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# Engineering graphics

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### Engineering graphics

1. 1. Sri Shanmugha College of Engineering and Technology, (Approved by AICTE, New Delhi & Affiliated To Anna University) Pullipalayam, Morur (PO), Sankari (TK), Salem. Pin: 637304 Department of Mechanical Engineering GE2111 Engineering Graphics Question Bank Unit IV—Section of Solids and Development of SurfacesSection of Solids 1. A pentagonal pyramid of base side 40 mm and height 80 mm rests on the base such that one base edge is perpendicular to VP. It is cut by a section plane inclined at 450 to HP and passing through the midpoint of the axis removing the apex. Draw the front view sectional top view and true shape of the section. 2. A cylinder of 50 mm base diameter and axis length 70 mm rests with its base on HP. It is cut by a plane perpendicular to VP and inclined at 300 to HP and passing through the axis at a distance of 30 mm from the base. Draw its front view, sectional top view and true shape of the section. 3. A vertical cylinder 40 mm diameter is cut by a vertical section plane making 300 to VP in such a way that the true shape of the section is a rectangle of 25 mm and 60 mm sides. Draw the projections and true shape of the section. 4. A cone, base 40 mm diameter axis 60 mm length rests with its base on HP. It is cut by a section plane perpendicular to VP and parallel to the one of its generator passes through the point on the axis at the distance of 25 mm from the apex. Draw the sectional top view and true shape of the section. 5. A pentagonal pyramid of base side 30 mm and axis length 60 mm is resting on HP on its base with side of base parallel to VP it is cut by a section plane intersects at 450 to VP and perpendicular to HP and is 12 mm away from the axis. Draw its top view, sectional front view and true shape of the section. 6. A pentagonal prism of base edge 35 mm and axis 65 mm on HP with its bas edge parallel to VP. It is cut by a plane perpendicular to HP and inclined at 300 to VP passes through a point 8 mm away from the axis. Draw the sectional elevation and true plan shape of the section. 7. A hexagonal pyramid of base side 25 mm and axis 55 mm rests on its base on HP with two base edges perpendicular to VP. It is cut by a plane perpendicular to VP and inclined at 300 to HP, meeting the axis at 20 mm from the vertex. Draw its front view, sectional top view and true shape of the section.Development of Surfaces 8. A hexagonal prism of base side 30 mm and axis height 70 mm is resting on its base on HP with one of its faces parallel to VP. It is cut by plane perpendicular to VP andDepartment of Mechanical Engineering Page 1
2. 2. inclined at 35º to HP, meeting the axis at a distance of 40 mm from the base. Draw the development of lateral surfaces of the lower portion of the prism. 9. A cylinder of diameter 45 mm and height 70 mm is resting vertically on one of its ends on the HP. It is cut by a plane perpendicular to VP and inclined at 45º to HP. The plane meets the axis at a point 35 mm above the base. Draw the development of the lateral surface of the lower portion of the truncated cylinder. 10. A hexagonal pyramid of base side 30 mm and height 65 mm rests on its base on the ground with a base edge parallel to VP. It is cut by a plane perpendicular to VP and inclined at 55º to HP and meets the axis at a height of 30 mm from the base. Draw the lateral surface development. 11. A cone, base 54 mm diameter and height 72 mm, rests with its base on HP. A section plane perpendicular to HP and inclined at 250 to VP cuts the cone at a distance of 13.5 mm from the axis. Draw the sectional front view and develop the lateral surface of the remaining portion of the cone. 12. A cone of base diameter 80 mm and axis height 80 mm rests on HP on its base. A square hole of side 40 mm is cut horizontally through the cone such that the axis of the hole and the square intersect at a height of 16 mm from the base. If the sides of the holes are equally inclined to the HP, Draw the development of the lateral surface of the cone. 13. A circular hole of diameter 30mm is drilled through a vertical cylinder of diameter 50mm and height 65mm .The axis of the hole is perpendicular to the VP and meets the axis of the cylinder at right angles at a height of 30mm above the base. Draw the development of the lateral surface of the cylinder. 14. A vertical chimney of 60 m diameter joins a roof sloping at an angle of 35º with the horizontal. The shortest portion over the roof is 25 m. determine the shape of the sheet metal from which the chimney can be fabricated. Take a scale of 1:20. Unit V—Isometric and Perspective ProjectionsIsometric Projections 1. A cylinder of height 65 mm and diameter 40 mm is resting on its base on the HP. It is cut by a plane perpendicular to VP and inclined at 30º to the HP. The plane passes through a point on the axis located at 25 mm from the top. Draw the isometric projection of the cut cylinder. 2. A frustum of a square pyramid of bottom edge 50 mm, top edge 25 mm and height 50 mm. draw the isometric projection of the frustum. 3. A hexagonal pyramid of base 25 mm and height 60 mm stands with its base on the HP with an edge of base parallel to VP. A horizontal plane cuts the pyramid and passes through a point on the axis at a distance of 30 mm from the apex. Draw the isometric projection of the frustum of the pyramid. 4. A pentagonal pyramid of base side 30 mm and height 65 mm stands with its base on HP with a side of base perpendicular to VP. It is cut by a plane inclined at 30º to HP andDepartment of Mechanical Engineering Page 2
