Geotechnical Engineering

DHARM 360 GEOTECHNICAL ENGINEERING The calculations are best performed in the form of a table as given below: Table 10.3 Data fo ...

DHARM STRESS DISTRIBUTION IN SOIL 361 Kw is Westergaard’s influence coefficient, the variation of which with (r/z) is shown in F ...

DHARM 362 GEOTECHNICAL ENGINEERING a state of plane strain; that is, the strains and stresses in all planes normal to the line o ...

DHARM STRESS DISTRIBUTION IN SOIL 363 σx and τxz may be also derived and shown to be: σx = (^222) π ..cos.sinq θθ z ′ ...(Eq. 10 ...

DHARM 364 GEOTECHNICAL ENGINEERING The previous case of line load may be applied and integration used to obtain the stresses at ...

DHARM STRESS DISTRIBUTION IN SOIL 365 According to these equations the principal stresses for a given value of q depend solely o ...

DHARM 366 GEOTECHNICAL ENGINEERING Since the principal stresses are known from equations 10.30 and 10.31, the maximum shear stre ...

DHARM STRESS DISTRIBUTION IN SOIL 367 δσz = 3 2 3 2252 (. ) . ()/ qA z rz δ π + The stress dσz due to the entire ring is given b ...

DHARM 368 GEOTECHNICAL ENGINEERING If θ is the angle made by OA with the tangent of the periphery of the loaded area from A, σz ...

DHARM STRESS DISTRIBUTION IN SOIL 369 B=2a q/unit area 0 a 2a 3a 4a 0.9 q 0.8 q 0.7 q 0.6 q 0.5 q 0.4 q 0.2 q 0.3 q 0.15 q 0.1 q ...

DHARM 370 GEOTECHNICAL ENGINEERING = q a z a z io 1 1 1 1 2 32 2 32 +F HG I KJ R S | T| U V | W| − +F HG I KJ R S | T| U V | W| ...

DHARM STRESS DISTRIBUTION IN SOIL 371 B z q/unit areaL m= B/z n = L/z Fig. 10.15 Vertical stress at the corner of a uniformly lo ...

DHARM 372 GEOTECHNICAL ENGINEERING by four, by the same principle of superposition; the formula may be generalised by making the ...

DHARM STRESS DISTRIBUTION IN SOIL 373 The principle of superposition may be conveniently employed to compute the stress beneath ...

DHARM 374 GEOTECHNICAL ENGINEERING If the Poisson’s ratio, ν, is taken as zero, this reduces to: σz = (/ )cotq mnmn 2 1 2 1 2 1 ...

DHARM STRESS DISTRIBUTION IN SOIL 375 space causes a stress of q/10 at a point beneath the centre at the specified depth z, sinc ...

DHARM 376 GEOTECHNICAL ENGINEERING now represents 5 m and the scale is therefore 1 cm = 1 m (similarly, if z = 20 m, the scale b ...

DHARM STRESS DISTRIBUTION IN SOIL 377 Q 2 Q 3 Q 1 Q 4 B R 1 R 4 R 2 R 3 sA z z 10 .8 Approximate Methods Approximate methods are ...

DHARM 378 GEOTECHNICAL ENGINEERING B q/unit area L 1 2 1 2 szav (B+z) Fig. 10.21 Two is to one method 10.9 ILLUSTRATIVE EXAMPLES ...

DHARM STRESS DISTRIBUTION IN SOIL 379 Example 10.2: A load 1000 kN acts as a point load at the surface of a soil mass. Estimate ...