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5. A singly reinforced beam has a width b = 16 in., a height h = 20 in., and an effective depth d = 18.5 in. The beam is reinforced with six No. 8 bars. The beam is subjected to a positive bending moment, causing the bottom of the beam to experience tension. (65pts total) The material properties are as follows: f = 5 ksi, fy = 60 ksi d 888 Six no. 8 bars (1) Find the bending moment [kips-in] that can cause tension cracks. Use the following parameters regarding the equivalent transformed section. Do not consider load and resistance factors. (15pts) - Neutral axis: 10.7 in. from the top face of beam - Moment of inertia: 12,550 in² around the neutral axis - Modulus of rupture: fƒ„ = 7.5√ƒ! [psi] (i.e., the concrete tensile stress for crack initiation) (2) Find the service moment strength [kips-in]. The allowable stress of concrete and steel is 0.45f, and 0.5fy, respectively. Do not consider load and resistance factors. (15pts) (3) Calculate the nominal moment strength M, and the design moment strength &M, (i.e., the strength limit state) [kips-in]. (20pts) h

5. A singly reinforced beam has a width b = 16 in., a height h = 20 in., and an effective depth d = 18.5 in. The beam is reinforced with six No. 8 bars. The beam is subjected to a positive bending moment, causing the bottom of the beam to experience tension. (65pts total) The material properties are as follows: f = 5 ksi, fy = 60 ksi d 888 Six no. 8 bars (1) Find the bending moment [kips-in] that can cause tension cracks. Use the following parameters regarding the equivalent transformed section. Do not consider load and resistance factors. (15pts) - Neutral axis: 10.7 in. from the top face of beam - Moment of inertia: 12,550 in² around the neutral axis - Modulus of rupture: fƒ„ = 7.5√ƒ! [psi] (i.e., the concrete tensile stress for crack initiation) (2) Find the service moment strength [kips-in]. The allowable stress of concrete and steel is 0.45f, and 0.5fy, respectively. Do not consider load and resistance factors. (15pts) (3) Calculate the nominal moment strength M, and the design moment strength &M, (i.e., the strength limit state) [kips-in]. (20pts) h

Steel Design (Activate Learning with these NEW titles from Engineering!)
Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter5: Beams
Section: Chapter Questions
Problem 5.2.1P
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5. A singly reinforced beam has a width b = 16 in., a height h = 20 in., and an effective depth d = 18.5 in. The beam is reinforced with six No. 8 bars. The beam is subjected to a positive bending moment, causing the bottom of the beam to experience tension. (65pts total) The material properties are as follows: f = 5 ksi, fy = 60 ksi d 888 Six no. 8 bars (1) Find the bending moment [kips-in] that can cause tension cracks. Use the following parameters regarding the equivalent transformed section. Do not consider load and resistance factors. (15pts) - Neutral axis: 10.7 in. from the top face of beam - Moment of inertia: 12,550 in² around the neutral axis - Modulus of rupture: fƒ„ = 7.5√ƒ! [psi] (i.e., the concrete tensile stress for crack initiation) (2) Find the service moment strength [kips-in]. The allowable stress of concrete and steel is 0.45f, and 0.5fy, respectively. Do not consider load and resistance factors. (15pts) (3) Calculate the nominal moment strength M, and the design moment strength &M, (i.e., the strength limit state) [kips-in]. (20pts) h
Transcribed Image Text:5. A singly reinforced beam has a width b = 16 in., a height h = 20 in., and an effective depth d = 18.5 in. The beam is reinforced with six No. 8 bars. The beam is subjected to a positive bending moment, causing the bottom of the beam to experience tension. (65pts total) The material properties are as follows: f = 5 ksi, fy = 60 ksi d 888 Six no. 8 bars (1) Find the bending moment [kips-in] that can cause tension cracks. Use the following parameters regarding the equivalent transformed section. Do not consider load and resistance factors. (15pts) - Neutral axis: 10.7 in. from the top face of beam - Moment of inertia: 12,550 in² around the neutral axis - Modulus of rupture: fƒ„ = 7.5√ƒ! [psi] (i.e., the concrete tensile stress for crack initiation) (2) Find the service moment strength [kips-in]. The allowable stress of concrete and steel is 0.45f, and 0.5fy, respectively. Do not consider load and resistance factors. (15pts) (3) Calculate the nominal moment strength M, and the design moment strength &M, (i.e., the strength limit state) [kips-in]. (20pts) h
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