Kalakuleita Māʻolunga ʻo e ʻAto

Ko e mahino ki he māʻolunga ʻo ho ʻato ʻoku mahuʻinga ki ha faʻahinga polokalama ʻato pē. Tatau ai pe pe ko ha tufunga fakapalofesinale, konituleita, pe ko ha fie ngaohi paʻasi, ʻoku fakapapauʻi ʻe hono fakatonu totonu ʻo e māʻolunga ʻo ho ʻato ʻa hoʻo fili ʻo e ngaahi meʻa ʻato totonu mo e fenāpasi mo e ngaahi lao langa fakalotofonua. ʻI he Kalakuleita Māʻolunga ʻo e ʻAto ʻa Chippy Tools, ʻoku ʻikai toe faingofua ange ʻa hono lau ʻo e māʻolunga ʻo e ʻato—ʻoku poupouʻi he taimi ni ʻa e fua metuliki mo e imipealiale fakatouʻosi.

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Mahino ki he Māʻolunga ʻo e ʻAto

Ko e Hā ʻa e Māʻolunga ʻo e ʻAto?

Ko e māʻolunga ʻo e ʻato ʻoku ʻuhinga ia ki he fakafaʻahi pe ko e māʻolunga ʻo ha ʻato. ʻOku lau ia ko e fakatatau ʻa e hake fakahangatonu ki he fakahātafa hangatonu. ʻI he lea faingofua, ko e anga ʻo e hake ʻa e ʻato ki he fua taki taha ʻo e hala fakahātafa. Ko e fakatātā:

  • ʻI he ʻuta imipealiale: Ko ha ʻato ʻoku hake ʻi he ʻinisi ʻe 6 ki he ʻinisi ʻe 12 taki taha ʻo e hala fakahātafa ʻoku ʻi ai ha māʻolunga 6/12.
  • ʻI he ʻuta metuliki: Ko ha ʻato ʻoku hake ʻi he 150 mm ki he 300 mm taki taha ʻo e hala fakahātafa ʻoku ʻi ai ha māʻolunga 1/2.

ʻE lava foki ke fakahā ʻa e māʻolunga ʻo e ʻato ʻi he tikilī. Ko e fakatātā, ko ha tuliki ʻato 45 tikilī ʻoku fakahā ai ha ʻato māʻolunga. ʻOku ma’u ʻa e Kalakuleita Māʻolunga ʻo e ʻAto ʻa Chippy Tools ʻi loto he ʻepi ʻi he tafaʻaki Māʻolunga.

Ko e Hā ʻOku Mahuʻinga ai ʻa e Māʻolunga ʻo e ʻAto?

ʻOku kaunga ʻa e māʻolunga ʻo ha ʻato ki hono malava ke holoki ʻa e vai, matuʻuaki ʻa e havili, mo tauhi ʻa e sino’i sinou kuo tānaki. ʻOku ʻomi ʻe ha māʻolunga ange ha holoki vai lelei ange mo ha liaki sinou, ʻa ia ʻoku mahuʻinga ʻi he ngaahi vahefonua ʻoku lahi ai ʻa e sinou. ʻI he tafaʻaki ʻe taha, ko e ngaahi ʻato tafangafanga pe ngaahi ʻato māʻolunga siʻi ʻe malava ke fehangahangai mo e ngaahi palopalema ʻo e vai tānaki pea fiemaʻu ha ngaahi meʻa ʻato pau ke taʻofi ʻa e mahuhuhu.

Fua ʻo e Māʻolunga ʻo e ʻAto

Ngaahi Meʻangāue Fiemaʻu

  • Tepi Fua (metuliki mo imipealiale)
  • Speed Square pe Protractor
  • Level

Anga ʻo Hono Fua ʻo e Māʻolunga ʻo e ʻAto

Founga 1: Ngāueʻaki ʻa e ʻUta Imipealiale

  1. Hū ki he ʻAto ʻi he Malu: Fakamuʻomuʻa maʻu pē ʻa e malu ʻi hoʻo hū ki ho ʻato.
  2. Fua ʻa e Hala Fakahātafa: Tuku hoʻo level ʻi he ʻato pea fakapapauʻi ʻoku toka. Faka’ilongaʻi ha hala fakahātafa ko e ʻinisi ʻe 12.
  3. Fua ʻa e Hake Fakahangatonu: ʻAki hoʻo tepi fua, fua ʻa e hake fakahangatonu mei he ngataʻanga ʻo e level ki ʻolunga ʻi he tuʻa lalo ʻo e ʻato. Ko e fakatātā, te ke fua ha hake ko e ʻinisi ʻe 6.
  4. Lau ʻa e Māʻolunga ʻo e ʻAto: Ko e fakatatau ʻa e hake fakahangatonu ki he hala fakahātafa ʻe ʻomi ai ʻa e māʻolunga ʻo e ʻato (hangē ko e 6/12).

