A single rectangular opening 10 ft in height is driven in rock having strengths of fc=18000 lb/in2 and ft= 1500 lb/in2. Rock specific gravity is 2.3. The opening is located at a depth of 2000 ft in a stress field of no lateral pressure and has a fillet ratio of 1/6. (a). Determine if the opening will fail when its width is 20 ft ? (b). What is the maximum safe width of the opening?.A single rectangular opening 10 ft (3.0 m) in height is driven in rock having strengths of fc = 18,000 lb/in2 (124 MPa) and ft=1500 lb/in2. (10.3 MPa).Rock specific gravity is 2.3.The opening is located at depth of 2000 ft (610 m) in a stress field of no lateral pressure and has a fillet ratio of 1/6 . a. Determine if the opening will fail when its width is 20 ft (6.1 m). b. Is there any benefit to reducing the width to 10 ft (3.0 m)? To 5 ft (1.5 m)? c. What is the maximum safe width of opening?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Hint: The problem is 10.10 taken from the book " introductory to mining engineering " written by "Howard L.Hartman"

A single rectangular opening 10 ft in height is driven in rock having
strengths of fc=18000 lb/in2 and ft= 1500 lb/in2. Rock specific gravity is 2.3. The opening
is located at a depth of 2000 ft in a stress field of no lateral pressure and has a fillet ratio
of 1/6.
(a). Determine if the opening will fail when its width is 20 ft ?
(b). What is the maximum safe width of the opening?.A single rectangular opening 10 ft (3.0 m) in height is driven in rock having strengths of fc = 18,000 lb/in2 (124 MPa) and ft=1500 lb/in2. (10.3 MPa).Rock specific gravity is 2.3.The opening is located at depth of 2000 ft (610 m) in a stress field of no lateral pressure and has a fillet ratio of 1/6 .
a. Determine if the opening will fail when its width is 20 ft (6.1 m).
b. Is there any benefit to reducing the width to 10 ft (3.0 m)? To 5 ft (1.5 m)?
c. What is the maximum safe width of opening?

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