This document provides an introduction and overview of truss analysis. It defines a truss and describes the key assumptions made in truss analysis, including that loads act only at joints and member weights are negligible. It then describes the two main methods for truss analysis - the method of joints and method of sections. An example problem is worked through for each method to demonstrate how to determine the forces in each truss member.
Astm designation c 136 for fine aggregatesMuhammad Ahmad
Sieve Analysis for Fine Aggregate as per ASTM. Slides contain all the relevant data and steps that would be required for the performance of sieve analysis of fine aggregates.
In the material testing laboratory, Tensile test was done on a mild steel specimen as figure 4 to identify the young’s modulus, ultimate tensile strength, yield strength and percentage elongation. The results were as table 1
Determination of undrained shear strength of cohesive soil using lab vane shear test.
1. The formula for shear strength is based on following assumptions:
● Shearing Strength in the Horizontal and Vertical directions are the same.
● At the peak value, Shear Strength is equally mobilized at the end surface as well as at the center,
● The shear surface is cylindrical and has a diameter equal to the diameter of the vane.
2. The test gives the undrained strength of the soil. The undisturbed and remolded strength obtained are also useful for evaluating the sensitivity of soil. The data acquired from vane shear test can be used to determine: Undrained shear strength, Evaluate rapid loading strength for total stress analysis, Sensitivity of soil to disturbance, Analysis of stability problems with embankment on soft ground.
3. With increase in water content undrained shear strength decreases for given soil sample.
4. It is a quick test so it can be assumed as an undrained test.
Astm designation c 136 for fine aggregatesMuhammad Ahmad
Sieve Analysis for Fine Aggregate as per ASTM. Slides contain all the relevant data and steps that would be required for the performance of sieve analysis of fine aggregates.
In the material testing laboratory, Tensile test was done on a mild steel specimen as figure 4 to identify the young’s modulus, ultimate tensile strength, yield strength and percentage elongation. The results were as table 1
Determination of undrained shear strength of cohesive soil using lab vane shear test.
1. The formula for shear strength is based on following assumptions:
● Shearing Strength in the Horizontal and Vertical directions are the same.
● At the peak value, Shear Strength is equally mobilized at the end surface as well as at the center,
● The shear surface is cylindrical and has a diameter equal to the diameter of the vane.
2. The test gives the undrained strength of the soil. The undisturbed and remolded strength obtained are also useful for evaluating the sensitivity of soil. The data acquired from vane shear test can be used to determine: Undrained shear strength, Evaluate rapid loading strength for total stress analysis, Sensitivity of soil to disturbance, Analysis of stability problems with embankment on soft ground.
3. With increase in water content undrained shear strength decreases for given soil sample.
4. It is a quick test so it can be assumed as an undrained test.
Truss derives from the Old French word trousse, from around 1200, which means "collection of things bound together". The term truss has often been used to describe any assembly of members such as a cruck frame.
The development of railroads in the 1820s has a particular significance for structural engineers.
Railroads created an urgent need for bridges able to carry heavy moving loads and for new building
Analysis of Truss, There are two major methods of analysis for finding the internal forces in members of a truss; the Method of Joints, which is typically used for the case of creating a truss to handle external loads, and the Method of Sections, which is normally used when dealing modifying the internal members of an existing truss.
Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
HEAP SORT ILLUSTRATED WITH HEAPIFY, BUILD HEAP FOR DYNAMIC ARRAYS.
Heap sort is a comparison-based sorting technique based on Binary Heap data structure. It is similar to the selection sort where we first find the minimum element and place the minimum element at the beginning. Repeat the same process for the remaining elements.
