ENGR-22_Lec-14_Aux_View-2.ppt 1 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Bruce Mayer, PE Licensed Electrical & Mechanical Engineer Engineering 22 Auxiliary Views-2

ENGR-22_Lec-14_Aux_View-2.ppt 2 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Chp7 Goals  To Develop The Skill to Generate Views That Show Inclined And NonOrthographic (Oblique) Surfaces In TRUE Shape In Multiview Drawings  To Be Able to Integrate into Standard OrthoGraphic Drawings these AUXILIARY VIEWS to Clarify the Description of The Object  Find the TRUE SHAPE of Oblique Surfaces

ENGR-22_Lec-14_Aux_View-2.ppt 3 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Successive Auxiliary Views  Recall Uses for Auxiliary Views True Length of a Line Point-View of a Line –View a line from an End Edge View of a Plane –View a Plane on Edge True-Size/Area View of a Plane  ALL of the Above Found by the USE of SUCESSIVE Aux Views

ENGR-22_Lec-14_Aux_View-2.ppt 4 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construction of Successive AuxVs  KEY to Successive Aux View Construction → Recognize That Fold Lines on EITHER EDGE of the Projection Plane Contain COMMON DISTANCES In Fig at Left Note the Distance Xfer from the Hinge Lines Primary AuxV Secondary AuxV ALTERNATING Distance-XFER

ENGR-22_Lec-14_Aux_View-2.ppt 5 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct AuxV Step-by-Step  Consider Pt-1 with Secondary Aux Views Projected from All Three Principal Planes B

ENGR-22_Lec-14_Aux_View-2.ppt 6 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Step-by-Step: 1 H → 1 B 1.Determine LoS for Aux View-A  In Practice This is Done to Reveal Significant Information  This Example is Only Illustrative 2.Draw Fold Line (FL) H/A That is  to the LoS. CHOOSE Dist (D4) From Point 1 H 3.Extend from Pt 1 H a  construction line into “A Space” B 2 3

ENGR-22_Lec-14_Aux_View-2.ppt 7 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Step-by-Step: 1 H → 1 B cont 4.Using Acad DIST & OFFSET, Transfer Dim D1 from FrontV into Aux ProjPlane A along the  Construction Ln 5.Determine the LoS for the 2nd Aux. View 6.Draw Fold Line (FL) A/B That is  to the LoS. Place at any convenient distance From Point 1 A B 6 4 4

ENGR-22_Lec-14_Aux_View-2.ppt 8 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Step-by-Step: 1 H → 1 B cont.2 7.Extend from Pt 1 H a  construction line into “B Space” 8.Using DIST & OFFSET Transfer Dim D4 from TopV into Aux ProjPlane B Along the  Construction Ln 9.This then Establishes the Location of the Desired Pt, 1 B B 7 8 8

ENGR-22_Lec-14_Aux_View-2.ppt 9 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Principal Lines  Characteristics TRUE LENGTH in ONE of the Principal Views PARALLEL to the Ref-Plane Line (a.k.a. Folding Line) in the Other Principal Views  Frontal Line → TL in FRONTAL-Space  Horizonal Line → TL in Top-Space  Profile Line → TL in Profile-Space

ENGR-22_Lec-14_Aux_View-2.ppt 10 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Use of Principal Lines  Principal Lines are Always Parallel to one of the RP or FL lines; and TL in the ADJACENT View  This suggests that we Can find a TL Line by One of Making a FL/RP Line Parallel to a Given Line Drawing a Line that is Parallel to a Given FL/RP Line

ENGR-22_Lec-14_Aux_View-2.ppt 11 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Distance  Given F&H Views at Right showing 10 mm Tube, rk 15 mm sphere at m  Determine the TRUE Clearance Between These Physical Objects

ENGR-22_Lec-14_Aux_View-2.ppt 12 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution Plan  Since m is a BALL it appears in TRUE SIZE in ANY View  Thus Need to Construct the END VIEW of the Cylinder rk which will Appear as a Circle; i.e., want POINT-V for Line rk Can then measure the Center-to-Center distance

ENGR-22_Lec-14_Aux_View-2.ppt 13 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution (1)  Need TL view of rk 1.From TopV, Strike FL H/1 || to r H k 2.Extend in 1-Space  Construction Lines 3.In Prep for Distance Measurement Transfer, Set FL F/H 1 2 3

ENGR-22_Lec-14_Aux_View-2.ppt 14 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution (2) 4.Measure Xfer Distances in F-Space 5.Transfer Distances to 1-space to Locate Pts on the Construction lines 6.Label Points 7.Draw AuxV1 showing Sphere TL Tube True Length

