Lecture 4.2 ES 1 SupplementaryWelcome to the world of 3D Engineering Science 1!Some DefinitionsPointAn single element in spaceLine (line segment)A set of points bounded by two end points such that it is arranged in a straight mannerPlaneA set of lines which are bounded but linesSolidA set of planes which are bounded by planesThree Primary/Principal ViewsFront ViewCorresponds to the view when you look/observe the Frontal Reference Plane (FRP)Top ViewCorresponds to the view when you look/observe the Horizontal Reference Plane (HRP)Right Side ViewCorresponds to the view when you look/observe the Profile Reference Plane (PRP)Three Primary/Principal ViewsHRPFRPFRPPRPThree Primary/Principal ViewsZYXThree Primary/Principal ViewsZYX???This is the origin of the concept of measuring distances TWO VIEWs away from the base view.

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Views8HRPFRPFRPPRP

ZYXHRP, FRP, PRP and ARPs are also considered as VIEWs.Views9HRPFRPFRPPRPZZYXCopyright. UP College of Engineering. 2014.

Projecting Points9ACBRRR1R1DHRPFRPFRPPRPCCAABBDDSteps:Draw the projection lines of each point. These lines are always perpendicular to the reference planes.For point A, its location in the RSV is given by the intersection of the projection lines and the arc (with radius R, measured from the HRP).For point B, its location in the Top View is given by the distance from PRP to point B in the RSV.For Points C and D, their location in the FV is given by the intersection of the projection lines from TV and RSV.TL, PV, EV, TSTrue Length (TL)When the reference plane is parallel to the line.Point View (PV)When the reference plane is perpendicular to the TL of the line.Edge View (EV)When the reference plane is perpendicular to the TL of the plane.When the PV of one line in the plane is projected.True Size (TS)When the reference plane is perpendicular to the EV of the plane.

TLTrue Length (TL)RP || to the Line

ABBAFRPHRPABHRPARP1T.L.Concept: To construct the True Length of a line, draw a reference plane which is parallel to that given line and construct the auxiliary view from that reference plane.

12PVPoint View (PV)RP to the TL of the Line

ABBAFRPHRPABHRPARP1T.L.RRAB (PV)ARP2ARP1R1R1Concept: To construct the Point View (PV) of a line, draw it as TL first, then, from the true length, construct a perpendicular reference plane and draw the next view.

13EVEdge View (EV)RP to the TL of the Line contained in the planeDraw a PV of one line in the plane

14FRPPRPBCACBAARP1FRPABCRRAB (T.L.)AB (//RP)ABC (E.V.)Concept: To construct the Edge View of a plane, find a line (contained in the given plane) and draw it as Point View, in this way the plane will necessarily appear as EV.

14TSTrue Size (TS)RP to the EV of the plane

FRPPRPBCACBAARP1FRPABCRR1R1ARP1ARP2CABAB (T.L.)AB (//RP)ABC (E.V.)Concept:To construct the True Size of a plane, draw it as EV first, then draw a reference plane which is parallel to that drawn EV. The resulting auxiliary view from that reference plane (ARP2) will give us the true size of Plane ABC.

15Example16HRPFRPFRPPRPTL12213Do we have an automatic TL in FRP?YES.Regardless what the plane looks like here.Assume that measurements for the distances of points are already given.316Example17HRPFRPFRPPRPTL122117Example18HRPFRP?TL1221?18Example19PVTLTLTLTLTL19ExampleTSPAMARP2ARP1?Answer is always EV, regardless what ARP.Copyright. UP College of Engineering. 2014.

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