Founga 2: Ngāueʻaki ʻa e ʻUta Metuliki

  1. Hū ki he ʻAto ʻi he Malu.
  2. Fua ʻa e Hala Fakahātafa: Faka’ilongaʻi ha hala fakahātafa ko e 300 mm.
  3. Fua ʻa e Hake Fakahangatonu: Fua ʻa e hake fakahangatonu mei he ngataʻanga ʻo e level ki ʻolunga ʻi he tuʻa lalo ʻo e ʻato. Ko e fakatātā, ko ha hake ko e 150 mm.
  4. Lau ʻa e Māʻolunga ʻo e ʻAto: Ko e fakatatau ʻa e hake fakahangatonu ki he hala fakahātafa (hangē ko e 150 mm / 300 mm = 1/2 māʻolunga).

Liliu ʻo e Māʻolunga ki he Tikilī

Ke ma’u ʻa e tuliki ʻato ʻi he tikilī:

  • Ngāueʻaki ʻa e fomula: Tuliki=arctan⁡(Hake/Fakahātafa)
  • Ki ha māʻolunga 6/12: Tuliki=arctan⁡(6/12)=26.57∘
  • Ki ha māʻolunga 150 mm / 300 mm: Tuliki=arctan⁡(150/300)=26.57∘

Ngāueʻaki ʻo ha Speed Square pe Protractor

Ko ha speed square pe protractor ko ha meʻangāue ʻaonga ki hono vave hono fakatonu ʻo e tuliki ʻo e māʻolunga ʻo ho ʻato.

  • Speed Square: Tuku ʻa e poini fakatafoki ki he ʻato pea lau ʻa e tuliki hangatonu.
  • Protractor: Fakahangatonuʻi ki he funga ʻo e ʻato ke fua ʻa e tuliki.

Lau ʻo e Māʻolunga ʻo e ʻAto ʻaki ʻa Chippy Tools

Fakafaingofua ʻa e Ngaahi Lau

Ko hono lau fakanima ʻo e māʻolunga ʻo e ʻato ʻe malava ke fakamoleki taimi mo fai ha ngaahi fehālaaki. ʻOku fakafaingofuaʻi ʻe he Kalakuleita Māʻolunga ʻo e ʻAto ʻa Chippy Tools ʻa e founga ni. Hū ʻa hoʻo hake fakahangatonu mo e hala fakahātafa ʻi he ʻuta metuliki pe imipealiale, pea ʻe ʻomi leva ʻe he ʻepi ʻa e māʻolunga mo e tuliki ʻo ho ʻato.

Ngaahi Lelei ʻo e Ngāueʻaki ʻo Chippy Tools

  • Ngaahi Fua Totonu: Fakapapauʻi ʻa e ngaahi fua pau ki hoʻo polokalama ʻato.
  • Saivi ʻa e Taimi: Lau vave taʻe ha matematika fakanima.
  • Poupouʻi ʻa e Ngaahi ʻUta Lahi: Liliu malū ʻi he ngaahi ʻuta metuliki mo e imipealiale.
  • Fōtunga Faingofua: Faingofua ke ngāueʻaki, neongo ki ha kau kamata.

Ngaahi Meʻa ʻOku Kaunga ki he Māʻolunga ʻo e ʻAto

Ngaahi Meʻa Fakanātula

  • Ngaahi Vahefonua ʻOku Lahi ʻa e Sinou: ʻOku tokoni ʻa e ngaahi māʻolunga ange ke liaki ʻa e sinou ke taʻofi ʻa e kavenga fuʻu lahi.
  • Ngaahi Havili Malohi: ʻOku lelei ange ke ʻi ai ha māʻolunga siʻi ʻi he ngaahi feituʻu ʻoku lahi ai ʻa e ngaahi afā.
  • ʻUha: ʻOku ʻaonga ʻa e māʻolunga ange ki he ngaahi feituʻu ʻuha lahi ki he liaki lelei ʻo e vai.

