A simply supported beam is carrying a varying load and a uniform load as shown inthe figure. If the beam properties are given below, what is the final stress at top of thebeam section at a distance 2.84m from the right support where the total losses of theprestressing force is 19% (MPa)Properties:Beam width = 229 mm%3DBeam height = 437 mmVarying load = 9.46 kN/m%3DUniform load = 4.81 kN/m%3Dx 3.27 mmy = 6.17 mmPrestressing force 325 kN%3Deccentricity = 116 mm%3DVL (kN/m)UL (kN/m)

Moment at 2.84m from Right Support = 35.85Kn-m Moment of Inertia = Bd3/12 = 1.59 x 109 Stress at top…

operties: eam width = 229 mm %3D eam height = 437 mm %3D arying load 9.46 kN/m niform load = 4.81 kN/m %3D %3D = 3.27 mm =6.17 mm restressing force 325 kN ccentricity 116 mm %3D %3D VL (kN/m) UL (kN/m)

operties: eam width = 229 mm %3D eam height = 437 mm %3D arying load 9.46 kN/m niform load = 4.81 kN/m %3D %3D = 3.27 mm =6.17 mm restressing force 325 kN ccentricity 116 mm %3D %3D VL (kN/m) UL (kN/m)

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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Question

A simply supported beam is carrying a varying load and a uniform load as shown in
the figure. If the beam properties are given below, what is the final stress at top of the
beam section at a distance 2.84m from the right support where the total losses of the
prestressing force is 19% (MPa)
Properties:
Beam width = 229 mm
%3D
Beam height = 437 mm
Varying load = 9.46 kN/m
%3D
Uniform load = 4.81 kN/m
%3D
x 3.27 mm
y = 6.17 mm
Prestressing force 325 kN
%3D
eccentricity = 116 mm
%3D
VL (kN/m)
UL (kN/m)

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