Question

1. A square beam made using concrete with f'c = 6000 psi and steel with fy = 60000 psi has a width b = 20 in., an effective depth d = 17.5 in., and a total depth h = 20 in. The concrete tensile strength in bending (modulus of rupture) is fr = 530 psi. The elastic modulus of concrete and steel are, respectively, Ec = 4,030,000 psi and Es = 29,000,000 psi. The tensile steel consists of four No.11 (No.36) bars with bar spacing equal to 5 in. a) Determine the stresses caused by a bending moment M = 100 ft - kips (1,200,000 in-lb). b) Determine if the beam meets the crack control criteria in the ACI code. c) Determine the nominal moment Mn at which the beam will fail. 2. A rectangular beam having b = 10 in. and d = 17.5 in. spans l = 15 ft, face-to-face of simple supports. It is reinforced for flexure with three No. 9 (No. 29) bars that continue uninterrupted to the ends of the span. It is to carry a total service load of 4.97 kips/ft uniformly distributed along the span. Material strength are f'c = 4000 psi and fy = 60000 psi. Throughout what part of beam web reinforcement is required. 3. A 15 x 15 in. column is reinforced with six No.8 (No. 25) bars as shown in the following figure. The concrete cylinder strength is f'c = 4000 psi and the steel yield strength is fy = 60000 psi. Determine: (a) The load Pb, moment Mb and corresponding eccentricity eb, for balanced failure; (b) The load and moment for a representative point in the tension failure region of the interaction curve; (c) The load and moment for a representative point in the compression failure region; (d) The axial load strength for zero eccentricity; (e) Sketch the strength interaction diagram for this column; (f) Design the transverse reinforcement, based on ACI Code provisions.

          1. A square beam made using concrete with f'c = 6000 psi and steel with fy = 60000 psi has a width b = 20 in., an effective depth d = 17.5 in., and a total depth h = 20 in. The concrete tensile strength in bending (modulus of rupture) is fr = 530 psi. The elastic modulus of concrete and steel are, respectively, Ec = 4,030,000 psi and Es = 29,000,000 psi. The tensile steel consists of four No.11 (No.36) bars with bar spacing equal to 5 in.
a) Determine the stresses caused by a bending moment M = 100 ft - kips (1,200,000 in-lb).
b) Determine if the beam meets the crack control criteria in the ACI code.
c) Determine the nominal moment Mn at which the beam will fail.

2. A rectangular beam having b = 10 in. and d = 17.5 in. spans l = 15 ft, face-to-face of simple supports. It is reinforced for flexure with three No. 9 (No. 29) bars that continue uninterrupted to the ends of the span. It is to carry a total service load of 4.97 kips/ft uniformly distributed along the span. Material strength are f'c = 4000 psi and fy = 60000 psi. Throughout what part of beam web reinforcement is required.

3. A 15 x 15 in. column is reinforced with six No.8 (No. 25) bars as shown in the following figure. The concrete cylinder strength is f'c = 4000 psi and the steel yield strength is fy = 60000 psi. Determine:
(a) The load Pb, moment Mb and corresponding eccentricity eb, for balanced failure;
(b) The load and moment for a representative point in the tension failure region of the interaction curve;
(c) The load and moment for a representative point in the compression failure region;
(d) The axial load strength for zero eccentricity;
(e) Sketch the strength interaction diagram for this column;
(f) Design the transverse reinforcement, based on ACI Code provisions.

1. A square beam made using concrete with f'c = 6000 psi and steel with fy = 60000 psi has a width b = 20 in., an effective depth d = 17.5 in., and a total depth h = 20 in. The concrete tensile strength in bending (modulus of rupture) is fr = 530 psi. The elastic modulus of concrete and steel are, respectively, Ec = 4,030,000 psi and Es = 29,000,000 psi. The tensile steel consists of four No.11 (No.36) bars with bar spacing equal to 5 in.
a) Determine the stresses caused by a bending moment M = 100 ft - kips (1,200,000 in-lb).
b) Determine if the beam meets the crack control criteria in the ACI code.
c) Determine the nominal moment Mn at which the beam will fail.

2. A rectangular beam having b = 10 in. and d = 17.5 in. spans l = 15 ft, face-to-face of simple supports. It is reinforced for flexure with three No. 9 (No. 29) bars that continue uninterrupted to the ends of the span. It is to carry a total service load of 4.97 kips/ft uniformly distributed along the span. Material strength are f'c = 4000 psi and fy = 60000 psi. Throughout what part of beam web reinforcement is required.

3. A 15 x 15 in. column is reinforced with six No.8 (No. 25) bars as shown in the following figure. The concrete cylinder strength is f'c = 4000 psi and the steel yield strength is fy = 60000 psi. Determine:
(a) The load Pb, moment Mb and corresponding eccentricity eb, for balanced failure;
(b) The load and moment for a representative point in the tension failure region of the interaction curve;
(c) The load and moment for a representative point in the compression failure region;
(d) The axial load strength for zero eccentricity;
(e) Sketch the strength interaction diagram for this column;
(f) Design the transverse reinforcement, based on ACI Code provisions.

Added by Sam A.

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