Fakaʻofoʻofa

ʻOku kaunga mātoʻato ʻa e māʻolunga ʻo ha ʻato ki he sio fakalūkufua ʻo ha fale. ʻOku sai’ia ʻa e ngaahi faʻahinga tāoʻi fakalangilangi kehekehe ʻi he ngaahi māʻolunga kehekehe:

  • Ngaahi ʻAto Tafangafanga: Masani ʻi he ngaahi fakatuʻutuʻu fakaeonopoō, ʻoku fa’a siʻi hifo ʻi he māʻolunga 1/12 (5°).
  • Ngaahi ʻAto Faʻahi: ʻOku fa’a fakahā ʻe he ngaahi ʻapi tukufakaholo ʻa e ngaahi māʻolunga masani mei he 4/12 (18°) ki he 9/12 (37°).

Ngaahi Meʻa ʻAto mo e Māʻolunga ʻo e ʻAto

Fili ʻa e Ngaahi Meʻa ʻAto Totonu

ʻOku fakatonu ʻe he māʻolunga ʻo e ʻato ʻa e ngaahi meʻa ʻato fe’unga:

  • Ngaahi ʻAto Māʻolunga Siʻi (Siʻi hifo ʻi he 3/12 pe 14°): Fiemaʻu ha ngaahi meʻa hangē ko e ngaahi membrane lapa pe ko e fakakai ʻato ke taʻofi ʻa e mahuhuhu.
  • Ngaahi Māʻolunga Ange: ʻE lava ke ngāueʻaki ai ha ngaahi meʻa hangē ko e ngaahi shingle ʻasifalate, ngaahi tile, pe ko e ngaahi ʻato metala.

Anga ʻo e Kaunga ʻa e Māʻolunga ki hono Fili ʻo e Ngaahi Meʻa

  • Ngaahi ʻAto Tafangafanga: ʻOku tuʻu ki he tuʻutāmaki ʻo e tānaki ʻa e vai; fiemaʻu ha ngaahi meʻa taʻe-hū vai.
  • Ngaahi Māʻolunga Ange: ʻOku fakangofua ai ha ngaahi meʻa lahi ange koeʻuhi ko e liaki vai mo e sinou lelei ange.

Ngaahi Tuʻutuʻuni Fakapoʻuli ki hono Lau ʻo e Māʻolunga ʻo e ʻAto

Ngāueʻaki ʻa e Founga Aka Tapafā ki he Loloa ʻo e Laupou ʻAto

Ki he ngaahi ʻato fihi, ʻe fiemaʻu ke ke lau ʻa e loloa ʻo e laupou ʻato ʻaki ʻa e tuʻunga ʻa Pythagoras: Loloa Laupou ʻAto = Aka Tapafā((Hala Fakahātafa)² + (Hake Fakahangatonu)²)

  • Fakatātā Imipealiale: Kapau ko e hala fakahātafa ko e futa ʻe 12 mo e hake fakahangatonu ko e futa ʻe 6: Loloa Laupou ʻAto = Aka Tapafā(144+36) = Aka Tapafā(180) ≈ 13.42 futa
  • Fakatātā Metuliki: Kapau ko e hala fakahātafa ko e mita ʻe 3 mo e hake fakahangatonu ko e mita 1.5: Loloa Laupou ʻAto = Aka Tapafā(9+2.25) = Aka Tapafā(11.25) ≈ 3.35 mita

Fakakaukau ki he Ngaahi Lao Langa Fakalotofonua

Sivi maʻu pē ʻa e ngaahi lao langa fakalotofonua ki he māʻolunga ʻato siʻi taha ʻoku fiemaʻu. ʻOku fakapapauʻi ʻe he fe’unga ʻa e mālohi fakalāngapu ʻo e ʻato mo e malu ʻo e fale.

  • Fakatātā ʻo e UK: ʻOku fiemaʻu ʻe ha ngaahi lao fakalotofonua niʻihi ha māʻolunga siʻi taha ʻo e 17.5 tikilī ki he ngaahi meʻa ʻato pau.
  • Fakatātā ʻo ʻAositelēlia: ʻOku fa’a fiemaʻu ʻe he ngaahi ʻato metala ha māʻolunga siʻi taha ʻo e 5 tikilī.

Kamata hoʻo Polokalama ʻAto mo Chippy Tools

Ko hono fakatonu totonu ʻo ho māʻolunga ʻo e ʻato ʻoku mahuʻinga ki he lavameʻa ʻo hoʻo polokalama ʻato. ʻOku ʻomi ʻe Chippy Tools ha fakakaukau ʻo e ngaahi kalakuleita, kau ai ʻa e Kalakuleita Māʻolunga ʻo e ʻAto mo e Kalakuleita Fakafaʻahi ʻo e ʻAto, ke fakafaingofuaʻi ai ʻa e founga ni—ʻoku poupouʻi he taimi ni ʻa e ʻuta metuliki mo e imipealiale fakatouʻosi.