3. 3. perpendicular to VP and passes through a point at a distance of 30 mm from the apex. Draw the isometric view of the bottom portion of the pyramid. 5. Draw the isometric projection of a hexagonal prism of base side 25 mm and height 50 mm when it rests on one of its ends on HP with two its base sides parallel to VP. 6. A cone of 50 mm diameter and height 70 mm stands on HP with its base. It is cut by a cutting plane perpendicular to VP and inclined at 30º to HP, cutting the axis of the cone at a height of 40 mm from the base. Draw the isometric view of the remaining part of the cone.Perspective Projections 7. A cube of side 40mm is resting on the ground on one of its faces, with a vertical face in PP and the rest behind it. The central plane is located 50mm to the left of the axis of the cube. This station point is 40mm in front of PP and 60mm above GP. Draw the perspective view of the solid. 8. A square pyramid of side of base 50mm and altitude 70mm stands on the ground vertically with an edge of base parallel to and 20mm behind PP. The station point is 40mm in front of PP and 70mm above the ground. The central plane is located 45mm to the left of the axis of the solid. Draw the perspective view of the solid. 9. A Pentagonal pyramid of 30mm base side and axis height 40mm is standing on its base on the ground Plane with a base side parallel to and 25mm behind PP. The central plane is 35mm to the left of the apex and the station point is 40mm in front of PP and 20mm above the GP. Draw the perspective view of the solid. 10. A cylinder of diameter 40mm and height 65mm rests with its base on the GP such that the axis is 25mm behind the PP. The station point is 30mm in front of the PP and 110mm above the GP and lies in a central plane which is 65mm to the right of the axes of the solids. Draw the perspective view of the cylinder. 11. Draw the perspective projection of a square prism of base side 40 mm and height 50 mm. One of the vertical lateral faces is parallel to PP and 30 mm behind it. The station point is 80 mm from the PP and 80 mm above the ground and 60mm to the right of the axis of the prism. (Use visual ray method). Unit III—Projection of Solids 1. A triangular prism, side of base 20 mm and height 45 mm rests with one of its base edge on HP, such that the edge containing rectangular face makes an angle 30o to HP and parallel to VP. Draw its projections. 2. A pentagonal prism of base side 25 mm and height 55 mm rests with one of its base corner on HP, such that the axis of the solid makes an angle 45 o to HP and parallel to VP.Draw its projections if one of its rectangular face makes an angle 30o to VP. 3. A square prism of side of base 30 mm and height 50 mm resting with its longer edge on HP, such that axis of the solid inclined at an angle of 60o to VP and parallel to HP. Draw its projections if one of its rectangular face makes an angle 30o to VP.Department of Mechanical Engineering Page 3
4. 4. 4. A hexagonal prism, side of base 25 mm and axis 50 mm long, lies with one of its rectangular faces on HP, such that the axis is inclined at 45o to VP and parallel to HP. Draw its projections. 5. A square pyramid, side of base 30 mm and height 65 mm, rests with one of the edges of its base on HP such that its base makes 30o to HP and parallel to VP. Draw its projections. 6. A hexagonal pyramid side of base 25 mm, axis 50 mm long lies with one of its triangular faces on the HP and its axis is parallel to the VP. Draw its projections. 7. A pentagonal pyramid, side of base 30 mm and axis 55 mm long, lies with one of its slant edge on HP such that its axis is parallel to VP. Draw its projections if one of its base edge parallel to VP. 8. A rectangular prism of side 20 mm x 25 mm and altitude 45 mm rests with one of its shorter edges on HP such that axis of the solid makes an angle 60o to HP and parallel to VP. Draw its projections. 9. A tetrahedron of 40 mm side rests with one of its edges on HP and perpendicular to VP. The triangular face containing that edge is inclined at 30o to HP. Draw its projection. 10. Draw the projections of a cube of side 40 mm when it rests on the ground on one of its corner and a face containing that corner is inclined at 30o to the ground and perpendicular to VP. 11. Draw the projections of a cylinder, base 30 mm diameter and axis 40 mm long, resting with a point of its base circle on HP such that the axis is making an angle of 30o with HP and parallel to VP. 12. Draw the projection of a cone of base diameter 40 mm and height 65 mm lying with one of its generators on HP. The axis is parallel to VP. 13. Draw the projections of a cylinder 40 mm diameter and 70 mm long, lying on the ground with its axis inclined at 30o to VP. 14. A cone of base 40 mm diameter and axis 50 mm long touches VP on a point of its base circle. Its axis is inclined at 30o to VP and parallel to HP. Draw its projections. 