SlideShare a Scribd company logo
Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad
(868)-2256319 / (868)-3353693
Problem1.)
SECEMC Solutions Ltd., Could you please find the maximum stress under the existing load
Solution:
a.) Establish your coordinate axis: (You can establish the directions of the axis which
is more convenient for you, we establish up/right/clockwise as positive
+ +
1 m
6 kN/m
3 m
2 m 15 kN
150 mm
250 mm
A B
HA
VA VB
15 kN
3 m
2 m 1 m
6 kN/m
Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad
(868)-2256319 / (868)-3353693
b.) Reactions:
(1) Σ H = 0, HA= 0
(2) Σ V = VA + VB – 15kN -18kN = 0
(3) Σ MA =0, 15 kN x 2m + 18 kN x 1.5m – 3m x VB =0 VB = 19 kN
From Equation (2) VA + 19 kN - 15kN -18kN = 0 VA = 14 kN
c.) Shear diagram
14 kN
2kN
d.) Moment Diagram
Maximum moment = Area of shear diagram= (14kN+2kN)x 2/2= 16kN-m
6kN/m x 3 m= 18 kN
+
+
+
14-6x
2 m
1 m
13+6x
13kN
+
- 19 kN
A
B
Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad
(868)-2256319 / (868)-3353693
e.) Maximum stress under the existing load.
The maximum stress will be found, where the two loads are applied----Maximum moment
 We know: σ =M (Moment)/S (section modulus)
 It is important to unify the units 1 m = 1000 mm = 103
mm
 Section Modulus = I (moment of inertia)/c (Distance to neutral axis)
 I=bxh3
/12 I=150x2503
/12 = 195,312,500.00 mm 4
 S = 195,312,500.00 mm4
/125 mm = 1,562,500 mm3
 maximum stress = σ = 16kNx10 3
mm/1,562,500 mm3
= =0.01024 kN/mm2
 Maximum stress σ = 10.24 MPa
b=150mm
h=250mm
c=125 mm

More Related Content

What's hot

22564 emd 2.0 direct and bending
22564 emd 2.0 direct and bending22564 emd 2.0 direct and bending
22564 emd 2.0 direct and bending
GovernmentPolytechni7
 
Chap5 sec5.2
Chap5 sec5.2Chap5 sec5.2
Diseño de Escalera
Diseño de EscaleraDiseño de Escalera
Diseño de Escalera
Joel López
 
Ejerciciooo3
Ejerciciooo3Ejerciciooo3
Ejerciciooo3
DanielRojas118002
 
Typs of simple machines
Typs of simple machinesTyps of simple machines
Typs of simple machines
Vilas Nikam
 
Systolic array
Systolic arraySystolic array
Systolic array
Syed Zaid Irshad
 
Kunci jawaban fisika
Kunci jawaban fisikaKunci jawaban fisika
Kunci jawaban fisika
Septian Muna Barakati
 
SJUT/Mat210/Regression/Linear 2013-14S2
SJUT/Mat210/Regression/Linear 2013-14S2SJUT/Mat210/Regression/Linear 2013-14S2
SJUT/Mat210/Regression/Linear 2013-14S2
John Ham
 
8.1.6example2
8.1.6example28.1.6example2
8.1.6example2
Talia Carbis
 
Deber 9
Deber 9Deber 9
METODO DE HARDY CROOS EN VIGAS
METODO DE HARDY  CROOS EN VIGAS METODO DE HARDY  CROOS EN VIGAS
METODO DE HARDY CROOS EN VIGAS
Yoner Chávez
 
Concreto armado
Concreto armadoConcreto armado
Concreto armado
Leonidas Gil Arroyo
 
Deber corte
Deber corteDeber corte
Deber corte
AldoChandiAngulo
 
Design of staircase_practical_example
Design of staircase_practical_exampleDesign of staircase_practical_example
Design of staircase_practical_example
Pralhad Kore
 
Buisness Statistical Formula ppt
Buisness Statistical Formula pptBuisness Statistical Formula ppt
Buisness Statistical Formula ppt
Sahil Gautam
 
Sriram1000991882-Report-FractureMechanics
Sriram1000991882-Report-FractureMechanicsSriram1000991882-Report-FractureMechanics
Sriram1000991882-Report-FractureMechanics
Sriram Sambasivam
 
Matlab tutorial2
Matlab tutorial2Matlab tutorial2
Matlab tutorial2
Washo Ramos
 
Trig overview
Trig overviewTrig overview
Trig overview
Julian Phares
 
Fizika zadaća
Fizika zadaćaFizika zadaća
Fizika zadaća
Siniša Grbić
 

What's hot (19)

22564 emd 2.0 direct and bending
22564 emd 2.0 direct and bending22564 emd 2.0 direct and bending
22564 emd 2.0 direct and bending
 