ENGR-22_Lec-14_Aux_View-2.ppt 15 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution (3)  Now need END VIEW of the CenterLINE of the Tube LoS for AuxV2 || to CenterLINE 8.Draw FL 1/2  to CenterLine 9.Extend Construction Lines into 2-Plane 10.Measure Xfer Distances in H-Space True Length

ENGR-22_Lec-14_Aux_View-2.ppt 16 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution (4) 11.Xfer Distances from H- Space to 2-Space 12.Label Points in 2-Spc 13.Draw CIRCLES for  Sphere  END VIEW of Tube True Length

ENGR-22_Lec-14_Aux_View-2.ppt 17 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Solution (5) 14.Measure the Clearance as 14.4 mm 14 True Length

ENGR-22_Lec-14_Aux_View-2.ppt 18 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics True Size Plane Can Show  The Shortest Distance Between a Point & a Line A line & NonCollinear Pt DEFINE a Plane  The Angle Between 2 Intersecting Lines Intersecting Lines DEFINE a Plane Allows Construction of the Angle BiSector

ENGR-22_Lec-14_Aux_View-2.ppt 19 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Normal View of a Plane  Normal View Description A NORMAL or TRUE-SIZE-and- SHAPE (TS) View of a Plane is Obtained in Any View for Which The LoS is  to the Plane  On the Dwg Surface this LoS Appears  to the EDGE View of a Plane  Construction of the TS View for an Oblique Plane Requires 2 Aux Views

ENGR-22_Lec-14_Aux_View-2.ppt 20 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct TS of Oblique Surface 1  Determine True Size of Oblique Surface Recognize that In the H-View Lines 12 & 34 are || the H/F FL Thus Lines 12 & 34 are TRUE LENGTH (TL) in the Front View (Frontal Space, or F-Space)

ENGR-22_Lec-14_Aux_View-2.ppt 21 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct TS of Oblique Surface Determine LoS-P that is parallel to a TL Line Contained in the Plane: e.g.; 12 or 34 3.Strike FL F/1 that is  to LoS-P

ENGR-22_Lec-14_Aux_View-2.ppt 22 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct TS of Oblique Surface Construct Primary Aux View at FL F/1 For Surface 1234 to Establish an EDGE VIEW of the Oblique plane Construction lines  to FL F/1 Xfer Depth Dimensions from TOP View FL H/F

ENGR-22_Lec-14_Aux_View-2.ppt 23 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct TS of Oblique Surface Locate LoS-S that is  to the EV of Surface Strike FL 1/2 that is  to LoS-S 7.Xfer Dims from F-Space to 2-Space to Locate Pts 1- 4 in the 2-Plane

ENGR-22_Lec-14_Aux_View-2.ppt 24 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Construct TS of Oblique Surface 8 8.Connect the Dots in the 2-Plane to Reveal the TRUE Nature (Size & Shape) of the Oblique Surface

ENGR-22_Lec-14_Aux_View-2.ppt 25 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example → EX7-49 FFind Plane-ABC in TRUE SIZE

ENGR-22_Lec-14_Aux_View-2.ppt 26 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics EX7-49 Pln True Shape & SIZE  Make DG Layers

ENGR-22_Lec-14_Aux_View-2.ppt 27 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 2  Acad.dwt Limits = 180, 120  Set up Grid for Axis Layer Zero Offset –X → 55 –Y → 40  Make Prototype Point P Circle Point (size = 2)  Dimension Style “12_5X” at Overall Scale of 12.5X

ENGR-22_Lec-14_Aux_View-2.ppt 28 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 3  Leader for Axes  dtext to label Axes  Use to Locate pts per table  ddedit to change Point Labels  Pline to Make Triangular plan HalfWidth = 0.25

ENGR-22_Lec-14_Aux_View-2.ppt 29 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 4  Construct Plane ABC in Frontal Space  Line with Ortho, cen  Label Points with ddedit  Grid F-Space, Label Points, Connect Dots, to Construct Plane ABC Front-View

ENGR-22_Lec-14_Aux_View-2.ppt 30 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 5  In F-Spc Draw an Arbitrary HORIZONTAL line AD Must be “Level” in F- Space –Ln-AD will be TL in H-Space  Project Ln-AD into Horizontal- Space

ENGR-22_Lec-14_Aux_View-2.ppt 31 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 6  Construct RPA1 by “Sighting Down” the TL line AD Copy, Rotate 90°  Project into 1-Spc Perpendicular Projectors from pts A, B, C Line w/ per

ENGR-22_Lec-14_Aux_View-2.ppt 32 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 7  Go “One View Back” to find distances for A, B, C in 1 space Dist or Dim  Offset RPA1 by these distances to Grid 1-Space  Next → connect Dots in 1-space to Form Pln ABC  Should Show Pln-ABC as EDGE VIEW

