A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The elastic modulus of the concrete and steel are, respectively, Ec=27,800 MPa and E,- 200,000 MPa. Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in your design.
A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The elastic modulus of the concrete and steel are, respectively, Ec=27,800 MPa and E,- 200,000 MPa. Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in your design.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm
and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The
elastic modulus of the concrete and steel are, respectively, Ec =27,800 MPa and Es= 200,000 MPa.
Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and
compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in
your design.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cb17dbc-dbf4-48fc-a026-740d1826794c%2Fc6514c54-b202-411c-b4d9-f9d61a605985%2F8fjoopg_processed.png&w=3840&q=75)
Transcribed Image Text:A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm
and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The
elastic modulus of the concrete and steel are, respectively, Ec =27,800 MPa and Es= 200,000 MPa.
Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and
compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in
your design.
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