Geotechnical Engineering

DHARM 460 GEOTECHNICAL ENGINEERING Pp = 1 2 KH^2 p..γ ...(Eq. 13.11) This may be taken to act at a height of (1/3)H above the ba ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 461 H 2 = depth of fill above water table (taken to be moist), γ = ...

DHARM 462 GEOTECHNICAL ENGINEERING KHag Cohesionless backfill (unit weight : )g H z q Kqa H=q/e g Kqa KHag K (H+H )aeg K H (= H ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 463 H b Unit widths v sl = sl b sv Cohesionless fill (unit wt. : ) ...

DHARM 464 GEOTECHNICAL ENGINEERING ()/ ()/ σσ σσ 13 13 2 2 − + = sin φ or (σ 1 – σ 3 ) = (σ 1 + σ 3 ) sin φ ...(Eq. 13.13) OG = ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 465 If the backfill is submerged, the lateral pressure due to the ...

DHARM 466 GEOTECHNICAL ENGINEERING 2c/ NÖ f g.zc s (^3) c s 3 A D H G F f III IV K O¢ O f (45° – /2) f (45° – /2) f (90° – )f E ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 467 or σ (^3) c = γ φ φ . tan ( / ) tan( / ) zc (^2452) 2 °+^452 − ...

DHARM 468 GEOTECHNICAL ENGINEERING The total active thrust per unit length of the wall is obtained by considering a net area of ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 469 Substituting for zc from Eq. 13.26, Pa = γ (^2) φ γ φ φ γ φ 2 ...

DHARM 470 GEOTECHNICAL ENGINEERING E C (45° – /2) f (45° – /2) f t tsf=c+ tan f c O A f Mohr’s circle for cohesionless soil ( )I ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 471 Coulomb’s theory considers the soil behind the wall as a whole ...

DHARM 472 GEOTECHNICAL ENGINEERING When the soil wedge is at incipient failure or the sliding of the wedge is impending, the th ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 473 C Surface of the fill Rupture surface f-line Wedge W f f H H/3 ...

DHARM 474 GEOTECHNICAL ENGINEERING Pa y yad=( – ) W R (180° –yqf– + ) N (–)qf f S R W Sliding wedge B b Ruptureplane or sliding ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 475 The value of Pa so obtained is written as Pa = 1 2 1 2 2 2 γ 2 ...

DHARM 476 GEOTECHNICAL ENGINEERING For maximum value of Pa, ∂ ∂θ Pa = 0 ∴ ∂ ∂θ Pa = 1 2 γ^2220 θφ θ θ θφ H − − + − L N M M O Q P ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 477 and passing through the heel of the wall; for each trial surfa ...

DHARM 478 GEOTECHNICAL ENGINEERING The angle of wall friction, δ, will not be greater than φ; at the maximum it can equal φ, for ...

DHARM LATERAL EARTH PRESSURE AND STABILITY OF RETAINING WALLS 479 B b W Sliding wedge D R N f S (+)qf H Ppyyd(= + ) W (180° –yqf ...