*SEMESTER.: 1 ^{ST} OR 2^{ND }BRANCH: ALL*(MECH, CIVIL, EC, COMPUTER, IT, ELECTRICAL) SCALE: 1:1 SUBJECT CODE: 110013(GTU-Gujarat Technological University) SUBJECT:ENGINEERING GRAPHICS*

*SHEET NO. 1 NAME: PRACTICE SHEET*

**Prob.-1 **Prepare the table of Types of Lines used in Engineering Graphics given below.

**Prob.-2 **Write Straight and Inclined Letters & Numerals.

**Prob.-3 **Methods of Dimensions with example drawing.

(1) Uni-directional System. (2) Aligned System. (3) Angular Dimensions.

**Prob.-4 **Draw polygons by the Universal method of polygon.

*SHEET NO. 2 NAME: LOCI OF POINTS*

**Prob.-1** OBA is a simple crank chain. OB is a crank of 35mm length. BA is connecting rod of 90mm length. Slider A is sliding on a straight path passing through the point O. Draw the locus of the mid-point of the connecting rod AB for one complete revolution of the crank OB.

**Prob.-2 **O_{1}ABO_{2 }is a Four Bar Chain with the link O_{1}O_{2} as the fixed link. Driving crank O_{1}A is 30mm long. Driven crank O_{2}B is also 30mm long. Connecting link AB is 80mm long. Distance between O_{1} and O_{2} is 80mm. Two cranks are revolving in opposite direction. Draw the loci of points M and N for one complete revolution of the driving crank. The point M is the mid-point of the connecting link AB and the point N is 30mm from B on AB extended.

**Prob.-3 **KL is a crank of 35mm length revolving in a clockwise direction. LM is a rod connected to the crank at the point L by turning pair and rod LM is constrained to pass through the guide at O_{1} called trunnion. Draw the loci of points P and M for one revolution of the crank KL. The point P is 40mm from L on the rod LM. Length of LM is 120 mm. Point O_{1} is 80mm on the right and 30mm below the point K.

**Prob.-4** A pendulum OC is pivoted at O is 120 mm long. It swings 30^{0} to the right of vertical and also 30^{0} to the left of vertical. An insect initially at O reaches to the point C, when the pendulum completes two oscillations. Draw the path of the insect, assuming motion of the insect and pendulum as uniform.

*SHEET NO. 3 NAME: ENGINEERING CURVES*

**Prob.-1 **Draw Ellipse, Parabola and a Hyperbola on the same axis and same directrix. Take distance of focus from the directrix equal to 50mm and eccentricity ratio for the ellipse, parabola and hyperbola as 2/3, 1 and 3/2 respectively. Plot at least 8 points. Take suitable point on each curve and draw tangent and normal to the curve at that point.

**Prob.-2 **Focal points of the ellipse are at 80mm apart and the minor axis is of 60mm length. Determine the length of major axis and draw the ellipse by concentric circle method.

**Prob.-3 **A circle of 50mm diameter rolls on and in another fixed circle of radius 80mm. Draw the epicycloid and hypocycloid for the point P on the rolling circle, which is at the contact point of the rolling and fixed circles.

**Prob.-4 **A string is unwound from a circle of 30 mm radius. Draw the locus {Involute of circle} of the end of the string for unwinding the string completely. String is kept tight while being unwound. Draw normal and tangent to the curve at any point.

**Prob.-5 **Construct an Archimedean spiral for one and half convolution. The greatest and the least radii being 50mm and 14mm respectively.Draw tangent and normal to the spiral at a point 40mm from the centre.

*SHEET NO. 4 NAME: PROJECTION OF POINTS AND STRAIGHT LINES*

**Prob.-1 **Draw the projection of points, the position of which are given below:

- A point ‘P’ 25mm above H.P. and 20 mm behind V.P.
- A point ‘Q’ 20mm below H.P. and 25mm behind V.P.
- A point ‘R’ 25mm below H.P. and 20mm in front of V.P.
- A point ‘S’ 20mm above H.P. and 25mm in front of V.P.
- A point ‘T’ on H.P. and 25mm in front of V.P.
- A point ‘U’ on H.P. and 25mm behind V.P.
- A point ‘V’ on V.P. and 20mm above H.P.
- A point ‘W’ on V.P. and 20mm below H.P.
- A point ‘X’ on H.P. as well as V.P. both.

**Prob.-2 **A line AB, 60mm long, is inclined at an angle of 45^{0} to HP. and 30^{0} to VP. One of its end point A is in HP as well as VP. Determine its apparent inclinations.

**Prob.-3 **A line CD is 65mm long, has its end point C 15mm above HP and 10mm in front of VP & end point D 45mm above HP and 50mm in front of VP. Determine true inclinations of the line CD with HP and VP.

**Prob.-4 **The top view and the front view of the line EF, measures 60mm and 50mm respectively. The line is inclined to HP and VP by 30^{0} and 45^{0}, respectively. The end E is on the HP and 10mm in front of VP. Other end F is in the 1^{st} quadrant. Draw the projections of the line EF , find its true length and draw traces.

**Prob.-5 **A line PQR, 80mm long, is inclined to H.P. by 30^{0 }and V.P. by 45^{0}. PQ:QR :1:3. Point Q is in V.P. and 20mm above H.P. Draw the projection of the line PQR when the point R is in the 1^{st }quadrant. Find the position of the point P.

**Prob.-6 **A line YZ, 65mm long, has its end Y 20mm below HP and 25mm behind VP. The end Z is 50mm below HP and 65mm behind VP. Draw the projections of line YZ and finds its inclinations with HP and VP.

