Design Analysis in Rock Mechanics, Second Edition by William G. Pariseau

By William G. Pariseau

This accomplished creation to rock mechanics treats the fundamentals of rock mechanics in a transparent and easy demeanour and discusses vital layout difficulties by way of the mechanics of fabrics. This prolonged moment variation contains an extra bankruptcy on rock bursts and bumps, an element on easy dynamics, and diverse extra examples and workouts during the chapters.

Developed for an entire category in rock engineering, Design research in Rock Mechanics, moment Edition uniquely combines the layout of floor and underground rock excavations and addresses:

  • Rock slope balance in floor excavations, from planar block and wedge slides to rotational and toppling failures
  • Shaft and tunnel balance, starting from certainly supported openings to research and layout of man-made aid and reinforcement systems
  • Entries and pillars in stratified ground
  • Three-dimensional caverns, with an emphasis on cable bolting and backfill
  • Geometry and forces of chimney caving, mix aid, and trough subsidence
  • Rock bursts and bumps in underground excavations, with a spotlight on dynamic phenomena and on quickly and occasionally catastrophic failures

The various workouts and examples familiarize the reader with fixing simple sensible difficulties in rock mechanics via numerous layout research thoughts and their purposes. helping the most textual content, appendices offer supplementary information regarding rock, joint, and composite homes, rock mass category schemes, important formulation, and an in depth literature record. the big number of difficulties on the finish of every bankruptcy can be utilized for homework assignments.

Explanatory and illustrative in personality, this quantity is fitted to classes in rock mechanics, rock engineering and geological engineering layout for undergraduate and first-year graduate scholars in mining, civil engineering, and utilized earth sciences. in addition, it is going to shape a good introduction to the topic of rock mechanics for earth scientists and engineers from different disciplines.

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Extra info for Design Analysis in Rock Mechanics, Second Edition

Sample text

Z (0,0,1) (0,1,0) Y (1,0,0) X Sketch for calculating the volume of a tetrahedron Solution: A formula cited here without proof states that the volume V = (1/6)(abc) where abc is the vector triple product, that is, V = 1 a · (b × c) = 6 1 a·d 6 d =b×c x = 0 0 y 1 0 z 0 (symbolically) 1 d = (1, 0, 0) V = 1 [(1)(1) + (0)(0) + (0)(0)] = 6 1 6 which is just one-sixth the volume of a unit cube defined by vectors a, b, and c. 19 where a triangular crack that has sides 7, 8, and 9 and corners e, f , and g cuts off a portion of the original wedge.

7 Consider a cable-bolted slope where a potential failure may occur in the form of a planar block slide and further suppose the slope is loaded by gravity only. Determine the optimum bolting angle for the cable bolts assuming all bolts are tensioned to the same force in the pattern shown in the sketch. The bolting angle η is positive counterclockwise; total bolt tension is Tb , vertical bolt spacing is h, and horizontal spacing is b units into the page. Face view Section view + + h + + Tb + + Sketch for slope bolting analysis Solution: A free body diagram showing the forces and directions is drawn first.

An assumption of 100% persistence is often justified and leads to a conservative or low estimate of the factor of safety. The reason is that wedge failures tend to be relatively small, of the order of bench height in open pit mines or about 50 ft more or less. At this scale, persistence may be locally high, that is, 100%, even though over a large distance or scale, the average persistence is less. The driving force down the line of intersection of the joint planes is the downhill component of weight when gravity only is considered.

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