200 kN 40 kN/m z (m) 1 2.5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Project 1:
Simply supported beams are usually used in structures due to their high stability and performance in resisting
shear stress and bending moment, they are applied in variety of applications such as steel-frame used for
advertisement cars’ chassis and bridges. Your role in a structure design company is to analyze and design the
bridge based on simply supported beam theory. Your manager asked you to calculate the distribution of shear
force, bending moment and stress due to bending for bridge modeled as simply supported beam shown in the
Figure.1, this task is best achieved by performing the following required steps:
200 kN
40 kN/m
I (m)
2.5
5
Figure.1: Simply supported beam
Transcribed Image Text:Project 1: Simply supported beams are usually used in structures due to their high stability and performance in resisting shear stress and bending moment, they are applied in variety of applications such as steel-frame used for advertisement cars’ chassis and bridges. Your role in a structure design company is to analyze and design the bridge based on simply supported beam theory. Your manager asked you to calculate the distribution of shear force, bending moment and stress due to bending for bridge modeled as simply supported beam shown in the Figure.1, this task is best achieved by performing the following required steps: 200 kN 40 kN/m I (m) 2.5 5 Figure.1: Simply supported beam
Your tasks are as follows:
1- Construct free-body diagram (FBD) to show the reactions forces and moments, equivalent force of the
distributed load.
2- Show FBD for each required section/cutting, include the internal forces and moments.
3- Write the distribution functions of the shear force and bending moment for each cut in the beam.
4- By hand construct diagrams for the shear force and bending moment distributions.
5- Determine the values and positions of maximum shear force and bending moment.
6- Using appropriate software such as Solidworks and SkyCiv produce a model for the simply supported beam
and vcrify your rcsults from Part.4.
7- Calculate the maximum stress due to bending moment for a rectangular cross section having a width of 10 mm
and height of 40 mm.
Transcribed Image Text:Your tasks are as follows: 1- Construct free-body diagram (FBD) to show the reactions forces and moments, equivalent force of the distributed load. 2- Show FBD for each required section/cutting, include the internal forces and moments. 3- Write the distribution functions of the shear force and bending moment for each cut in the beam. 4- By hand construct diagrams for the shear force and bending moment distributions. 5- Determine the values and positions of maximum shear force and bending moment. 6- Using appropriate software such as Solidworks and SkyCiv produce a model for the simply supported beam and vcrify your rcsults from Part.4. 7- Calculate the maximum stress due to bending moment for a rectangular cross section having a width of 10 mm and height of 40 mm.
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