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The Shingles for a Hip Roof calculator computes the number of standard and ridge shingles for a hip roof based on the dimensions.

INSTRUCTIONS: Choose units and enter the following:

• (S) Span of Roof
• (L) Length of Roof
• (P) Pitch (choose pitch from list)
• (oH) Overhang
• (uP) Unit Price of Shingles (per bundle)

Hip Roof Shingles (sA): The calculator returns the following:

• roof area in square feet (ft²).
• number of standard bundles of shingles (33.3 ft²) to cover roof
• total cost of shingles in U.S. dollars

Note: these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

A hip roof is basically a rectangular trapezoid volume has regular trapezoids in the front and back and triangles on the sides.  The bottom and top rectangles are centered, form parallel planes and separated by the height.  Ridge shingles are used on the top ridge and on the hip ridges. This algorithm also accounts for a double row of shingle on the bottom drip edge. 

The number of roofing nails is based on the two factors, one for normal wind conditions and one for high wind conditions.  For normal wind, the algorithm uses 348 nails per 100 ft2 based on the nailing patter shown below. For high wind conditions, the algorithm uses 522 nails per 100 ft2 based on the nailing pattern below.

Single Price Survey Data

The Roofing Shingles Cost Survey list the observed price of a bundle of shingles. A bundle is equal to roughly (33 1/3 ft²) or one third of a roofing square (100 ft²). The survey includes a date, the name of the store, and the five price points for shingles: economy, low, median, high and premium.

One  should use the pricing for roofing materials that can be bought locally.  However, the following prices are for different quality grades of shingles in the United States:

• Shingle Price Survey Online Source : Lowes
• Shingle Price Survey Date: 12/22/22
  • Cost of Premium Shingles: $90.0 USD.
  • Cost of High Grade Shingles: $52.34 USD.
  • Cost of Medium Grade Shingles: $43.32 USD.
  • Cost of Low Grade Shingles: $37.98 USD.
  • Cost of Economy Grade Shingles: $36.0 USD.

All prices are for one bundle of shingles which cover 33.33 ft². 

Trapezoidal Volume (Prism) Calculators

• Surface Area of Trapezoid Volume
• Volume (displacement or capacity) of Trapezoid Volume
• Edge Length of Trapezoid Volume
• Trapezoid Column Volume
• Capacity, Surface Area and Edges of a Trapezoidal Shape

Roof Calculators

• Gabled Roof
  • Area of Gable Roof
  • 4x8 Sheathing for Gable Roof
  • Cost of Sheathing for Gable Roof
  • Purlins for a Gable Roof
  • Metal for a Gable Roof
  • Shingles for a Gable Roof
  • Cost of Shingles for a Gable Roof
  • Nails for Gable Roof Sheathing
  • Roofing Nails for a Gable Roof
• Hip Roof
  • Surface Area of a Hip Roof
  • Purlins for a Hip Roof
  • Metal for a Hip Roof
  • Shingles for a Hip Roof
  • Cost of Shingles for a Hip Roof
• Shed Roof
  • Trusses for a Shed Roof
  • 4x8s for a Shed Roof
  • Shingles for a Shed Roof
  • Cost of Shingles for Shed Roof
  • Purlins for a Shed Roof
  • Metal for a Shed Roof
  • Metal for a Shed (Roof and Walls)
• Dormers
  • Metal for Dormers
  • 4x8s for Dormers
  • Shingles for Dormers
  • Purlins for Dormers

Building Calculators

• Total Building Materials Calculator
• Pitch of a Roof - Computes angle of incline in the roof in both degrees and rise over 12" run (e.g. 26.6^o : 6/12) based on the length of the rise and run.
• Number of Trusses Needed for a Roof - number of trusses needed based on the roof width and the truss spacing.
• 4x8s needed for a roof - Calculates the number of 4x8 sheets needed to cover a roof.
• Roofing nails needed for a roof - Calculates the number of roofing nails needed for a roof in normal and high wind conditions.
• Number and Length of Metal Roof Panels - Computes the length and number of metal panels and trim pieces for a metal roof.
• Screws for a Metal Roof - Computes the number of screws needed for a metal roof.
• Number and Length of Purlins for a Roof - Computes the number of purlins for a roof based on dimensions and spacing.
• Number and Length of Rafters - Computes the number and length of rafter boards based on roof dimensions and spacing.
• Number and Length of Rafter and Collar ties - Computes the number and length of rafter ties and collar ties based on roof dimensions and spacing.
• Number and Length of wall top and bottom wall plates
• Number of Studs for a Room
• Number of Studs in a Wall
• Room Interior Area (wall and ceiling)
• Cubic Feet in a Room (volume)
• Number of 4x8 or 4x12 Sheets for a Room
• Number and Length of Floor Joists
• Number of Joist Hangers
• Compute the Cost of Floor Joists
• Compute iJoists for larger floors
• Compute the Number of 4x8 Sheets to cover the Deck or Floor
• Compute the number of Decking Boards to cover the deck or floor

Roofing Geometry Calculators

• Pitch to Slope
• Pitch to Angle
• Rise over Run to Angle
• Interface Angle
• Interface Angle from Rise over Run