Question Bank • QB_FM_034 MSQ • 2 Marks

Section 2: Farm Machinery

Farm Machinery

Subtopic: Forces acting on a tillage tool

Question Statement:

In soil dynamics applied to tillage tools, which of the following statements is/are correct based on Terzaghi and Hettiaratchi-Reece passive earth pressure theories?

Options:

  • (A) The theoretical failure plane angle $\beta$ in front of a flat inclined tillage blade is given by $\beta = 45^\circ - \phi/2$, where $\phi$ is the internal soil friction angle.
  • (B) Soil adhesion ($c_a$) and soil-metal friction angle ($\delta$) significantly influence the interface resistance along the tool surface.
  • (C) For narrow tillage tines (aspect ratio width/depth
    lt; 0.5$), three-dimensional crescent soil failure dominates over two-dimensional plane strain failure.
  • (D) Saturated soil shear strength is strictly governed by hydrostatic pore water suction alone with zero cohesion.

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

• The passive shear failure rupture plane forms at $\beta = 45^\circ - \phi/2$ from the horizontal (A is correct). • Soil-metal adhesion $c_a$ and friction angle $\delta$ dictate interfacial boundary shear (B is correct). • Narrow tines rupture soil in a 3D crescent pattern rather than planar 2D flow (C is correct). • Saturated soil shear strength depends on effective stress $\sigma' = \sigma - u$ and cohesion $c'$, not purely suction (D is false).
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