View Factor Orientation (or View factor or shape factor) plays an important role in radiation heat transfer. View factor is defined as, "fraction of radiation leaving surface 'i' and strike 'j' ". Summation Rule (View Factor) If there is are similar surfaces 'i' and 'j' , then: Blackbody Radiation Exchange Radiation Exchange between Opaque, Diffuse, Gray surfaces in an Enclosure 1. Opaque 2. Surfaces 3. Two surface enclosure Radiation Shield It is used to protect surfaces from radiation act like a reflective surface. References: Material from Class Lectures + Book named Fundamentals of Heat and Mass Transfer by Theodore L. Bergman + My knowledge. Photoshoped pics are developed. Some pics and GIF from Google. Videos from YouTube ( Engineering Sights ).
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Equilibrium of a Rigid Body
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Rigid Bodies:
Bodies which don't deform under load are called Rigid Bodies. It is the only supposition in Statics.
Conditions for Rigid Bodies Equilibrium:
Condition for equilibrium of rigid Bodies are:
If the total force on a rigid body is zero then the body shows translational equilibrium as the linear momentum remains unchanged.
If the total torque on a rigid body is zero then the body showa rotational equilibrium as the angular momentum remains unchanged.
Free Body Diagrams:
While solving a problem in statics, we should draw free Body diagram in order to make problem even more easier.
Reaction of Connection In 2D plane:
Types of connection, reaction and number of unknowns for different connections are given by:
Equations of Equilibrium (2D):
When the body is subjected to a system of forces, which all lie in the x-y plane, then the forces can be resolved into their x abd y components. So, the conditions for equilibrium are:
ΣFx = 0
ΣFy = 0
ΣMo = 0
Two-Force Members:
A two force member is a body that has forces (only forces, no moments) acting on it in only two locations.
Three-Force Members:
A three-force member is a rigid body with no force couple acted upon by three forced at three different locations.
Reactions of Connections in 3D Plane:
Types of connection, reaction and number of unkowns for different connections are given by:
Equations of Equilibrium (3D):
When the body is subjected to a system of forces, which all lie in 3-dimensional plane, then the forces and moments can be resolved into their x, y and z components. So, the conditions for equilibrium are:
TAPING CORRECTIONS There are two types of corrections depending upon the type of errors in tape due to the different conditions. 1. Systematic Errors : Slope Erroneous tape length Temperature Tension Sag 2. Random Errors : Slope Alignment Marking & Plumbing Temperature Tension & Sag 1. Temperature Correction It is necessary to apply this correction, since the length of a tape is increased as its temperature is raised, and consequently, the measured distance is too small. It is given by the formula, C t = 𝛼 (T m – T o )L Where, C t = the correction for temperature, in m. 𝛼 = the coefficient of thermal expansion. T m = the mean temperature during measurement. T o = the tempe...
Solid Mechanics OR Mechanics of Materials OR Strength of Materials: It is the study of mechanics of body i.e. forces and their effects on deformable solids under different loading conditions. Deformable Body Mechanics: It is the study of non-rigid solid structures which deform under load. Deformation/Distortion ⇾ change of shape and size OR have some relative displacement or rotation of particles. It happens when we apply combined load. Rigid Body Motion ⇾ Translation or rotation of particles but having constant distance between particles. Since deformation occur at particular load. Below this load, every body is considered as rigid body . Types of Load: Point Load ⇾ Load apply on a single point i.e. concentrated load. Uniformly Distributed Load (UDL) ⇾ Load remains uniform throughout an area of element like beam. Varying Distributed Load (VDL) ⇾ Load varies with length with constant rate. Moment ⇾ It measures the tend...
Strain Transformation Principal Strain and stresses can occur in the same directions. Material Properties Relation (Young, bulk Rigidity Modulus) ⇼ Hooke's Law General State of Strain ⇼ Є X , Є Y , Є Z and ૪ X , ૪ Y , ૪ Z . Stress (normal or shear)/ Strain (normal or shear) ⇼ vary with element orientation. Transformation equations for Plane strain derived from: Interpretation of Experimental measurements Represent in graphical form for plane strain (Mohr's Circle). Geometry and independent of material properties. Mohr's Circle It is defined as., " A graphical method for determining normal and shear Shear stresses without using the stress transformation equations " . While considering the circle CCW ⇼ Shear strain positive upward & Normal strain positive towards right. The construction of Mohr's circle (with normal and shear stresses are known) is quite easy which include following steps: Draw a set o...
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