Chapter 13, Problem 13.1CTP

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Figure 13.14 provides a generalized case for Rankine active pressure on a frictionless retaining wall with inclined back and a sloping granular backfill. You are required to develop some compaction guidelines for the backfill soil when *θ* =10° and *α* = 0°, 10°, and 20°. Laboratory direct shear tests on the granular soil revealed that the effective friction angle varies with the dry unit weight as follows:

The data show that the soil friction angle increases as the compacted unit weight increases. You already know from Chapter 12 that higher friction angle means better shear strength and stability. However, according to Eq. (13.38), higher unit weight also means higher active force *P _{a}* on the wall, which is not desirable. To further investigate if higher friction angle indeed has a beneficial effect, prepare a design chart by plotting the variations of

To determine

Prepare a design chart by plotting the variations of

Explanation

**Given information:**

The angle

The backfill slope angle

The dry unit weight of the soil

To soil friction angle

**Calculation:**

For

Determine the value of

Substitute

Similarly, calculate and tabulate the values of

Determine the Rankine active earth-pressure coefficient

Substitute

Similarly, calculate and tabulate the values of Rankine active earth-pressure coefficient for the remaining values of soil friction angle as in Table (1).

Determine the value

Substitute 0.402 for

Similarly, calculate and tabulate the value of

For

Determine the value of

Substitute

Similarly, calculate and tabulate the values of

Determine the Rankine active earth-pressure coefficient

Substitute

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