ENGR-22_Lec-14_Aux_View-2.ppt 33 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 8  Construct RPA2 PARALLEL to the Pln ABC EdgeView  Draw  Projectors into 2-Space  Go “One View Back” (H-Spc) to get Offset Distances  Offset RPA2 to grid 2-Space

ENGR-22_Lec-14_Aux_View-2.ppt 34 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 9  “Flip Up” the Plane Edge-View by Connecting the Dots in 2-Space  This Reveals the Plane in TRUE Shape  Now Recall from Prob: SCALE: 2:1

ENGR-22_Lec-14_Aux_View-2.ppt 35 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 10  Measure Plane in 2- space using Dim- Aligned  Use area command to calc included Area Specify next corner point or press ENTER for total: Area = , Perimeter =

ENGR-22_Lec-14_Aux_View-2.ppt 36 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane in True SIZE - 11  Scale DOWN by 50% (2-DwgUnits = 1 RealUnit)  Use area command to calc included Area Specify next corner point or press ENTER for total: Area = , Perimeter =

ENGR-22_Lec-14_Aux_View-2.ppt 37 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane True Size/Shape Summary  Make two ADJACENT Aux views  Draw ARBITRARILY positioned PRINCIPAL line (Frontal, Horizontal, Profile) in one view  Project principal line into the ADJACENT Principal (H or F or P) view to show the Principle Line in TRUE LENGTH

ENGR-22_Lec-14_Aux_View-2.ppt 38 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane True Size/Shape Summary  Draw AuxV RPA1-line Perpendicular to the TL PrinLine This essentially "sights down" the TL Line which resides IN THE PLANE  Project into 1-space Using  -Projectors and Dims from “One View Back” to Show TL line in POINT VIEW –Since TL line in the plane is in Pt-V, then the Plane is in EDGE View

ENGR-22_Lec-14_Aux_View-2.ppt 39 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Plane True Size/Shape Summary  Strike RPA2 line PARALLEL to the EV  Project into 2-Space to "flip-Up" the Edge-Viewed Plane Reveals the plane in TRUE SHAPE

ENGR-22_Lec-14_Aux_View-2.ppt 40 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics All Done for Today Auxilliary Views

ENGR-22_Lec-14_Aux_View-2.ppt 41 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Bruce Mayer, PE Licensed Electrical & Mechanical Engineer Engr/Math/Physics 25 Appendix 

ENGR-22_Lec-14_Aux_View-2.ppt 42 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle  Given Oblique-Line Angle RK and NK Find the Magnitude of the angle RKN Construct in the Frontal and Horizontal Plane the Angle BISECTOR

ENGR-22_Lec-14_Aux_View-2.ppt 43 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (1) 1.Strike F/H FL 2.Need TL Line in F- Plane → Draw in H- space Line r H m that is || to F/H FL 3.Project Into F-Space Ln point m H 4.Draw TL FRONTAL Line r F m

ENGR-22_Lec-14_Aux_View-2.ppt 44 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (2) 5.Strike F/1 FL That is  to Frontal Line r F m 6.Extend into 1-Space  Construction Lines 7.Transfers Dims from H-Plane to 1-Plane to Locate Points in 1-Spc 8.Connect Dots to Reveal in 1-Space the EDGE-VIEW of Plane RKN Ln r F m in POINT-View

ENGR-22_Lec-14_Aux_View-2.ppt 45 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (3) 9.Strike 1/2 FL That is || to EV 10.Extend into 2-Space  Construction Lines 11.Xfer Dims: F-Spc → 2-Spc 12.Connect Dots to Show TRUE SIZE Pln r 2 kn

ENGR-22_Lec-14_Aux_View-2.ppt 46 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (4)  Working Now in the TS Plane; Plane-2 13.Use the Digital Protractor to Measure TRUE angle at 49.5° 13

ENGR-22_Lec-14_Aux_View-2.ppt 47 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (5)  Working Again in the TS Plane; BiSect Angle nk 2 r 14.Using k 2 as Vertex Strike Arc at a Convenient Radius 15.At intersections of Arc- 14 and Lines nk 2 and rk 2 Strike arcs with the SAME Radius to Locate BiSection Pt-p R15  R14 16.Draw Angle BiSector Line k 2 p

ENGR-22_Lec-14_Aux_View-2.ppt 48 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (6) 17.Project back Across the AuxV FL-Chain 2→1→F→H the BiSection Point-P 18.Connect in All View Pts k&p to Expose the BiSector Line

ENGR-22_Lec-14_Aux_View-2.ppt 49 Bruce Mayer, PE Engineering 22 – Engineering Design Graphics Example – Oblique Line Angle (7) 19.Clean Up by Removing Intermediate Lines and Points