Hybrid optimization of pumped hydro system and solar- Engr. Abdul-Azeez.pdffxintegritypublishin
Advancements in technology unveil a myriad of electrical and electronic breakthroughs geared towards efficiently harnessing limited resources to meet human energy demands. The optimization of hybrid solar PV panels and pumped hydro energy supply systems plays a pivotal role in utilizing natural resources effectively. This initiative not only benefits humanity but also fosters environmental sustainability. The study investigated the design optimization of these hybrid systems, focusing on understanding solar radiation patterns, identifying geographical influences on solar radiation, formulating a mathematical model for system optimization, and determining the optimal configuration of PV panels and pumped hydro storage. Through a comparative analysis approach and eight weeks of data collection, the study addressed key research questions related to solar radiation patterns and optimal system design. The findings highlighted regions with heightened solar radiation levels, showcasing substantial potential for power generation and emphasizing the system's efficiency. Optimizing system design significantly boosted power generation, promoted renewable energy utilization, and enhanced energy storage capacity. The study underscored the benefits of optimizing hybrid solar PV panels and pumped hydro energy supply systems for sustainable energy usage. Optimizing the design of solar PV panels and pumped hydro energy supply systems as examined across diverse climatic conditions in a developing country, not only enhances power generation but also improves the integration of renewable energy sources and boosts energy storage capacities, particularly beneficial for less economically prosperous regions. Additionally, the study provides valuable insights for advancing energy research in economically viable areas. Recommendations included conducting site-specific assessments, utilizing advanced modeling tools, implementing regular maintenance protocols, and enhancing communication among system components.
Forklift Classes Overview by Intella PartsIntella Parts
Discover the different forklift classes and their specific applications. Learn how to choose the right forklift for your needs to ensure safety, efficiency, and compliance in your operations.
For more technical information, visit our website https://intellaparts.com
NUMERICAL SIMULATIONS OF HEAT AND MASS TRANSFER IN CONDENSING HEAT EXCHANGERS...ssuser7dcef0
Power plants release a large amount of water vapor into the
atmosphere through the stack. The flue gas can be a potential
source for obtaining much needed cooling water for a power
plant. If a power plant could recover and reuse a portion of this
moisture, it could reduce its total cooling water intake
requirement. One of the most practical way to recover water
from flue gas is to use a condensing heat exchanger. The power
plant could also recover latent heat due to condensation as well
as sensible heat due to lowering the flue gas exit temperature.
Additionally, harmful acids released from the stack can be
reduced in a condensing heat exchanger by acid condensation. reduced in a condensing heat exchanger by acid condensation.
Condensation of vapors in flue gas is a complicated
phenomenon since heat and mass transfer of water vapor and
various acids simultaneously occur in the presence of noncondensable
gases such as nitrogen and oxygen. Design of a
condenser depends on the knowledge and understanding of the
heat and mass transfer processes. A computer program for
numerical simulations of water (H2O) and sulfuric acid (H2SO4)
condensation in a flue gas condensing heat exchanger was
developed using MATLAB. Governing equations based on
mass and energy balances for the system were derived to
predict variables such as flue gas exit temperature, cooling
water outlet temperature, mole fraction and condensation rates
of water and sulfuric acid vapors. The equations were solved
using an iterative solution technique with calculations of heat
and mass transfer coefficients and physical properties.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
Contact with Dawood Bhai Just call on +92322-6382012 and we'll help you. We'll solve all your problems within 12 to 24 hours and with 101% guarantee and with astrology systematic. If you want to take any personal or professional advice then also you can call us on +92322-6382012 , ONLINE LOVE PROBLEM & Other all types of Daily Life Problem's.Then CALL or WHATSAPP us on +92322-6382012 and Get all these problems solutions here by Amil Baba DAWOOD BANGALI
#vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore#blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #blackmagicforlove #blackmagicformarriage #aamilbaba #kalajadu #kalailam #taweez #wazifaexpert #jadumantar #vashikaranspecialist #astrologer #palmistry #amliyaat #taweez #manpasandshadi #horoscope #spiritual #lovelife #lovespell #marriagespell#aamilbabainpakistan #amilbabainkarachi #powerfullblackmagicspell #kalajadumantarspecialist #realamilbaba #AmilbabainPakistan #astrologerincanada #astrologerindubai #lovespellsmaster #kalajaduspecialist #lovespellsthatwork #aamilbabainlahore #Amilbabainuk #amilbabainspain #amilbabaindubai #Amilbabainnorway #amilbabainkrachi #amilbabainlahore #amilbabaingujranwalan #amilbabainislamabad
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
CW RADAR, FMCW RADAR, FMCW ALTIMETER, AND THEIR PARAMETERSveerababupersonal22
It consists of cw radar and fmcw radar ,range measurement,if amplifier and fmcw altimeterThe CW radar operates using continuous wave transmission, while the FMCW radar employs frequency-modulated continuous wave technology. Range measurement is a crucial aspect of radar systems, providing information about the distance to a target. The IF amplifier plays a key role in signal processing, amplifying intermediate frequency signals for further analysis. The FMCW altimeter utilizes frequency-modulated continuous wave technology to accurately measure altitude above a reference point.
