A beam has dimensions of b = 14 in., h = 30 in., d’ = 2.5 in., and d = 27.5 in. It is reinforced with 2 No. 5 bars on the compression side and 5 No. 8 bars on the tension side. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 6.102 in. (depth of concrete stress block)Cc = 201.8 kips (compressive force in concrete)Cs = 35.2 kips (compressive force in steel)T = 237.0 kips (tensile force in steel)
A torque of TC = 890 N·m is applied to the aluminum [G = 72…
A torque of TC = 890 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 76 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.67 m and L2 = 0.35 m.
A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in…
A beam has dimensions of b = 14 in., h = 28 in., d’ = 2.5 in., and d = 25.5 in. It is reinforced with 2 No. 5 bars on the compression side and 4 No. 8 bars on the tension side. The concrete strength is 2,800 psi, and the yield strength of the reinforcement is 60,000 psi. For the results given below, determine the strength Mn for this beam.a = 4.828 in. (depth of concrete stress block)Cc = 159.4 kips (compressive force in concrete)Cs = 30.2 kips (compressive force in steel)T = 189.6 kips (tensile force in steel)
A torque of TC = 910 N·m is applied to the aluminum [G = 71…
A torque of TC = 910 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 80 mm, and segment (2) has a diameter of 41 mm. Determine the angle of twist at C. Let L1 = 0.52 m and L2 = 0.37 m.
You are considering a beam design that has dimensions of b =…
You are considering a beam design that has dimensions of b = 18 in., h = 26 in., and d = 23.5 in. The beam is singly reinforced with all of the reinforcement in a single row. The concrete strength is 8,500 psi, and the yield strength of the reinforcement is 60,000 psi. What cross-sectional area of reinforcement is needed to achieve a strain in the reinforcement of 0.0075?
A classmate has suggested a beam design that has dimensions…
A classmate has suggested a beam design that has dimensions of b = 16 in., h = 30 in., and d = 27.5 in. and is reinforced with 4 No. 7 bars. Assuming a cover of 1.5 in. and a stirrup diameter of 0.5 in., does the reinforcement fit within a single row as suggested?
A beam has dimensions of b = 16 in., h = 22 in., and d = 19….
A beam has dimensions of b = 16 in., h = 22 in., and d = 19.5 in. and is reinforced with 5 No. 7 bars. The concrete strength is 7,600 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.
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 10 No. 8 bars at a depth of 14 in. The top row contains 6 No. 6 bars at a depth of 8.5 in. Determine the effective (centroidal) depth, d, of the steel.
A force of P = 24 N is applied to a lever at the end of a co…
A force of P = 24 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 79,900 mm4 and a shear modulus of 1.1 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 0.6 GPa. Determine the torque produced in sleeve (1). Let a = b = 230 mm.
A 77-lb child and a 38-lb cardboard box are on an oak beam….
A 77-lb child and a 38-lb cardboard box are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 24 in., b = 32 in., and c = 50 in.