Fixed/built-in or encastré beams are usually used in structure due to their high stability and performance inresisting shear stress and bending moment. Your role in building and construction company is to analyse theshear force and bending moment in order to provide better design of such beams under variety of loads. Yourmanager asked you to provide a complete analysis as well as to deliver a report including your designrecommendations.100 kN/m150 kNI (m)107Figure.3: Encastré beam under variety of loadsYour tasks are as follows:1- Construct free-body diagram (FBD) to show the reaction forces and moments, equivalent force of thedistribution load., knowing that the upward reaction force on left side is 250 kN and the reaction momentis clockwise with a value of 1500 kN. m.2- Determine the required region of sections (i.e., sections' cutting) and show the assumed internal shear forceand bending moment on each cut in the beam.

Soln⇒∑fy = ⇒ 250-500+150+R1=0 R1=100 KN∑ M0=0 ⇒(500×7.5)-(150×3) - 1500 - m -…

Fixed/built-in or encastré beams are usually used in structure due to their high stability and performance in resisting shear stress and bending moment. Your role in building and construction company is to analyse the shear force and bending moment in order to provide better design of such beams under variety of loads. Your manager asked you to provide a complete analysis as well as to deliver a report including your design recommendations. 100 kN/m 150 kN I (m) 5 10 Figure.3: Encastré beam under variety of loads Your tasks are as follows: 1- Construct free-body diagram (FBD) to show the reaction forces and moments, equivalent force of the distribution load., knowing that the upward reaction force on left side is 250 kN and the reaction moment is clockwise with a value of 1500 kN.m. 2- Determine the required region of sections (i.e., sections' cutting) and show the assumed internal shear force and bending moment on each cut in the beam.

Fixed/built-in or encastré beams are usually used in structure due to their high stability and performance in resisting shear stress and bending moment. Your role in building and construction company is to analyse the shear force and bending moment in order to provide better design of such beams under variety of loads. Your manager asked you to provide a complete analysis as well as to deliver a report including your design recommendations. 100 kN/m 150 kN I (m) 5 10 Figure.3: Encastré beam under variety of loads Your tasks are as follows: 1- Construct free-body diagram (FBD) to show the reaction forces and moments, equivalent force of the distribution load., knowing that the upward reaction force on left side is 250 kN and the reaction moment is clockwise with a value of 1500 kN.m. 2- Determine the required region of sections (i.e., sections' cutting) and show the assumed internal shear force and bending moment on each cut in the 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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Question

Fixed/built-in or encastré beams are usually used in structure due to their high stability and performance in
resisting shear stress and bending moment. Your role in building and construction company is to analyse the
shear force and bending moment in order to provide better design of such beams under variety of loads. Your
manager asked you to provide a complete analysis as well as to deliver a report including your design
recommendations.
100 kN/m
150 kN
I (m)
10
7
Figure.3: Encastré beam under variety of loads
Your tasks are as follows:
1- Construct free-body diagram (FBD) to show the reaction forces and moments, equivalent force of the
distribution load., knowing that the upward reaction force on left side is 250 kN and the reaction moment
is clockwise with a value of 1500 kN. m.
2- Determine the required region of sections (i.e., sections' cutting) and show the assumed internal shear force
and bending moment on each cut in the beam.

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