15. A square pyramid, base 30 mm side and axis 50 mm long, is freely suspended from one of the corners of its base with the axis parallel to VP. Draw its projections. 16. A right pentagonal pyramid of side 20 mm and altitude 50 mm rests on one of its edges of the base in the HP. The base being tilted up such that the apex is 30 mm above HP. Draw the projection of the pyramid when the edge on which it is resting is perpendicular to VP.Department of Mechanical Engineering Page 4
5. 5. UNIT II ---Projection of Lines and PlanesProjection of Lines 1. A line AB 60 mm long has its end B 20 mm above HP and 25 mm infront of VP. The end A is 50 mm above HP and 50 mm infront of VP. Draw its projections and find its inclinations with VP and HP. 2. The top view of a line PQ makes an angle of 30o with the horizontal and has a length of 100 mm. the end Q is in the HP and P is in the VP and 65 mm above the HP. Draw the projections of the line and find its true length and true inclinations with the h reference planes. 3. A line AB of 75 mm long is inclined at 300 with VP and lies in a plane perpendicular to both VP and HP. Draw the projections of the line AB. 4. The projections of a line measure 80 mm in top view and 70 mm in front view. The midpoint of the line is 45 mm infront of VP and 35 mm above HP. One end is 10 mm infront of VP and nearer to it. Draw the projections of the line. Find the true inclinations and true length. 5. A straight line AB has its ends A 20 mm above HP and 25 mm infront of VP. The other end B is 60 mm above HP and 65 mm infront of VP. The ends of the line are on the same projector. Draw its projections. Find its true length and true inclinations. 6. A line AB has its end A in HP and 40 mm infront of VP. Its front view is inclined at 500 to XY and has a length of 70 mm. the other end B is in VP. Draw its projections. Also find the true length and true inclinations of the line. 7. A line LM 70 mm long has its end L 10 mm above HP and 15 mm infront of VP. Its top and front view measure 60 mm and 40 mm respectively. Draw the projections of the line and determine its inclinations with VP and HP. 8. The distance between the projectors of two points A & B is 70 mm. point A is 10 mm above HP and 15 mm infront of VP. Point B is 50 mm above HP and 40 mm infront of VP. Find the shortest distance between A & B by rotating line method. 9. A line CD is inclined at 250 to HP measures 80 mm in top view. The end C is in the Ist quadrant and 25 mm and 15 mm from HP & VP respectively. The end D is at equal distances from both the reference planes. Draw the projections and find the true length a true inclination with the reference planes. 10. A straight line ST has its end S 10 mm infront of VP and nearer to it. The midpoint m of the line is 50 mm infront of VP and 40 mm above HP. The front and top view measures 90 mm and 120 mm respectively. Draw the projections of the line. Also find its true length and true inclinations with VP and HP. 11. A line CD 80 mm long is inclined at an angle of 300 to HP and 450 to VP. The point C is 20 mm above HP and 30 mm infront of VP. Draw the projection of the lines.Department of Mechanical Engineering Page 5
6. 6. 12. A line measuring 75 mm long has one of its ends 50 mm infront of VP and 15 mm above HP. The top view of the line is 50 mm long. Draw and measure the front view. The other end is 15 mm infront of VP and is above HP. 13. The top view of a line AB is 80 mm long and makes 350 with XY. Its front view makes 450 with XY and the line intersects XY at A. find its true length and true inclinations to HP and VP.Projection of Planes 1. A regular pentagonal lamina of 30 mm sides has one edge in HP and inclined at an angle of 300 to VP. Draw its projections when its surface is inclined at 450 to HP. 2. A regular hexagonal lamina of side 30 mm rests on one of its edges on HP. The lamina makes 60°with HP and the edge on which it is resting makes an angle of 60° with VP. Draw its projections. 3. A circular plate of diameter 70 mm has the end P of the diameter PQ in the HP and the plate is inclined at 40° to HP. Draw its projections when the diameter PQ appears to be inclined at 45° to VP in the top view. 4. A hexagonal plate of side 20 mm rests on the HP on one of its sides inclined at 45° to VP. The surface of the plate makes an angle of 30° with the HP. Draw the front view and top view of the plate. 5. A pentagonal lamina of side 35 mm is resting upon its edge on HP, so that the surface is inclined at 450 to HP. The line joining the midpoint of the resting edge to the opposite corner is inclined at 300 to the VP such that the resting edge is away from VP. Draw the projections of the lamina.Department of Mechanical Engineering Page 6