Chap5 sec5.2
Chap5 sec5.2Chap5 sec5.2
Chap5 sec5.2
 
Diseño de Escalera
Diseño de EscaleraDiseño de Escalera
Diseño de Escalera
 
Ejerciciooo3
Ejerciciooo3Ejerciciooo3
Ejerciciooo3
 
Typs of simple machines
Typs of simple machinesTyps of simple machines
Typs of simple machines
 
Systolic array
Systolic arraySystolic array
Systolic array
 
Kunci jawaban fisika
Kunci jawaban fisikaKunci jawaban fisika
Kunci jawaban fisika
 
SJUT/Mat210/Regression/Linear 2013-14S2
SJUT/Mat210/Regression/Linear 2013-14S2SJUT/Mat210/Regression/Linear 2013-14S2
SJUT/Mat210/Regression/Linear 2013-14S2
 
8.1.6example2
8.1.6example28.1.6example2
8.1.6example2
 
Deber 9
Deber 9Deber 9
Deber 9
 
METODO DE HARDY CROOS EN VIGAS
METODO DE HARDY  CROOS EN VIGAS METODO DE HARDY  CROOS EN VIGAS
METODO DE HARDY CROOS EN VIGAS
 
Concreto armado
Concreto armadoConcreto armado
Concreto armado
 
Deber corte
Deber corteDeber corte
Deber corte
 
Design of staircase_practical_example
Design of staircase_practical_exampleDesign of staircase_practical_example
Design of staircase_practical_example
 
Buisness Statistical Formula ppt
Buisness Statistical Formula pptBuisness Statistical Formula ppt
Buisness Statistical Formula ppt
 
Sriram1000991882-Report-FractureMechanics
Sriram1000991882-Report-FractureMechanicsSriram1000991882-Report-FractureMechanics
Sriram1000991882-Report-FractureMechanics
 
Matlab tutorial2
Matlab tutorial2Matlab tutorial2
Matlab tutorial2
 
Trig overview
Trig overviewTrig overview
Trig overview
 
Fizika zadaća
Fizika zadaćaFizika zadaća
Fizika zadaća
 

Similar to Problema 1

Puentes
PuentesPuentes
Diseno y-calculo-de-puentes
Diseno y-calculo-de-puentesDiseno y-calculo-de-puentes
Diseno y-calculo-de-puentes
carlos
 
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET USING MOHR'S CIRCLE
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET  USING MOHR'S CIRCLESTRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET  USING MOHR'S CIRCLE
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET USING MOHR'S CIRCLE
Wahid Dino Samo
 
Diseño y calculo de un puente de placa y vigas
Diseño y calculo de un puente de placa y vigasDiseño y calculo de un puente de placa y vigas
Diseño y calculo de un puente de placa y vigas
David Chavez Huerto
 
'Documents.mx dynamics solucionario-riley.pdf'
'Documents.mx dynamics solucionario-riley.pdf''Documents.mx dynamics solucionario-riley.pdf'
'Documents.mx dynamics solucionario-riley.pdf'
jhameschiqui
 
Problemas esfuerzos en vigas
Problemas esfuerzos en vigasProblemas esfuerzos en vigas
Problemas esfuerzos en vigas
José Grimán Morales
 
Muro de contencion en voladizo
Muro de contencion en voladizoMuro de contencion en voladizo
Muro de contencion en voladizo
RobertVasquez46
 
Examples on stress distribution
Examples on stress distributionExamples on stress distribution
Examples on stress distribution
Malika khalil
 
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOFCASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
Rituraj Dhar
 
Power screw application
Power screw applicationPower screw application
Power screw application
alsaid fathy
 
Problemas deflexiones en vigas
Problemas deflexiones en vigasProblemas deflexiones en vigas
Problemas deflexiones en vigas
José Grimán Morales
 
Muro contension raul1
Muro contension raul1Muro contension raul1
Muro contension raul1
Diego Rodriguez
 
Car-Jack.pptx
Car-Jack.pptxCar-Jack.pptx
Car-Jack.pptx
AhmadQadi1
 
psad 1.pdf
psad 1.pdfpsad 1.pdf
Precast driven pile 450 x450
Precast driven pile 450 x450Precast driven pile 450 x450
Precast driven pile 450 x450
Priodeep Chowdhury
 
Mid termfall10
Mid termfall10Mid termfall10
Mid termfall10
Mahmoud Youssef Abido
 
Design and analysis of school building
Design and analysis of school buildingDesign and analysis of school building
Design and analysis of school building
Raghav Sankar
 
'12 ME 341 chapter 5
                       '12    ME 341 chapter 5                       '12    ME 341 chapter 5
'12 ME 341 chapter 5
Azim Khan
 
