Every loading condition on a ship or workboat starts with one question: is the vessel stable enough to sail? The fastest first answer is the transverse metacentric height, GM. This post sets out the hydrostatic fundamentals behind it, shows how free surface in slack tanks erodes it, explains how the inclining experiment fixes the lightship KG, and works through a loading condition for a small cargo vessel. It ends with the first checks against the IMO 2008 Intact Stability Code. It is a screening method, not a substitute for a full stability booklet. It also sits alongside our wider overview of marine engineering and naval architecture . Fundamentals: KB, BM, KM, KG and GM A floating vessel is in equilibrium when weight equals buoyancy and both act along the same vertical line. Buoyancy is the resultant of hydrostatic pressure on the hull, a topic we cover in pressure and fluid statics . When the vessel heels through a small angle, the underwater shape changes, and the centre of buo...
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Introduction To Engineering Drawing
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Engineering Drawing:
Engineering drawing is a technical drawing used to define the requirements for engineering products or products.
Tools Used for Manual Drawing:
Tools used for drawing are listed below:
Technical Drawing Board
T-Squares
Triangles
Adhesive Tape
Pencils ( HB, 2HB for thick line and 4HB for thin line )
Sandpaper
Compass
Pencil Eraser
Erasing Shield
Circle Template
Tissue Paper
Sharpener
Clean Paper
Types of Lines Used in Engineering Drawing:
Types of line and their usage are given below:
Drawing Scales:
Scale is the ratio of the linear dimension (length, size) of an element of an object in the drawing to the real linear dimension of the same element of the object.
Geometric Construction
1. Drawing Bisectors:
A geometric line which divide a line into two equal parts by drawing arc are called Bisectors.
a. Method of Bisecting A Line:
First draw the line AB.
At point A with radius more than half of distance of length AB, draw arc above and below the line AB.
Repeat the procedure at point B.
Draw line XY which is a perpendicular bisector.
b. Method of Bisecting An Arc:
First draw an arc AB.
At point A with definite radius, draw arc above and below the arc AB.
Repeat the procedure at point B.
Draw line passing through the intersected points which is a perpendicular bisector.
b. Method of Bisecting An Angle:
First draw angle <AOB.
At point O with definite radius, draw arc intersecting line OA, then at intersecting point with the same radius, draw an arc.
At point O with definite radius, draw arc intersecting line OB, then at intersecting point with the same radius, draw an arc, intersecting the previous arc.
Draw line passing through the intersected point and point O.
2. Drawing Perpendiculars:
a. Perpendicular To A Given Line With Point P:
Draw a line AB with point P.
Consider a point O in space and draw circle intersecting at point P and C.
Join C and O with a line and extends it to point Q.
Draw a line from point Q to point P which is a perpendicular.
b. Perpendicular To A Given Line From Outside Point P:
Draw a line AB with outside to that line.
Draw an arc intersecting line AB at any two points.
Without changing the radius, draw arcs with both intersected point .
Draw a line from outside point to the arc intersected point which is a perpendicular.
3. Drawing Parallel Lines:
a. Parallel Line Passing Through A Point:
Draw a line to which parallel line is to be drawn.
Set your Triangles as shown in the figure.
Slide upper triangle and by reaching that point, draw a line.
b. Parallel Line Passing Through Two Points At A Particular Distance"
Draw a line to which parallel line is to be drawn.
Select two points on the line.
With radius equal to the required distance, draw arcs with those points.
Draw a tangent line touching both small circle which is a parallel line.
4. Dividing:
a. A Line Into Required Equal Parts:
Draw s straight line AB.
From A draw AD of any length making any acute angle with AB.
With the compass mark off AD into required number of divisions lets say 7.
Join 7 to point B and then draw parallel line from points 6,5,4,3,2,1 which has to be parallel with line 7B.
b. Dividing A Circle Into 12 Equal Parts:
Draw the circle of radius R and draw diagonals AB and CD.
With point A and radius R, draw small arc at 2 and 10.
Similarly, repeat same process at points B,C,D.
Then draw lines.
5. Drawing Arcs:
a. Arc Touching Two Rectangular Lines:
Let r be the radius of required arc.
Draw rectangular lines.
Draw parallel lines to both rectangular lines at the distance of r.
Draw an arc at that intersected point O which touches both lines.
b. Arc Touching Two Straight Lines At Any Angle:
Let r be the radius of required arc.
Draw two lines at any angle.
Draw parallel lines to both lines at the distance of r.
Draw an arc at that intersected point O which touches both lines.
c. Arc Touching Tangentially A Straight Line and A Circle:
Let R be the radius of required arc.
