A simply supported beam with dimensions of b = 16 in., h = 28 in., d = 25.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 2.266667 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.4 kips/ft. The beam is reinforced with five No. 6 Grade 60 bars. The concrete strength is 10,000 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 9,103.4 in.4.
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A 505 N person stands at the end of a 1.42 m cantilever beam…
A 505 N person stands at the end of a 1.42 m cantilever beam. The beam has a base of 95 mm and a height of 160 mm. Determine the maximum bending stress in the beam.
A simply supported beam with dimensions of b = 14 in., h = 2…
A simply supported beam with dimensions of b = 14 in., h = 22 in., d = 19.5 in., and L = 25 ft supports a uniform service (unfactored) dead load of 1.720833 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.5 kips/ft. The beam is reinforced with five No. 7 Grade 60 bars. The concrete strength is 5,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the effective moment of inertia, Ie.The cracked moment Mcr = 53.75 kip-ft, and the maximum applied bending moment due to the combined service loads (dead plus live) Ma = 251.6 kip-ft. The neutral axis location of the cracked beam (measured from the top of the beam) is 6.1763 in.
A 575 N person stands in the middle of a 2.70 m simply-suppo…
A 575 N person stands in the middle of a 2.70 m simply-supported beam. The beam has a base of 90 mm and a height of 175 mm. Determine the maximum horizontal shear stress in the beam.
Force P = 41 N is applied to a lever at the end of a 32-mm-d…
Force P = 41 N is applied to a lever at the end of a 32-mm-diameter shaft. Force Q = 865 N is applied directly to the shaft. Determine the magnitude of the shear stress τxy at point H. Let a = 125 mm and b = 205 mm.
A beam is singly reinforced with the reinforcement in two ro…
A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 6 bars at a depth of 16 in. The top row contains 5 No. 7 bars at a depth of 12.5 in. Determine the effective (centroidal) depth, d, of the steel.
A beam is singly reinforced with the reinforcement in two ro…
A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 8 No. 6 bars at a depth of 20 in. The top row contains 5 No. 6 bars at a depth of 14 in. Determine the effective (centroidal) depth, d, of the steel.
A rectangular beam has a cross section of b = 16 in., h = 26…
A rectangular beam has a cross section of b = 16 in., h = 26 in., and d = 23.5 in. It is reinforced with two No. 6 Grade 60 bars. The concrete strength is 5,800 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Determine the transformed cross-sectional area of the bars, Ast.
A simply supported beam with dimensions of b = 18 in., h = 2…
A simply supported beam with dimensions of b = 18 in., h = 26 in., d = 23.5 in., and L = 23 ft supports a uniform service (unfactored) dead load of 2.1875 kips/ft including its own self weight plus a uniform service (unfactored) live load of 1.5 kips/ft. The beam is reinforced with two No. 7 Grade 60 bars. The concrete strength is 9,100 psi (normal weight). The beam has Grade 60 No. 3 stirrups. Using the effective moment of inertia, determine the immediate mid-span deflection of the beam due to the combined service loads (dead plus live).The effective moment of inertia Ie = 5,684.4 in.4.
A beam is singly reinforced with the reinforcement in two ro…
A beam is singly reinforced with the reinforcement in two rows. The bottom row contains 6 No. 8 bars at a depth of 22 in. The top row contains 2 No. 5 bars at a depth of 17 in. Determine the effective (centroidal) depth, d, of the steel.