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Mayamata and Building Construction (study)

by Ripan Ghosh | 2024 | 61,593 words

This page relates ‘Measurement of the Rafter (Lupa)� of the study dealing with Mayamata—an ancient Indian architectural treatise dealing with building construction (bhavana-nirmana). It forms part of “Vastuvidya�: a stream of Sanskrit technical literature encompassing village and town planning, temple architecture and other aspects like site selection, orientation, and structural arrangements aimed at promoting harmony and prosperity.

Go directly to: Footnotes.

Part 4.2 - Measurement of the Rafter (Lūpa)

[Full title: Prāsādordhva-varga (Making procedure of the roof) (2) Measurement of the Rafter (Lūpa)]

ū貹 or rafter is a particular type of structural element, extended from the ridge beam or hip to the wall plate. ū貹 supports the roof deck design. 

P.K. Acharya thus illustrated this technical term�

“A sloping and projecting member of the entablature etc. representing a continued pent roof; it is made below the cupola and its end are placed as it were suspended from the architecture and reaching the stalk of the lotus Ƿ.�[1]

ٳܱ, another treatise of ancient architecture mentioned the following verse�

atha saṃkshipya vakṣyāmo lupānā� lakṣana� vaya� | (ٳ- 10.1)

[“Now we shall concisely explain the characteristics of the ū貹.”][2]  

Number of rafters:

As per Mayamta rafters can have series of either odd numbers or even numbers. So, there should be five, seven, nine and eleven numbers of rafters in the series or it may contain four, six, eight and ten. Both of the series can be used for the human and divine dwelling.

Dimensions of the rafters:

Making of the rafters to roof construction is an important mathematical task. In this work, a square should be marked between the distance of two consoles and the width of the rafter should be calculated by half part from this distance. The four lines of this square are called as-ka, ṣṇṣa, Բ and ī.

A parallel line (ūٰ) is to be drawn below the Բ from the equal distance of the consoles and architrave (uttara). Then this Բ line should be divided into four, five, six, seven, eight, nine or ten parts depending on the total number of rafters. As a result when the Բ line is divided into by even numbers, the number of ܱ should be calculated in an odd number, and when the Բ line is divided by odd number, the ܱ must be in even number.Thereafter, a line should be drawn from the intersection points of ka and ṣaԾṣa that goes down upto edge of overhanging eave. The length of the rafter should be measured from the intersection points of ka and ṣṇṣa up to extreme point corresponding to this rafter. The other equivalent rafters can be arranged also from the ka line and measured with the corresponding hypotenuse going up to the eave.

Classification of rafters:

Five categories of rafters found in our present text. They are

  1. samadhya,
  2. ⲹ첹ṇa
  3. 첹ṇa,
  4. anukotika and 
  5. koti-rafters (corner rafters). 

But the text ٳܱ records two kinds of rafters. It is stated that:

lupānā� ṛtbhāge’pyantargamanamīrita� |
kotibhāge tu gamana� lambasūtrāt vahirgata� ||
(ٳܱ 10.21)

It means—one ṛtܱ, arranged in the middle of the structure, resembles the 󲹱ū貹 rafter. Another rafter is ṛtܱ, which may resemble the off-center (dzپܱ) and intermediate rafters (Madhykarṇa, 첹ṇa, and anukoti). 

So, according to ٳܱ the rafters could be of two types, viz., ṛt and ṛt. Dagens designated ṛtlūpa as the Ѳⲹū貹, and the other ū貹, i.e dzپܱ, 첹ṇa, 첹ṇa, and anukoti as the ṛtlūpa.

Footnotes and references:

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[1]:

P.K. Acharya, A Dictionary of Hindu Architecture, series.1 p.53

[2]:

Translated by the researcher

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