*SHEET NO. 5 NAME: PROJECTION OF PLANES*

**Prob.-1 **Draw the projection of a circle of 60mm diameter resting on the H.P. on a point A of the circumference. The Plane is inclined to the HP such that plan of it is an ellipse of minor axis 40mm. The plan of the diameter through the point A is making an angle of 45˚ with the V.P. Measure the angle of the plane with the H.P.

**Prob.-2 **ABCD is a rhombus of the diagonals AC = 65mm and BD = 40mm. Its corner A is in H.P. and the plane is inclined to the H.P. such that the plan appears to be a square. The plans of diagonal AC makes an angle of 25˚ to the V.P. Draw the projection of the plane and find its inclination with H.P.

**Prob.-3 **A semi- circular thin plate of 60mm diameter rest on the H.P. on its diameter which is inclined at 45˚ to the V.P. and the surface is inclined at 30˚ to the H.P. Draw the projection of the plate.

**Prob.-4** A regular hexagonal plate 35mm side is resting on one of its corners in H.P. The diagonal through that corner is inclined at 35^{0} to H.P. and the plan of that diagonal inclined to V.P. by 25^{0}. Draw the projection of the plate.

*SHEET NO. 6 NAME: PROJECTION OF SOLIDS*

**Prob.-1** A pentagonal pyramid has height 60mm and the side of a base 30mm. The pyramid rests on one of its sides of the base on the H.P. such that the triangular face containing that side is perpendicular to the H.P. and makes an angle of 45^{0} with the V.P. Draw its projections.

**Prob.-2** A hexagonal prism of 30mm side of base and 70mm height, resting on the H.P. such that the axis is inclined at 30^{0} to the H.P. and 60^{0} to the V.P. Draw its projections. Keep the top end of the prism near to the V.P.

**Prob.-3** A cylinder diameter of base 50mm and height 70mm is resting on the H.P. on a point of its periphery of the base. The axis of the cylinder is inclined to H.P. by 30^{0} and the axis is inclined at 45^{0} to the V.P. Draw the projections. Keep top end of the cylinder near to observer.

**Prob.-4 **A sphere P, radius 20mm; is resting on H.P. Another sphere Q, radius 15mm is nailed to the sphere P. Line joining the centers of sphere P and sphere Q is parallel to V.P. and inclined to H.P. by 40^{0}. Draw the projection of the sphere and show the contact point in all views.

*SHEET NO. 7 NAME: SECTION OF SOLIDS*

**Prob.-1** A cone with base circle diameter 60mm and axis length 75mm is kept on its base on the ground. It is cut by a sectional plane perpendicular to H.P. and inclined at 60^{0} to V.P. at a distance of 8mm away from the top view of axis. Draw sectional elevation and true shape of the section.

**Prob.-2** A cylinder diameter of base 50mm and height 70mm is resting on H.P. on its base. It is cut by A.I.P. in such a way that it makes an angle of 45^{0} with H.P. and passing 10mm above the center of its height. Draw elevation, sectional top view, Sectional side view and true shape of the section.

**Prob.-3** A pentagonal pyramid, side of base 40mm and height 80mm is resting on H.P. on its base with one of the edges of the base away from V.P. is parallel to V.P. It is cut by an A.I.P. which is inclined at 60^{0} with H.P. and passing 20mm below the apex. Draw its elevation, sectional plan and true shape of section.

**Prob.-4** A hexagonal prism is resting on H.P. on its base with two edges of base parallel to V.P. It is cut by an A.I.P. which is perpendicular to V.P. and inclined to H.P. by 45^{0} and passing through a point 40mm above the base & on axis. Draw elevation, sectional plan, sectional side view and true shape of section. Take side of base 30mm and height 60mm.

*SHEET NO. 8 NAME: DEVELOPMENT OF SURFACES OF SOLIDS*

**Prob.-1** A cone made up of Aluminium sheet with base circle diameter 65mm and axis length 75mm is kept on its base on the ground. A circular hole of 30mm diameter is cut through the cone such that its axis remains perpendicular to V.P.; 10mm to the right of the axis of cone and 25mm above the base of cone. Develop the surface of the cone.

**Prob.-2** The square pyramid with the length of side of base 30mm and lengthof axis 60mm as shown in the fig. 1 below.Develop the surface of the pyramid.

**Prob.-3 **The cylinder with diameter Ø 50mm and height 60mm as shown in the fig. 2 below. Develop the surface of the cylinder.

**Prob.-4** A hexagonal prism is resting on H.P. on its base with two edges/ sides of base parallel to V.P. One equilateral triangular shape of size 20 mm is cut from the prism such that the axis of the triangle is perpendicular to V.P. & parallel to H.P. & passing through the centre of the height & width of the prism. Develop the surface of the prism. Take side of base 30 mm and height of axis 80 mm of the prism.

*SHEET NO. 9 NAME: ORTHOGRAPHIC PROJECTION*

**Prob.-1 **Draw the Orthographic Projections of the object given in fig.-1 in **1 ^{st} angle** method of projection.

**(1) Front View. (2) Top view. (3) L. H. S.V.**

**Prob.-2 **Draw the Orthographic Projections of the object given in fig.-2 in **3 ^{rd} angle** method of projection.

**(1) Front View. (2) Top view. (3) L.H. S.V.**

**Prob.-3 **Draw the Sectional Orthographic Projections of the object given in fig.-3 **(1) Sectional Front View (2) Top view (3) L.H.S.V.**

*SHEET NO. 10 NAME: ISOMETRIC PROJECTION*

**Prob.-1** Draw Isometric View of the object given below. (Fig.-1)

**Prob.-2 ** Draw Isometric View of the object given below. (Fig.-2)

* EG (Engineering Graphics) Sheet Data for Noble Engineering College, Junagadh.