Tutorial for 16S rRNA Gene Analysis with QIIME2.pdf
TRUSS ANALYSIS (TERM PAPER REPORT)
1. 1 | P a g e
TERM PAPER
ON
TTrruussss AAnnaallyyssiiss
SUBMITTED BY: SSUUBBMMIITTTTEEDD TTOO:
SUNIL KUMAR PINAKI NAYAK
Roll no: 140107133
System id: 2014016394
Branch: Civil (2B)
Department of Civil Engineering
School of Engineering and Technology
Sharda University, Gr. Noida, UP, INDIA
sunilsaurav222@gmail.com
2. 2 | P a g e
ABSTRACT:
The purpose of this term paper is to study about the basics of truss and its analysis and
calculation of reactions and internal forces of tension or compression in truss members of
statically determinate 2D trusses with arbitrary number of joints. All joints are supposed to be
hinged. The external forces and reactions (the amount of corresponding constraints must be equal
to 3) can be applied at arbitrary joint, but should be represented by their horizontal and vertical
components. The method of joints and method of section is used in the calculation. It is helpful
not only for structural engineers, but also for students because all main steps of the solution are
provided
3. 3 | P a g e
INTRODUCTION:
The truss as defined by Francis Brangan is a “framed structure consisting of a triangle or a group
of triangle arranged in such a manner that load applied at the points of intersection of the
member will cause only tension and compression in the members” . It is engineered to handle a
pre calculated load , and they are designed and constructed as the minimum structure which will
carry the designed load . The engineering principle behind the truss the shape of a triangle or a
series of a triangle . In geometry a triangle is aver strong ,and can withstand different loads better
than other shapes . In architecture and structural engineering , a truss is a structure comprising
one or more triangular units constructed with straights members whose ends are connected at
joints referred to as nodes . External forces and reaction to those force are considered to act only
at the nodes and result is forces in the members which are either tensile or compressive forces .
Moment (torques) are explicitly excluded because , and only because , all the joints in a truss are
treated as revolute .
DESCRIPTION:
In simple word we can say trusses formed from two forces member, i.e. straight member with
end point connection. A truss consists of straight members connected at joints .no member is
continuous through a joint. Different types of trusses are planer truss and space frame truss. We
will discuss this in detail. And various types of procedure or we can say that methods of analysis
of trusses are:
(a)Methods of joints.
(b)Methods of section.
(c)Graphical methods.
But we will discuss the two method only (a and b).
4. 4 | P a g e
There is no member AB; there are instead two distinct member AD and DB .
Truss structure are widely used in bridge, roofs and at many other places.
TYPES OF TRUSS:
1. PLANER TRUSS:
The simplest form of a truss is one single triangle. This type of truss is seen in a framed roof
consisting of rafters and a ceiling joist and in other mechanical structures such
as bicycles and aircraft. Because of the stability of this shape and the methods of analysis
used to calculate the forces within it, a truss composed entirely of triangles is known as a
simple truss e.g.
The traditional diamond-shape bicycle frame, which utilizes two conjoined triangles, is an
example of a simple truss.
2.SPACE FRAME TRUSS:
A space frame truss is a three-dimensional framework of members pinned at their ends.
A tetrahedron shape is the simplest space truss, consisting of six members which meet
at four joints. Large planar structures may be composed from tetrahedrons with
common edges and they are also employed in the base structures of large free-standing
power line pylons.
STATICAL DETERMINANCY:
A truss that is assumed to comprise members that are connected by means of pin joints, and
which is supported at both ends by means of hinged joints or rollers, is described as
5. 5 | P a g e
being statically determinate. Newton's Laws apply to the structure as a whole, as well as to each
node or joint.