Draw a straight line.
Draw parallel line to line at the distance of R.
Draw an arc with circle (having radius r) center at a distance R-r intersecting the line.
Draw an arc from point O.
d. Arc Touching Tangentially To Two Excluding Circles:
Let x be the radius of required arc.
Draw two circles having radii r and R.
With center O, draw an arc of radius (x+r).
With center P, draw an arc of radius (x+R) intersecting the previous arc.
With Point C, draw an arc of radius x which touches tangentially to both excluding circles.
e. Arc Touching Tangentially To One Excluding and One Including Circle:
Let x be the radius of required arc.
Draw two circles having radii r and R.
With center O, draw an arc of radius (x+r).
With center P, draw an arc of radius (x-R) intersecting the previous arc.
With Point C, draw an arc of radius x which touches tangentially to both excluding circles.
f. Arc Touching Tangentially To Two Including Circles:
Let x be the radius of required arc.
Draw two circles having radii r and R.
With center O, draw an arc of radius (x-r).
With center P, draw an arc of radius (x-R) intersecting the previous arc.
With Point C, draw an arc of radius x which touches tangentially to both excluding circles.
g. Arc Passes Through Given Three Points:
Consider three points A,B,C.
Draw lines joining AB and BC.
Bisect lines AB and CD and by extending these bisectors intersect each other.
With center O draw arc of radius OA or OB or OC.
6. Drawing Tangents:
a. Tangent To A Circle From A Given Point:
Draw a line joining O,P and D by a straight line (OP=DP).
Bisect the line OD, obtaining two intersected points from arcs.
Draw line joining these points which is tangent to the circle.
b. Common Tangent To Similar Circles (Internally):
Draw a line joining O and O1.
Draw perpendiculars PQ and RS, obtaining 4 points.
Draw lines joining P and R and Q and S which are common tangents.
b. Common Tangent To Similar Circles (Externally):
With center O and O1, draw circles of radius r.
Draw a line joining O and O1.
Bisect Line OO1, obtaining point P.
Bisect line OP, obtaining point X.
Bisect line O1P, obtaining point Y.
With center X, draw circle of radius OX or PX, giving points S and T.
With center Y, draw circle of radius O1Y or PY, giving points U and V.
Reynolds Number: Reynolds Number is the ratio of Inertial forces to the Viscous forces. By knowing this number, one can describe the flow whether the flow is laminar, turbulent or transitional flow. There are three possibilities of the range of Reynolds Number: If Reynolds number < 2100 or 2300 ⟺ Laminar Flow If Reynolds number > 4000 ⟺ Turbulent Flow If 2300 < Reynolds number < 4000 ⟺ Transitional Flow In case of different shapes other than circle, the formula for Reynolds Number remain the same however diameter involves in the formula become Hydraulic Diameter which is given by: For pipe: Critical Reynolds Number ⟾ The Reynolds number at which the flow becomes turbulent Re cr For different shapes, the hydraulic diameters are given by: Completely Filled Flow In Closed Channel: If pipe is is considered to filled completely with closed channel, then following are the conditions which...
Intersection Of Solids: Solids are obtained by the combination of of two or more basic solids. When two or more solids combine, a definite curve/line is seen at their intersection. This curve/line is called curve/line of intersection (COI / LOI) and it is the result of inter-penetration of solids. Applications Of Intersection Of Solids: Designing a sheet metal objects. Automobile Parts. Moulding patterns. Forged end of connecting road. Intersection of two contacting surface, etc. Inter-Penetration Of Solids: When one solids penetrates another solids then their surfaces intersect and at the junction of intersection a typical curve is formed, which remains common to both solids. This curve is called Curve of Intersection and it is a result of inter-penetration of solids. Cases Of Intersection Of Solids: First we need to discuss the general solution steps of how we draw intersection of solids diagram. So know, we are going to discuss the basic steps:...
Types Of Lines And Its Uses: There are three types of types on the basis of thickness and they are: Visible Lines ↝ It represents features that can be seen in the current view. Hidden Lines ↝ It represents features that cannot be seen in the current view. Center Line ↝ It represents symmetry, path of motion, centers of circles,, axis of asymmetrical parts. Dimension and Extension Lines ↝ It indicates the sizes and location of features on a drawing. Placement Of Dimension Lines: Dimension should be outside the view. Dimension should be applied to one view. Dimension should be placed in a view that shows the distance in its true length. Dimension lines should be placed, in general 10 mm (1/2 in) away from the outlines from the view. Parallel lines should be placed uniformly. Values should be midway (auto centered) between the arrow heads, except when a center-line interferes. Dime...
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