Shear Force
Shear ForceShear Force
Metrado de una_vivienda
Metrado de una_viviendaMetrado de una_vivienda
Metrado de una_vivienda
ErikaFerro2
 

Similar to Problema 1 (20)

Puentes
PuentesPuentes
Puentes
 
Diseno y-calculo-de-puentes
Diseno y-calculo-de-puentesDiseno y-calculo-de-puentes
Diseno y-calculo-de-puentes
 
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET USING MOHR'S CIRCLE
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET  USING MOHR'S CIRCLESTRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET  USING MOHR'S CIRCLE
STRESS ANALYSIS OF TRACTOR’S FRONT-END BUCKET USING MOHR'S CIRCLE
 
Diseño y calculo de un puente de placa y vigas
Diseño y calculo de un puente de placa y vigasDiseño y calculo de un puente de placa y vigas
Diseño y calculo de un puente de placa y vigas
 
'Documents.mx dynamics solucionario-riley.pdf'
'Documents.mx dynamics solucionario-riley.pdf''Documents.mx dynamics solucionario-riley.pdf'
'Documents.mx dynamics solucionario-riley.pdf'
 
Problemas esfuerzos en vigas
Problemas esfuerzos en vigasProblemas esfuerzos en vigas
Problemas esfuerzos en vigas
 
Muro de contencion en voladizo
Muro de contencion en voladizoMuro de contencion en voladizo
Muro de contencion en voladizo
 
Examples on stress distribution
Examples on stress distributionExamples on stress distribution
Examples on stress distribution
 
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOFCASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
CASE STUDY - STRUCTURAL DESIGN FOR MODERN INSULATOR'S SHUTTLE KILN ROOF
 
Power screw application
Power screw applicationPower screw application
Power screw application
 
Problemas deflexiones en vigas
Problemas deflexiones en vigasProblemas deflexiones en vigas
Problemas deflexiones en vigas
 
Muro contension raul1
Muro contension raul1Muro contension raul1
Muro contension raul1
 
Car-Jack.pptx
Car-Jack.pptxCar-Jack.pptx
Car-Jack.pptx
 
psad 1.pdf
psad 1.pdfpsad 1.pdf
psad 1.pdf
 
Precast driven pile 450 x450
Precast driven pile 450 x450Precast driven pile 450 x450
Precast driven pile 450 x450
 
Mid termfall10
Mid termfall10Mid termfall10
Mid termfall10
 
Design and analysis of school building
Design and analysis of school buildingDesign and analysis of school building
Design and analysis of school building
 
'12 ME 341 chapter 5
                       '12    ME 341 chapter 5                       '12    ME 341 chapter 5
'12 ME 341 chapter 5
 
Shear Force
Shear ForceShear Force
Shear Force
 
Metrado de una_vivienda
Metrado de una_viviendaMetrado de una_vivienda
Metrado de una_vivienda
 

Recently uploaded

Mechatronics material . Mechanical engineering
Mechatronics material . Mechanical engineeringMechatronics material . Mechanical engineering
Mechatronics material . Mechanical engineering
sachin chaurasia
 
Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...
Prakhyath Rai
 
Introduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.pptIntroduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.ppt
Dwarkadas J Sanghvi College of Engineering
 
Blood finder application project report (1).pdf
Blood finder application project report (1).pdfBlood finder application project report (1).pdf
Blood finder application project report (1).pdf
Kamal Acharya
 
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
MadhavJungKarki
 
Supermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdfSupermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdf
Kamal Acharya
 
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
nedcocy
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
UReason
 
Transformers design and coooling methods
Transformers design and coooling methodsTransformers design and coooling methods
Transformers design and coooling methods
Roger Rozario
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
Atif Razi
 
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
shadow0702a
 
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENTNATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
Addu25809
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
PreethaV16
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
Prakhyath Rai
 
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Transcat
 
smart pill dispenser is designed to improve medication adherence and safety f...
smart pill dispenser is designed to improve medication adherence and safety f...smart pill dispenser is designed to improve medication adherence and safety f...
smart pill dispenser is designed to improve medication adherence and safety f...
um7474492
 
一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理
uqyfuc
 
Generative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdfGenerative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdf
mahaffeycheryld
 
ITSM Integration with MuleSoft.pptx
ITSM  Integration with MuleSoft.pptxITSM  Integration with MuleSoft.pptx
ITSM Integration with MuleSoft.pptx
VANDANAMOHANGOUDA
 
Null Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAMNull Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAM
Divyanshu
 

Recently uploaded (20)

Mechatronics material . Mechanical engineering
Mechatronics material . Mechanical engineeringMechatronics material . Mechanical engineering
Mechatronics material . Mechanical engineering
 
Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...Software Engineering and Project Management - Software Testing + Agile Method...
Software Engineering and Project Management - Software Testing + Agile Method...
 
Introduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.pptIntroduction to Computer Networks & OSI MODEL.ppt
Introduction to Computer Networks & OSI MODEL.ppt
 
Blood finder application project report (1).pdf
Blood finder application project report (1).pdfBlood finder application project report (1).pdf
Blood finder application project report (1).pdf
 
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
1FIDIC-CONSTRUCTION-CONTRACT-2ND-ED-2017-RED-BOOK.pdf
 
Supermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdfSupermarket Management System Project Report.pdf
Supermarket Management System Project Report.pdf
 
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
一比一原版(爱大毕业证书)爱荷华大学毕业证如何办理
 
Data Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason WebinarData Driven Maintenance | UReason Webinar
Data Driven Maintenance | UReason Webinar
 
Transformers design and coooling methods
Transformers design and coooling methodsTransformers design and coooling methods
Transformers design and coooling methods
 
Applications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdfApplications of artificial Intelligence in Mechanical Engineering.pdf
Applications of artificial Intelligence in Mechanical Engineering.pdf
 
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
Use PyCharm for remote debugging of WSL on a Windo cf5c162d672e4e58b4dde5d797...
 
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENTNATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
NATURAL DEEP EUTECTIC SOLVENTS AS ANTI-FREEZING AGENT
 
OOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming languageOOPS_Lab_Manual - programs using C++ programming language
OOPS_Lab_Manual - programs using C++ programming language
 
Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...Software Engineering and Project Management - Introduction, Modeling Concepts...
Software Engineering and Project Management - Introduction, Modeling Concepts...
 
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
Tools & Techniques for Commissioning and Maintaining PV Systems W-Animations ...
 
smart pill dispenser is designed to improve medication adherence and safety f...
smart pill dispenser is designed to improve medication adherence and safety f...smart pill dispenser is designed to improve medication adherence and safety f...
smart pill dispenser is designed to improve medication adherence and safety f...
 
一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理一比一原版(USF毕业证)旧金山大学毕业证如何办理
一比一原版(USF毕业证)旧金山大学毕业证如何办理
 
Generative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdfGenerative AI Use cases applications solutions and implementation.pdf
Generative AI Use cases applications solutions and implementation.pdf
 
ITSM Integration with MuleSoft.pptx
ITSM  Integration with MuleSoft.pptxITSM  Integration with MuleSoft.pptx
ITSM Integration with MuleSoft.pptx
 
Null Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAMNull Bangalore | Pentesters Approach to AWS IAM
Null Bangalore | Pentesters Approach to AWS IAM
 

Problema 1

  • 1. Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad (868)-2256319 / (868)-3353693 Problem1.) SECEMC Solutions Ltd., Could you please find the maximum stress under the existing load Solution: a.) Establish your coordinate axis: (You can establish the directions of the axis which is more convenient for you, we establish up/right/clockwise as positive + + 1 m 6 kN/m 3 m 2 m 15 kN 150 mm 250 mm A B HA VA VB 15 kN 3 m 2 m 1 m 6 kN/m
  • 2. Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad (868)-2256319 / (868)-3353693 b.) Reactions: (1) Σ H = 0, HA= 0 (2) Σ V = VA + VB – 15kN -18kN = 0 (3) Σ MA =0, 15 kN x 2m + 18 kN x 1.5m – 3m x VB =0 VB = 19 kN From Equation (2) VA + 19 kN - 15kN -18kN = 0 VA = 14 kN c.) Shear diagram 14 kN 2kN d.) Moment Diagram Maximum moment = Area of shear diagram= (14kN+2kN)x 2/2= 16kN-m 6kN/m x 3 m= 18 kN + + + 14-6x 2 m 1 m 13+6x 13kN + - 19 kN A B
  • 3. Offices 302, Top Floor-Cross Crossing Shopping Centre –Cipero St. & Lady Hailes Av. San Fernando Trinidad (868)-2256319 / (868)-3353693 e.) Maximum stress under the existing load. The maximum stress will be found, where the two loads are applied----Maximum moment  We know: σ =M (Moment)/S (section modulus)  It is important to unify the units 1 m = 1000 mm = 103 mm  Section Modulus = I (moment of inertia)/c (Distance to neutral axis)  I=bxh3 /12 I=150x2503 /12 = 195,312,500.00 mm 4  S = 195,312,500.00 mm4 /125 mm = 1,562,500 mm3  maximum stress = σ = 16kNx10 3 mm/1,562,500 mm3 = =0.01024 kN/mm2  Maximum stress σ = 10.24 MPa b=150mm h=250mm c=125 mm