Try the Kalakuleita Māʻolunga ʻo e ʻAto

Download Chippy Tools and start calculating in seconds. Works offline, supports metric and imperial.

Ngaahi Fehuʻi Maʻae Fakatotolo

Fiemaʻu ha tokoni? Fetuʻutaki kimautolu

Anga ʻo Hoʻo Ma'u ha Māʻolunga 4/12 ki ha ʻAto?
Ke ma'u ha māʻolunga 4/12, ʻoku fiemaʻu ke hake ʻa e ʻato ʻi he ʻinisi ʻe 4 (100 mm) ki he ʻinisi ʻe 12 taki taha (300 mm) ʻo e hala fakahātafa.
Ngaahi Sitepu:
  1. Fua: Ki he ʻinisi ʻe 12 taki taha (300 mm) ʻo e hala fakahātafa, faka'ilongaʻi ha hake fakahangatonu ko e ʻinisi ʻe 4 (100 mm).
  2. Ngāueʻaki ʻa e Ngaahi Meʻangāue: Ngāueʻaki ha tepi fua mo ha speed square ke fakapapauʻi ʻa e ngaahi fua totonu.
  3. Fakapapauʻi ʻaki ʻa Chippy Tools: Hū hoʻo ngaahi fua ki he Kalakuleita Māʻolunga ʻo e ʻAto ʻa Chippy Tools ke fakapapauʻi.
Ko e Hā ʻa e Māʻolunga ʻo ha ʻAto Tikilī ʻe 30?
Ko e tuliki ʻato tikilī ʻe 30 ʻoku fakahoa ki ha māʻolunga nai ko e 7/12.
Tapau:
Māʻolunga=tan⁡(Tuliki ʻi he Tikilī)×12
Māʻolunga=tan⁡(30∘)×12≈6.93/12
Ko e Hā ha Māʻolunga 2/12 ʻi he Tikilī?
Ko ha māʻolunga 2/12 ʻoku nai ʻi he 9.46 tikilī. Lau:
Tuliki=arctan⁡(2/12)=arctan⁡(0.1667)≈9.46∘
ʻE malava ke kehe ʻa e māʻolunga lahi taha mo siʻi taha ʻi he ngaahi lao langa fakalotofonua, ʻi he ngaahi vahefonua ʻi he funga ʻo māmani. Ko ho fatongia ke fakapapauʻi ʻoku fenāpasi ʻa e ola ʻoku ʻomi ʻe Chippy Tools mo e ngaahi lao langa kotoa. ʻE malava ke kehe ʻa e māʻolunga taumuʻa, māʻolunga lahi taha, mo e māʻolunga siʻi taha ʻi he feituʻu ʻi he funga ʻo māmani naʻe ako ai koe; ʻoku ngāueʻaki fakahōkule'a ʻe he kalakuleita sitepu ʻa Chippy Tools ha māʻolunga taumuʻa ko e milimita ʻe 180 pe ʻinisi ʻe 7 ³/₃₂; māʻolunga lahi taha ko e milimita ʻe 190 pe ʻinisi ʻe 7 ⁷/₁₆; mo e māʻolunga siʻi taha ko e milimita ʻe 130 pe ʻinisi ʻe 5 ¹/₈.
Ko e Hā ha Kalakuleita Māʻolunga ʻAto 6/12?
Ko ha kalakuleita māʻolunga ʻato 6/12 ʻoku tokoni kiate koe ke ke fakatonu ʻa e hake mo e fakahātafa ʻo e ʻato ki ha māʻolunga 6/12. ʻI Chippy Tools, ʻe lava ke ke:
Hū: Hū ʻa e hake pe ko e fakahātafa.
Lau: ʻOku lau ʻe he ʻepi ʻa e fua ʻoku ʻikai ʻilo mo ʻomi ʻa e tuliki ʻo e māʻolunga.
Fakatātā Metuliki: Ki he 300 mm taki taha ʻo e fakahātafa, ko e hake ko e 150 mm.
ʻOku ʻateā ʻa e Kalakuleita Māʻolunga ʻa Chippy Tools ʻi he Android?
ʻI he tuʻunga ko ʻeni ʻoku kei ʻateā pē ʻa e kalakuleita Māʻolunga ʻa Chippy Tools ʻi he ʻepi iOS. ʻOku mau palani ke tānaki atu ʻa e fōtunga ni ki he Android ʻi he kahaʻu.