An I shaped prestressed concrete beam spanning30 m has an effective prestress (just after transfer)of 3000 kN at an eccentricity of 75 mm at midspancross-section. Calculate the stresses at midspanin the extreme fibres. Given the following data :Area of cross-section = 0.42 m2Moment of inertia = 0.1433 m4Height of the beam = 1600 mm%3DC.G. of the section from the bottom = 890 mm= 0.202 m3top= 0.161 m3ZbottomDensity of concrete = 25 kN/m3%3D

Answered: Image /qna-images/answer/0f839832-54bd-453b-9578-953252f61d91.jpg

Answered: An I shaped prestressed concrete beam…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A prestressed rectangular beam 0.50m x 0.75m has a simple span of 10m and is loaded with a uniform load of 45 kN/m including its own weight. The prestressing tendon is 0.225 m from the bottom and produces an effective prestress of 1600 kN. Compute the fiber stress distribution in the concrete at midspan due to prestress eccentricity.
A 5-m simply-supported beam supports a uniformly distributed load equal to 40 kN/m applied throughout the beam. What is the maximum flexural stress if the beam has a triangular cross-section with b = 300 mm and h = 600 mm? (in MPa)
A 360 mm thick footing slab supports a 300 mm thick wall carrying uniform service dead load of 264.7 kN/m and service live load of 111 kN/m. The base of the wall footing slab is 1.1 m from the ground surface. Use 16 mm diameter for main bars. Design parameters are as follows: γsoil = 18 kN/m3, γconc = 24 kN/m3, qa = 233.2 kPa, f’c = 27 MPa and fy = 414 MPa. Calculate the allowable nominal beam shear stress in MPa. Express your answer in 3 decimal places.
A prestressed concrete beam 200 mm wide and 300 mm deep, is used over an effective span of 6m to support an imposed load of 4 kN/m. The density of concrete is 24kN/m3. At the quarter span section of the beam, find the magnitude of: a) the concentric prestressing force necessary for zero fiber-stress at the soffit when the beam is fully loaded.b) the eccentric prestressing force located 100 mm from the bottom of the beam which would nullify the bottom fiber stress due to loading.
The building slab is subjected to four parallel column loadings. The resultant force acts through point (12 m, 10 m). Suppose that F3 = 15 kN and F4 = 7 kN . a) Determine the magnitude of F1. b) Determine the magnitude of F2. Image is also provided.
A building is constructed on a ground that has the saturated unit weight of soil and water 23 kN/m3 and 9.8 kN/m3, respectively. (The ground water table is located at the ground surface). In this ground condition, the coefficient of lateral earth pressure at rest (K0) is known to be 0.5. At the depth of 2.0m from the surface, the vertical and horizontal induced stresses by the building are known to be 12 kPa and 7 kPa, respectively. Determine the 1) total and 2) effective horizontal stresses at the depth of 2.0m.
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Determine the prestressing force required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f =11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm A=103125 mm2 Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam.
The simple beam carries a concentrated load P = 15kN. Dimension a and b are 2.5m and 1.2m. respectively. What is the required section modulus of the beam, in mm^3, if the stress is 120Mpa?
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