Question:medium

Given below are two statements, one labelled as Assertion (A) and the other labelled as Reason (R).
Assertion (A): In case of soils, compressive normal stresses are taken as positive.
Reason (R): Most of the normal stresses acting on soils are compressive in nature.
In light of the above statements, choose the correct answer from the options given below.

Show Hint

Think about whether soil grains, unlike solid materials, can carry any tensile stress at all.
  • Both (A) and (R) are true and (R) is the correct explanation of (A).
  • Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  • (A) is true but (R) is false.
  • (A) is false but (R) is true.
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Recall the opposite convention used in structural or solid mechanics for steel and concrete members, where tension is usually taken as positive because engineers are often interested in tensile failure of ductile or reinforced materials.
Step 2: Soil behaves completely differently. Because soil particles simply rest against each other with friction and interlocking and are not bonded like a solid, they cannot transmit a real tensile pull between grains, so any attempt to place soil in tension gives essentially zero or meaningless stress in the field.
Step 3: Since a soil mass in the ground is squeezed by its own weight and by whatever load sits above it, essentially every normal stress a soil element experiences in practice is a compressive push, confirming Reason (R) as a true physical statement.
Step 4: Given that compressive stress is effectively the only kind of normal stress soils really carry, it is far more convenient for engineers to define that common, dominant case as positive, which is exactly the convention stated in Assertion (A). This shows the reason given directly causes and explains the convention, not merely accompanies it as an unrelated fact.
Step 5: Both A and R are true, and R correctly explains why A is the adopted convention, so the answer is option 1.\[\boxed{\text{Both (A) and (R) true; (R) is the correct explanation of (A)}}\]
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