1- Following data are given for a direct shear test conducted on dry sand: Normal stress: 120 lb/ft² and shear stress at failure: 43 lb/ft² a) Determine the angle of friction, o' b) For a normal stress of 220 lb/ft², what shear force is required to cause failure? c) What are the principal stresses at failure? (for the loads from part b) d) What is the inclination of the major principal plane with the horizontal? (for the loads from part b)

1- Following data are given for a direct shear test conducted on dry sand: Normal stress: 120 lb/ft² and shear stress at failure: 43 lb/ft² a) Determine the angle of friction, o' b) For a normal stress of 220 lb/ft², what shear force is required to cause failure? c) What are the principal stresses at failure? (for the loads from part b) d) What is the inclination of the major principal plane with the horizontal? (for the loads from part b)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Test for Determination of Shear Strength

The term shear strength is often associated with the soil. Shear strength is defined as the resistance to the deformation of soil particles due to the continuous action of shear stress. In short, shear strength is the maximum shear stress that a soil can sustain.

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1- Following data are given for a direct shear test conducted on dry sand: Normal stress: 120 lb/ft² and shear stress at
failure: 43 lb/ft²
a) Determine the angle of friction, o'
b) For a normal stress of 220 lb/ft², what shear force is required to cause failure?
c) What are the principal stresses at failure? (for the loads from part b)
d) What is the inclination of the major principal plane with the horizontal? (for the loads from part b)

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At a location where the ground surface is horizontal, the vertical stress at one point in the underlying soil deposit is 190 kPa and the horizontal stress is 76 kPa. If these stresses represent principal stresses, what is the maximum shear stress passing through the point? What is the value of the normal stress on the plane of maximum shear?
a. A shear box test carried out on a soil sample gave the following results ✓ Vertical load [kg] 36.8 73.6 110.4 147.2 Gauge reading for proving 16 26 35 44 (shearing) ring [μm] If the shear box is 60 mm square and the proving ring constant/factor is 20 N/μm, determine the apparent cohesion and angle of internal friction for this soil. HINT: Determine normal stress from vertical load readings and shear stress from proving ring readings
8) Answer the ff: a) If the magnitude of the two loads is combined as one, what is the horizontal distance of the said load given that point A is at the same depth and that it experiences the same vertical stress increase given by the set-up? b) The stress contributed by q1 is: c) The total increase in vertical stress is: d) The stress contributed by q2 is: e) What is the equivalent horizontal load if it is located 3 meters away from point A given that the said point experiences the same vertical stress increase given by the set-up? Note: Point A is at the same depth
At one point in a soil mass, the minor principal stress is 74 kPa. What is the maximum value possible for the major principal stress at this point if the shear stress cannot exceed 64 kPa?