A post-tensioned concrete T beam has a flange width of 508 mm and is 76 mm thick. The web is 127 mm wide and 533 mm deep below the flange to carry a uniform LL of 14.60 KN/m in addition to its dead weight. The beam has a simple span of 15 m. Ftc = 19.30 MPa Fsc = 22.10 MPa Ftt = -1.00 MPa Fst=1.40 MPa. Assume 15% losses and unit weight of concrete to be 23.56 KN/cu m. Draw Magnel's Diagram of your beam at midspan and choose suitable eccentricity for the cables. Check the stresses at transfer and working.

A post-tensioned concrete T beam has a flange width of 508 mm and is 76 mm thick. The web is 127 mm wide and 533 mm deep below the flange to carry a uniform LL of 14.60 KN/m in addition to its dead weight. The beam has a simple span of 15 m. Ftc = 19.30 MPa Fsc = 22.10 MPa Ftt = -1.00 MPa Fst=1.40 MPa. Assume 15% losses and unit weight of concrete to be 23.56 KN/cu m. Draw Magnel's Diagram of your beam at midspan and choose suitable eccentricity for the cables. Check the stresses at transfer and working.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A rectangular concrete beam 297 mm wide and 465 mm deep is simply supported over a span of 9.42 m. the beam is reinforced with straight tendons situated 59 mm above the bottom of the beam under a prestressing force of 558 kN. The beam is carrying a concentrated load 52 kN at midspan, a live load of 15.67 kN/m³ and a dead load of 20.29 kN/m³ excluding its own weight. Concrete weighs 21.58 kN/m³ with modulus of elasticity Ec=15.281.97 MPa. Assuming tension concrete does not crack. what is the midspan deflection due to the given loads. (Include the sign if it is negative) Note: Avoid rounding off values in the course of solution proper as much as possible. ROUND OFF ONLY AT THE FINAL ANSWER.
A uniform T-section beam is 100 mm wide and 150 mm deep with a flange thickness of 25 mm and a web thickness of 12 mm. If the limiting bending stresses for the material of the beam are 80 MN/m2 in compression and 160 MN/m2 in tension, compute the second moment of area. 110.4 mm 111.4 mm 109.4 mm 108.4 mm
A rectangular concrete beam 278 mm wide and 471 mm deep is simply supported over a span of 11.39 m. the beam is reinforced with straight tendons situated 53 mm above the bottom of the beam under a prestressing force of 537 kN. The beam is carrying a concentrated load 87 kN at midspan, a live load of 15.36 kN/m3 and a dead load of 24.91 kN/m3 excluding its own weight. Concrete weighs 19.82 kN/m3 with modulus of elasticity Ec=20,358.51 MPa. Assuming tension concrete does not crack, what is the midspan deflection due to the given loads. (Include the sign if it is negative) Please avoid rounding off values during the course of solution proper as much as possible. Always write your answer in 4 decimal places
A beam having a span of 4m is subjected to a maximum shear of 20 kN. It has a triangular cross - section having a base width of 140 mm and an altitude of 300 mm. Which of the following gives the maximum shearing stress developed on the beam? a. 1.43 MPa b. 1.80 MPa c. 1.62 MPa d. 1.78 MPa
A rectangular beam of length 702mm has a width of 132mm and a depth of301mm. Compression steel bars are placed at a distance 98 mm from the extreme concrete compressivefiber. The beam supports service dead loads of dead load (16 KN/m) and live load (24 KN/m). Reinforced with 4 25mm tension steel bars and 4 12mm tension steel bars f′c = 42 MPafy = 519 MPa 1. Solve for the height of the neutral axis measured from the extreme compression fiber.2. Solve for the design moment.3. Solve for the strength reduction factor.
A rectangular concrete beam 262 mm wide and 388 mm deep is simply supported over a span of 9.76 m. the beam is reinforced with straight tendons situated 56 mm above the bottom of the beam under a prestressing force of 671 kN. The beam is carrying a concentrated load 57 kN at midspan, a live load of 19.5 kN/m³ and a dead load of 23.1 kN/m³ excluding its own weight. Concrete weighs 18.61 kN/m3 with modulus of elasticity Ec-15,679.2 MPa. Assuming tension concrete does not crack. what is the midspan deflection due to the given loads. (Include the sign if it is negative)
A cantilever beam has a span of 4 m and carries a uniformly distributed load throughout its span. bf = 0.210 m Sx = 0.002077 m3 d = 0.533 m rt = 0.053 m tf = 0.016 m Fy = 248 MPa a. Compute the allowable bending stress. b. Compute the maximum uniform load that can be carried by the beam.
A triangular wooden beam width 150 mm base and 300 mm height carries two concentrated load of 20 kN at third points. If the simple span of the beam is 6 m, 1. Compute the maximum shearing stress of the beam. a. 0.58 MPa b. 1.33 MPa c. 0.48 MPa d. 0.86 MPa 2. Compute the bending stress of the beam. a. 56.33 MPa b. 71.11 MPa c. 78.48 MPa d. 45.78 MPa
A simply supported rectangular beam of length 6.45m has a width of 437.5 and an effective depth of 692.5. The beam is to be reinforced using 12 mm bars. The beam supports service dead loads of 31 kN/m and 39.5kN/m., respectively. the fc' is 28MPa, fy is 420MPa and Wu is 89.9kN/m. 1. what is the ultimate moment capacity of the beam? 2. what is the height of the equivalent stress block? 3. Determine the number of bars required for this beam
A rectangular beam has the following properties: b = 300 mm, d = 350 mm, tension bars As = 4-28mmØ,compression bars As’ = 2-28 mmØ, d’ = 60 mm. Fc’ = 30 MPa and fy = 345 MPa Determine the design strength of the beam.a. 233.155 kN.m. c. 636.511 kN.m.b. 332.511 kN.m. d. 755.321 kN.m. Calculate the ultimate axial load capacity of a round spiral column having a diameter of 400 mm reinforced with 6-20 mm Ø bars having fc’ = 24 MPa and fy = 276 MPa a. 1941.401 kN c. 1841.321 kNb. 9141.401 kN d. 8141.321 kN Please answer asap.
The cantilever beam above is made up of concrete with E = 70 MPa, refer to the table below for the properties and loads for the beam: Given: b(mm) = 250 h(mm) = 400 w(kN/m) = 15 Mb(kN-m) = 45 Using area moment method, determine the following: 1. Vertical reaction at A, RA. 2. Moment reaction at A, MA. 3. Flexural rigidity of the beam in N-mm^2 4. Rotation at B, in degrees. 5. Rotation at C. in degrees. 6. Deflection at B in mm. 7. Maximum deflection of the beam in mm. 8. If a concentrated load will be placed at B to remove the deflection at C, determine the magnitude of this load in kN.
A prismatic beam having 250 mm x 500 m is reinforced for flexure at the bottom with 4-416 mm with an effective depth of 420 m. It is simply supported over a span of 6 m and designed to support uniformly distributed load over the entire span. Concrete weighs 24 kn/m3, Concrete strength f'c= 24 MPa and rebar strength fy=280 MPa. 1. Determine the resulting depth of the uniform rectangular stress block in a when the bean section reaches tlimate stage. (A to D) 2. Determine the nomina moment strength in kN/m of the beam section as per NSCP 2015. ( E to H) 3. Determine the factored uniform load in kN/m the beam can sustain in addition to its factored self weight. (I to L) A 44.15 B. 78 85 c. 57.34 D, 98.56 E. 195.66 F. 89.60 G.133.91 H. 110.15 I 16.31 J. 39.16 K. 26.16 L. 20.51