Trusses that are supported at more than two positions are said to be statically indeterminate, and
the application of Newton's Laws alone is not sufficient to determine the member forces.
In order for a truss with pin-connected members to be stable, it must be entirely composed of
triangles. In mathematical terms, we have the following necessary condition for stability:
where m is the total number of truss members, j is the total number of joints and r is the number
of reactions (equal to 3 generally) in a 2-dimensional structure.
When , the truss is said to be statically determinate, because the (m+3) internal
member forces and support reactions can then be completely determined by 2j equilibrium
equations .
e.g.-Test the statically determinacy of the pin jointed trusses shown in below given figure:-
Solution:
The truss has five members and four joints. Thus m=5 and j=4 .
So, 2j-3=5=m .
So truss is statically determinate as it satisfy equation m=2j-3 .
Before going through analysis of trusses we must know some assumption which are made in the
theory that is going to be developed in this term paper.
ASSUMPTION:
1. The end of the member are pin connected (hinged),
2. The loads act only at the joints,
3. Self-weights of the members are negligible,
4. Cross-section of the member is uniform.
ANNALYSIS OF TRUSSES:
Analysis of trusses simply mean the analysis or calculation of forces and its nature in each
member of a trusses. The analysis of trusses often assume that loads are applied to joints only
and not at intermediate points along the member. The weight of the member is often insignificant
compared to the applied loads and so is often omitted.
6. 6 | P a g e
METHODS OF TRUSS ANALYSIS:
1.Methods of joints
2.Methods of section
3.Graphical The structure is explored and the forces on each member and joint are identified. At
each joints the forces in the members meeting and the loads acting , if any , constitute a system
of concurrent forces .
method
The first two are analytical methods and they are dealt in this term paper.
1.METHOD OF JOINTS:
RULES FOR THE METHOD OF JOINTS:
1. Find reactions at the supports
2. Initially we assume all members are in tension
3. If it turns out that they are in compression, the sign (direction) will tell us so
4. Forces are labelled e.g. TAC regardless of whether they go from A to C or C to A
5. Choose a joint with few unknown forces to start
SAMPLE EXAMPLE:-
7. 7 | P a g e
Using the method of joints , determine the force in each member of the truss
SAMPLE EXAMPLE:
Using the method of joints, determine the force in each member of the truss
SOLUTION:
• Based on a free-body diagram of the entire truss, solve the 3
• Joint A is subjected to only two unknown member forces. Determine these from the joint
equilibrium requirements.
• In succession, determine unknown member forces at joints D, B, and E from joint
equilibrium requirements.
• All member forces and support reactions are known at joint C. However, the joint
equilibrium requirements may be applied to check the result
8. 8 | P a g e
• Based on a free-body diagram of the entire truss, solve the 3 equilibrium equations for the
reactions at E and C.
ft6ft12lb1000ft24lb2000
0
E
MC
, lb000,10E
xx CF 0
,
0xC
yy CF lb10,000lb1000-lb20000
,
lb7000yC
Joint A is subjected to only two unknown member forces. Determine these from the joint
equilibrium requirements
9. 9 | P a g e
534
lb2000 ADAB FF
CF
TF
AD
AB
lb2500
lb1500
• There are now only two unknown member forces at joint D.
DADE
DADB
FF
FF
5
3
2
CF
TF
DE
DB
lb3000
lb2500
There are now only two unknown member forces at joint B. Assume both are in tension
lb3750
250010000 5
4
5
4
BE
BEy
F
FF
CFBE lb3750
lb5250
3750250015000 5
3
5
3
BC
BCx
F
FF
TFBC lb5250
10. 10 | P a g e
There is one unknown member force at joint E. Assume the member is in tension
lb8750
375030000 5
3
5
3
EC
ECx
F
FF
CFEC lb8750
All member forces and support reactions are known at joint C. However, the joint equilibrium
requirements may be applied to check the results
checks087507000
checks087505250
5
4
5
3
y
x
F
F
2.METHOD OF SECTION:-
Used when we interested in calculating the load at certain members.In this case, the method of
joints becomes unnecessarily tedious when the truss exceeds a certain size.
