## Fall 2023

### Part 1: The Rotunda Dome  建筑工程代写

The dome of the Rotunda at the University of Virginia has carried on the visual legacy of the Roman Pantheon using two distinct construction types over its lifetime. Thomas Jefferson’s original design employed a laminated wood system developed by 16th century French architect / engineer Philibert del’Orme. The wood dome burned in the fire of October 1895 and was replaced, as part of the renovation by architects McKim, Meade and White, with a clay tile system designed and built by the GuastavinoFireproof Construction Company. Using the approach developed in this week’s reading about the analysis of the Houston Astrodome and the original renovation drawings of the Rotunda uploaded to Blackboard,compare results from a simplified analysis of both the De l’Orme and Guastavino domes.

De l’Orme:

• Assume meridonial ribs are (3) 2” x 6” Southern Pine spaced at 4’-0” on center
• Total Dead Load over surface of dome approximately 20 psf (includes self-weight of ribs)
• Live Load = 20 psf
• Allowable compressive stress = 1,000 psi

Guastavino:

• Built up tile / mortar thickness = 4” (120 pcf for the clay tile masonry)
• Total Dead Load over surface of dome approximately 50 psf (includes self-weight of tile masonry)   建筑工程代写
• Live Load = 20 psf
• Allowable compressive stress = 206 psi

### Part 1 Questions:

1. Calculate the axial force and stress in one of the De l’Orme ribs at its base. Compare to allowable stress given.
1. Calculate the vertical load per foot at the base perimeter of the De l’Orme dome.
2. Calculate the force in a tension ring at the base of the De l’Orme dome.
3. Calculate the in-plane compressive stress (meridonial) at the base of the Guastavino dome.Compare to allowable stress given.
1. Calculate the force in a tension ring at the base of the Guastavino dome.

### Part 2: Basilica of St. Lawrence — Asheville, NC  建筑工程代写

The Spanish Baroque masonry church was designed and completed in 1905 by Rafael Guastavino.Guastavino’s tile arch system was patented in the United States in 1885 and derives from the Catalan vault tradition in construction.

Please answer the following Questions based upon the plans and sections provided:

1. Describe the load path for gravity loads applied to the elliptical dome.
2. If the dome dead load is approximately 50 psf, and the applied uniform live load is 20 psf, estimate the load on the east-west running arch over the altar (the Chancel Arch). Include the weight of the drum wall and parapet above and come up with an approximate uniform line load on the arch.Note – just consider a reasonable tributary width from the roof plan to calculate a vertical gravity load (assume horizontal thrust from the dome is resolved by the tension ring).  建筑工程代写
1. Describe the physical behavior of the doubly curved interior arch, if functioning in taking the full load calculated in #2 above (Photo 1).
1. From the drawings, estimate the span and rise of the straight arch that rises over the doubly curvedarch above the roof level (Photo 2). Assuming simple 3-hinged arch behavior, calculate the reactions at the base of this arch.

### Part 3: Reading Assignment (for use doing Parts 2 & 3):

• Domes: Astrodome – A Structural Study by David P. Billington
• Guastavino Dome Analysis: A Comparative Approach for Jefferson’s Rotunda at the University of Virginia by Kaup and Matteo;
• In Delorme’s Manner – Harnsberger