Question 8.1: Given a 4 in. × 4.6 in. compacted soil specimen prepared fro...

Given a 4 in. × 4.6 in. compacted soil specimen prepared from standard AASHTO compaction procedure.

Determining the tensile strength by use of the UP test

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From Equation (8.2) where

Diameter of soil specimen = 4 in.; height of specimen, H = 4.6 in.
b= 4/2 = 2 in. (Fig. 8.10), a = diameter of punch = 0.5 in.
K = constant depend on specimen size = 1.2 (Table 8.2)
P = maximum load obtained from test at failure condition = 200 lb then

\sigma _{t}=\frac{P}{\pi \left(KbH- a^{2} \right) }                 (8.2)

\sigma _{t} =P/\pi \left(KbH- a^{2} \right) =200/3.1416 \left[1.2\times 2\times 4.6- \left(0.5\right) ^{2} \right]
=5.9 psi = 40.6 kN/m^{2}

Table 8.2 Recommended values for parameter, K, specimen-punch size, specimen height–diameter ratio, and rate of loading
Specimen size K value
Soil Stabilized materials
Proctor mold 1.0 1.2
4 in. \times 4.6 in. (10.2 cm  \times11.43 cm)
CBR hold 0.8 1.0
 6 in.  \times7 in. (15.24 cm  \times 17.78 cm)  

 

Larger than 12 in. (0.305 cm)              0.8
Specimen-punch size: 0.2–0.3
Height to diameter ratio of 0.8–1.2
specimen:  

 

Rate of loading:

 

 

 

ASTM recommendation for
the axial strain at a
ratio of 0.5–2% of height
per minute
8.10