11. 11 | P a g e
RULES FOR THE METHOD OF SECTION:-
1.If the joints are in equilibrium, so too is the truss as a whole hence, we can also split it into two
equilibrium part-trusses .
2.The method of sections is especially useful to find the force in a member in the middle of a large truss
SAMPLE EXAMPLE:-
Determine the force in members FH, GH, and GI.
SOLUTION:
• Take the entire truss as a free body. Apply the conditions for static equilibrium to solve
for the reactions at A and L.
12. 12 | P a g e
• Pass a section through members FH, GH, and GI and take the right-hand section as a free
body.
• Apply the conditions for static equilibrium to determine the desired member forces.
SOLUTION:
• Take the entire truss as a free body. Apply the conditions for static equilibrium to solve
for the reactions at A and L.
kN5.12
kN200
kN5.7
m25kN1m25kN1m20
kN6m15kN6m10kN6m50
A
ALF
L
L
M
y
A
13. 13 | P a g e
• Pass a section through members FH, GH, and GI and take the right-hand section as a free
body.
Apply the conditions for static equilibrium to determine the desired member forces
kN13.13
0m33.5m5kN1m10kN7.50
0
GI
GI
H
F
F
M
TFGI kN13.13
14. 14 | P a g e
kN82.13
0m8cos
m5kN1m10kN1m15kN7.5
0
07.285333.0
m15
m8
tan
FH
FH
G
F
F
M
GL
FG
CFFH kN82.13
kN371.1
0m10cosm5kN1m10kN1
0
15.439375.0
m8
m5
tan
3
2
GH
GH
L
F
F
M
HI
GI
CFGH kN371.1
ZERO-FORCEMEMBERS:
If a joint has only two non-collinear members and there is no external load or support reaction at
that joint, then those two members are zero-force members. In this example members DE, CD,
AF, and AB are zero force members.
You can easily prove these results by applying the equations of equilibrium to joints D and A.
Zero-force members can be removed (as shown in the figure) when analyzing the truss.
15. 15 | P a g e
If three members form a truss joint for which two of the members are collinear and there is no
external load or reaction at that joint, then the third non-collinear member is a zero force
member.
Again, this can easily be proven. One can also remove the zero-force member, as shown, on the
left, for analyzing the truss further.
Please note that zero-force members are used to increase stability and rigidity of the truss, and to
provide support for various different loading conditions.
MAJOR CAUSE OF TRUSS FAILURES:
1. Improperly installation or inadequate bracing.
16. 16 | P a g e
2. Overloading the trusses before permanent bracing or sheeting has been installed like stacks of
plywood placed on trusses , for example.
3 .Improper or inadequate connection to the supporting structure .
4. Improper or unauthorized field changes made to trusses.
5. Installing damaged, broken or improperly repaired trusses .
6. Also due to improper design, deterioration, overloading , inadequate repair , and weather
related influences.
17. 17 | P a g e
CONCLUSION:
The truss is a building invent that allows the weight of a roof to be distributed to the outer walls
for better support. Truss gives more support and allows the builders to use fewer materials to
achieve any construction. It allows distribution of load. It increases the span mean life span of
any construction like bridge or building Trusses have some disadvantages also. In truss bridge, it
takes up more space and can some-times become a distraction to drivers. It also have higher
maintenance demand of all joint and fitting, more calculation to determine that it will take the
maximum load. Determination of forces in member is carry out by two process, method of joint
& section. By this we conclude forces in each member and at each joint. Truss play a vital role in
our surrounding i.e. everywhere like in bridge, building, rooftop, etc.
18. 18 | P a g e
BIBLIOGRAPHY:-
1.F.P.Bear,E.RusselJontson. page-286,287,289,304(6.7)page-6.2,fig-6.16.
2.Engineering mechanics by D.P. Sharma.
3.Introduction to mechanical engineering b[1] Standard handbook of engineering
calculation/typerG.Hicks, editorS. David hicks coordinating editor,-3rd ed. Mc Graw-
Hill,inc,1994. p-1.12.
4.Vector mechanics for engineering (statics) ninth edition y onkarsingh(revised third edition).
5. Mechanics for mechanical engineering by Dr. Hanafyomar.