Geotechnical Engineering

DHARM 480 GEOTECHNICAL ENGINEERING For a smooth vertical wall retaining a horizontal backfill, α = 90°, β = 0° and δ = 0°; KP = ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 481 20° 30° 40° –10 0° 10° 20° 30° 40° Wall friction angle, d Fric ...

DHARM 482 GEOTECHNICAL ENGINEERING +d Pa f B f R (–)qf AC W Pa yad(= – ) R W (–)qf (b) Forces on the sliding wedge (c) Force tri ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 483 ∴ Pa = γbx ψ bkx ax 2( ) .( )sin − − For the value of Pa to be ...

DHARM 484 GEOTECHNICAL ENGINEERING The relationship expressed by Eq. 13.44 is called the “Poncelet Rule” after Poncelet (1840). ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 485 f B y d y Pa (+)fd y N A C Rupture plane L x G x D Ground line ...

DHARM 486 GEOTECHNICAL ENGINEERING = BE. BD or c^2 = b.d, with the notation of Fig. 13.27 (a). This is the Poncelet rule, which ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 487 But the ratio () () bc bd − − may be transformed as follows: ( ...

DHARM 488 GEOTECHNICAL ENGINEERING Special Cases (1) β is nearly equal to φ: A special case of Poncelet’s (Rebhann’s) constructi ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 489 As usual, BC is the required rupture surface and Pa is given b ...

DHARM 490 GEOTECHNICAL ENGINEERING C Ground line y L f-line E y F K –( )f a B D yad=( + ) A y-line b –( + )fd H x x M G Rupture ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 491 the earth pressure and to locate the most dangerous rupture su ...

DHARM 492 GEOTECHNICAL ENGINEERING The steps in the construction may be set out as follows: (i) Draw the ground line, φ-line, an ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 493 Pp y (+)qf (180° –yqf– – )R W H l 1 l 2 l 3 l 4 l 5 l 6 b H 1 ...

DHARM 494 GEOTECHNICAL ENGINEERING H Hs HHss 11 G J A¢ D B Ks 2 K 1 C F E s 1 (90° – ) d Fig. 13.35 Break in the backfill surfac ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 495 Differential increase in the weight of any differential soil w ...

DHARM 496 GEOTECHNICAL ENGINEERING construction is used. It simply means that, in the force triangle, W should be taken as the w ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 497 Line Load A railway track or a long wall of building or a load ...

DHARM 498 GEOTECHNICAL ENGINEERING extended to meet the modified Culmann-curve in F 2 , the intercept G 2 F 2 equals GF. This im ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 499 First, the line load is disregarded and Poncelet construction ...