ki ksi. Note that the beam self weight is already included in the dead load moment. Assume that c 0.6c for the singly-reinforced part of the section (for your initial guess). Hint: first calculate the nominal moment resisted by the concrete section without compression steel. Check the strength only p.f -4,000 psi and f,-60...
1. For the beams shown, find the location of the neutral axis relative to the compression face, c, and the strain in the steel, Et. Is the section tension controlled, compression controlled or in the transition zone? What is the nominal moment21 strength, Mn, the strength reduction factor, , and the design moment strength, Mn 20 3-48 a) fe 3000 psi ASTM A615 Gr60 reinforcement QUESTION2 Problem 1a: What is the nominal moment strength of the beam, Mn? O245 ft-k...
A rectangular reinforced concrete beam of span 16 ft supports a concentrated load of 40 kips at mid-point of the beam and a uniformly-distributed load of 4 kips/ft over the entire span. Given: (a) The breadth of the beam is 18 inches. (b) Concrete compressive strength, fc, is 3500 psi. (c) Rebar is Grade 40 steel i) Determine the maximum moment and maximum shear acting on the beam. ii) Determine the minimum effective depth 'd' of the beam section (rounded...
I'd
appreciate if you can show your working steps.
Problem #01 (50 points) Consider the singly reinforced rectangular concrete beams having the properties listed in the table below. (a) Compute the nominal and design strengths of beam #1 to #4. (b) Taking beam #1 as the reference point, calculate the ratio of design strength of other beams to that of beam #1. (c) what is the most effective way to increase the design strength фМп ? (Note that each beam...
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