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What is the importance of mathematics in engineering?
Engineers need to calculate the exact number of bricks, cement, metal or other materials to be used in making the skycrapers or any other building so as to minimize the cost of buying the materials!
What has the same expansion rate as steel?
nothing, like people: each material is different. steel... " talking about mild steel here" has an expansion rate of 0.06 - 0.07 times the lengh for every 100 kelvins this rule holds true up to 1173 kelvin, this is known as a terminal point as the steel starts to soften and alter its physical state thare are other materials avalable with very similar expansion rates bt as a general rule of thumb, each metalic molacule is specific to its (ER)
How is math used to build builsings?
Yes, definitely - cannot do it without math - actually, cannot do much of anything without math You use math by solving algebra equations developed by engineers relating to strength of materials. Those equations are in college level courses, but you need to know basic algebra to solve them - also some calculus, and definitely geometry and trigonometry.
What is the meaning of function in mathematics?
You can imagine a machine that can manufacture some given materials and then can output the materials(of course the materials themselves doesn't change)in some other shapes.That is what a function in mathematics do.You give a point or a number for f(x),then you will get y,which y=f(x).Take f(x)=5x,for example ,if you make x=2,then you will get y=10.you can imagine that the function make a change for the number you put. Actually,when we learn further about Mathematics ,we doesn't take much consideration on the definition of a function but the properties of it such as differentiation .also ,you can define the function as a map.Here ,I'm giving you some intuitive explains,hope it will help you!
What is thermosetting materials?
Thermosetting materials fuse under heat. The change is usually permanent.
Examples of uses of the expansion and contraction of materials?
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What are two examples of uses of the expansion and contraction materials?
Expansion materials can be used in bridges and buildings to accommodate changes in temperature and prevent cracking. Contraction materials are commonly used in pavement construction to control the cracking caused by shrinkage as the material cools.
What are some ways expansion and contraction could cause safety hazards?
Expansion and contraction of materials can cause structural integrity issues like cracking, which can compromise the safety of a building or infrastructure. In heating systems, expansion and contraction can lead to leaks or ruptures in pipelines, posing risks of fire or explosion. In electrical systems, expansion and contraction of wires can result in short circuits or electrical fires.
Could expansion or contraction cause problems?
Yes, expansion or contraction of materials can cause problems in structures, particularly if they are not accommodated for in the design. If expansion or contraction occurs unevenly or is not properly controlled, it can lead to issues such as warping, cracking, or failure of the structure. Proper planning and use of materials that can accommodate thermal expansion and contraction is important to avoid these problems.
Explain how engineers prevents the expansion of solids from damaging structures?
Engineers prevent the expansion of solids from damaging structures by incorporating expansion joints into the design. These joints allow materials to expand and contract without causing stress or damage to the structure. Proper materials selection and planning for thermal expansion also play a crucial role in preventing damage.
What is the meaning of Living with thermal expansion and contraction?
Living with thermal expansion and contraction means understanding that materials expand and contract with changes in temperature, and designing structures or products to accommodate these changes to prevent damage or failure. It involves selecting appropriate materials, using expansion joints, and allowing for movement to occur without compromising the stability or performance of the system.
Where does thermal expansion and contraction occur?
Thermal expansion and contraction occur in materials when they are exposed to changes in temperature. This can happen in solids, liquids, and gases, leading to changes in volume, length, or density of the material. It is a common phenomenon experienced in everyday objects and structures.
Are there any other uses for the expansion and contraction of matter?
Yes, expansion and contraction of matter are used in various practical applications such as bimetallic strips in thermostats, thermometers, and in certain types of mechanical relays. These mechanisms utilize the different rates of expansion and contraction of two materials to measure temperature or to act as switches in electrical circuits.
Is an Expansion and contraction with regard to weathering are caused by rusting?
Expansion and contraction in weathering are caused by temperature changes, not rusting. Rusting is a chemical process that occurs when iron reacts with oxygen in the presence of water, leading to the formation of iron oxide (rust). However, rusting can contribute to the weakening and eventual breakdown of materials, which may then be more susceptible to expansion and contraction due to temperature changes.
Do all materials have the same rate of thermal expansion?
No, different materials have different rates of thermal expansion. Some materials expand more when heated, while others expand less. This is why engineers consider thermal expansion properties when designing structures and systems to account for the potential changes in size due to temperature fluctuations.
What change a materials volume by expansion and compression?
Heating a material causes it to expand, increasing its volume, while cooling a material causes it to contract, decreasing its volume. The expansion and contraction of materials are due to changes in the intermolecular spacing as the temperature changes.
Expansion and contraction with regard to weathering are caused by rusting.?
Expansion and contraction in materials due to rusting occur when iron in the material reacts with oxygen in the presence of water, forming iron oxide (rust) which has a larger volume than iron. This expansion and contraction can lead to cracking and weakening of the material over time.
