CYCLOIDAL CURVES — EPI-TROCHOID An epi – trochoid is a curve traced by a point situated either within (or) outside the generating circle, when it rolls without slipping on the circumference of another circle [directing circle] outside it. (a) If the tracing point lies out side the generating circle the curve traced is called a … Read more
CYCLOIDAL CURVES — INTERIOR – TROCHOID In this case, some curves related to cycloid are also drawn for further know-how of th reader. INTERIOR – TROCHOID If the rectangular lies within the generating circle, the curve traced is called an interior trochoid. Q.A circular disc of 40 diameter rolls along a st. line for one … Read more
GENERAL CURVES – HELIX Helix is the locus of a point moving around and along the curved surface of a cylinder or cone with combined uniform angular velocity and uniform linear velocity about and in the direction of the axis. The linear distance moved by the point in one revolution is called pitch or lead. … Read more
GENERAL CURVES – INVOLUTE INVOLUTE When a flexible thread is unwound from a circle or square etc., (the thread being kept stretched), the curve traced out by the end of the thread is called an “Involute”. PRACTICAL APPLICATION The profile of a gear teeth is an involute of a circle. Although theoretically, an involute profile … Read more
GENERAL CURVES They are cycloid, involute Helix etc., CYCLOID A cycloid is a curve traced by a point on the circumference of a circle which rolls without slipping along a line. The circle which rolls along the line is called rolling circle, and the line on which the circle rolls is called director. PRACTICAL APPLICATION … Read more
CONICAL CURVES To design shell structures and architectural compositions (Civil Engineering), gear teeth, Todesid other machine components (Mechanical Engineering), a few curves, such as parabola, ellipse, hyperbola, spiral, involute, and cycloids are called for. Parabola, ellipse, and hyperbola are called conic sections they are obtained by cutting a right circular cone by a plane in … Read more
CONSTRUCTION OF REGULAR HEXAGON METHOD -1 (Using Only Compass:) Procedure: With any point O as centre and radius equal to length of the side, draw a circle. With the same radius and starting from any points A on the circle, cut the circle successively at B, C, D, E and F. Connect the sides … Read more
CONSTRUCTION OF REGULAR POLYGON The following procedures describe the methods of drawing regular polygons of any number of sides. METHOD 1: Q.construct a regular polygon of any number of sides (say pentagon) given the length of one of its sides as 25 mm. Solution: Procedure: AB is the given side. It is required to draw … Read more
TO DRAW AN ARC TANGENTIAL TO TWO CIRCLE An arc of given radius may be drawn : (i) Tangential externally to the two given circles, or (ii) Tangential internally to the two given circles, or (iii) Tangential internally to one and externally to the other. TANGENT EXTERNALLY TO BOTH THE CIRCLES Q.Draw an arc of … Read more
TO DRAW AN ARC TANGENT TO A LINE AND PASSING THROUGH A POINT Q. Draw an arc of radius 24 mm passing through a point 18 mm away and tangential to a line 50 mm length. Solution: Procedure: “P” is the point. AB is the line and R is the radius of the arc which … Read more