Presentation on theme: "SOLIDS Group A Group B Cylinder Cone Prisms Pyramids"— Presentation transcript:
1 SOLIDS Group A Group B Cylinder Cone Prisms Pyramids To understand and remember various solids in this subject properly,those are classified & arranged in to two major groups.Group ASolids having top and base of same shapeGroup BSolids having base of some shapeand just a point as a top, called apex.CylinderConePrismsPyramidsTriangular Square Pentagonal HexagonalTriangular Square Pentagonal HexagonalCubeTetrahedron( A solid havingsix square faces)( A solid havingFour triangular faces)
2 Dimensional parameters of different solids. Square PrismSquare PyramidCylinderConeApexApexTopSlantEdgeRectangularFaceTriangularFaceBaseLongerEdgeBaseBaseBaseCorner of baseEdgeofBaseEdgeofBaseCorner of baseGeneratorsImaginary linesgenerating curved surfaceof cylinder & cone.Frustum of cone & pyramids.( top & base parallel to each other)Sections of solids( top & base not parallel)
3 STANDING ON H.POn it’s base.RESTING ON H.POn one point of base circle.LYING ON H.POn one generator.(Axis perpendicular to HpAnd // to Vp.)(Axis inclined to HpAnd // to Vp)(Axis inclined to HpAnd // to Vp)F.V.F.V.F.V.XYWhile observing Fv, x-y line represents Horizontal Plane. (Hp)XWhile observing Tv, x-y line represents Vertical Plane. (Vp)YT.V.T.V.T.V.STANDING ON V.POn it’s base.RESTING ON V.POn one point of base circle.LYING ON V.POn one generator.Axis perpendicular to VpAnd // to HpAxis inclined to VpAnd // to HpAxis inclined to VpAnd // to Hp
4 Study Next Twelve Problems and Practice them separately !! STEPS TO SOLVE PROBLEMS IN SOLIDSProblem is solved in three steps:STEP 1: ASSUME SOLID STANDING ON THE PLANE WITH WHICH IT IS MAKING INCLINATION.( IF IT IS INCLINED TO HP, ASSUME IT STANDING ON HP)( IF IT IS INCLINED TO VP, ASSUME IT STANDING ON VP)IF STANDING ON HP - IT’S TV WILL BE TRUE SHAPE OF IT’S BASE OR TOP:IF STANDING ON VP - IT’S FV WILL BE TRUE SHAPE OF IT’S BASE OR TOP.BEGIN WITH THIS VIEW:IT’S OTHER VIEW WILL BE A RECTANGLE ( IF SOLID IS CYLINDER OR ONE OF THE PRISMS):IT’S OTHER VIEW WILL BE A TRIANGLE ( IF SOLID IS CONE OR ONE OF THE PYRAMIDS):DRAW FV & TV OF THAT SOLID IN STANDING POSITION:STEP 2: CONSIDERING SOLID’S INCLINATION ( AXIS POSITION ) DRAW IT’S FV & TV.STEP 3: IN LAST STEP, CONSIDERING REMAINING INCLINATION, DRAW IT’S FINAL FV & TV.GENERAL PATTERN ( THREE STEPS ) OF SOLUTION:GROUP B SOLID.CONEGROUP A SOLID.CYLINDERGROUP B SOLID.CONEGROUP A SOLID.CYLINDERAXISINCLINED HPAXISINCLINED HPAXISVERTICALAXISINCLINED HPAXISVERTICALAXISINCLINED HPAXIS TO VPerAXIS TO VPerAXISINCLINED VPAXISINCLINEDVPAXISINCLINEDVPAXISINCLINED VPThree stepsIf solid is inclined to HpThree stepsIf solid is inclined to HpThree stepsIf solid is inclined to VpThree stepsIf solid is inclined to VpStudy Next Twelve Problems and Practice them separately !!
5 FREELY SUSPENDED SOLIDS: Positions of CG, on axis, from base, for different solids are shown below.HH/2H/4GROUP A SOLIDS( Cylinder & Prisms)GROUP B SOLIDS( Cone & Pyramids)CGCG
6 corner, then line joining point of contact & C.G. remains vertical. Solution Steps:In all suspended cases axis shows inclination with Hp.1.Hence assuming it standing on Hp, drew Tv - a regular pentagon,corner case.2.Project Fv & locate CG position on axis – ( ¼ H from base.) and name g’ andJoin it with corner d’3.As 2nd Fv, redraw first keeping line g’d’ vertical.4.As usual project corresponding Tv and then Side View looking from.Problem 7: A pentagonal pyramid30 mm base sides & 60 mm long axis,is freely suspended from one corner ofbase so that a plane containing it’s axisremains parallel to Vp.Draw it’s views.LINE d’g’ VERTICALd’a’d’e’c’b’o’c’e’IMPORTANT:When a solid is freelysuspended from acorner, then line joining point of contact & C.G. remains vertical.( Here axis shows inclination with Hp.)So in all such cases, assume solid standing on Hp initially.)g’Ha’b’g’H/4Xa1b1o1e1d1c1abcdeo
7 X Y Problem 8: a’ d’ c’ b’ a’ d’ c’ b’ 1’ 1’ b c d a a1 b1 d1 c1 Solution Steps:1.Assuming it standing on Hp begin with Tv, a square of corner case.2.Project corresponding Fv.& name all points as usual in both views.3.Join a’1’ as body diagonal and draw 2nd Fv making it vertical (I’ on xy)4.Project it’s Tv drawing dark and dotted lines as per the procedure.5.With standard method construct Left-hand side view.( Draw a 450 inclined Line in Tv region ( below xy).Project horizontally all points of Tv on this line andreflect vertically upward, above xy.After this, drawhorizontal lines, from all points of Fv, to meet theselines. Name points of intersections and join properly.For dark & dotted lineslocate observer on left side of Fv as shown.)Problem 8:A cube of 50 mm long edges is so placedon Hp on one corner that a body diagonalthrough this corner is perpendicular to Hpand parallel to Vp Draw it’s views.a’d’c’b’a’d’c’b’X1’Y1’bcdaa1b1d1c1
8 Problem 12: A frustum of regular hexagonal pyramid is standing on it’s larger base On Hp with one base side perpendicular to Vp.Draw it’s Fv & Tv.Project it’s Aux.Tv on an AIP parallel to one of the slant edges showing TL.Base side is 50 mm long , top side is 30 mm long and 50 mm is height of frustum.FvAIP // to slant edgeShowing true lengthi.e. a’- 1’1’ ’5’ ’4’X1Y14TL5312XYa’ b’ e’ c’ d’Aux.Tvabdced1c1e1Tv12345a1b1
Your consent to our cookies if you continue to use this website.