Found inside – Page 520In a situation like the one represented, the local factor of safety is typically lower than unity for a group of slices in the upper part of the slope and ... Found inside – Page 191997b) approximation, which compute slope stresses and strains using ... is used to back calculate the strength, assuming safety factor is equal to unity. Found inside – Page 4-60For use in determining the seismic stability of slopes , limit equilibrium ... common pseudostatic rigid body methods of evaluation will generally suffice ... Found inside – Page 2392.0 this we can conclude that rigid body stability can be accomplished by choosing the natural frequency of the rate gyroscope larger than the control ... For a ratio of the damping factors of unity , a frequency ratio 25-1 < would maintain sta2 bility of the rigid vehicle . ... The slope of the stability boundary line decreases with decreasing damping ratio ( sc / Sc ) and increasing frequency ratio ( wclwo ) . Found inside – Page 8632 shows the first of the two possible failure mechanisms - plane failure mechanism of local slope failure ( 7 ) . Region ABC translates as a rigid body with relative velocity V to the rigid body below the discontinuous surface AC . The failure ... to the surcharge load p whose magnitude can be related to the yield acceleration factor of soil weight K , by the coefficient X , which can be greater or less than unity . Found inside – Page 132... Connected Anchor point should sit on the slope of the adjacent terrain piece. ... and left-click the target icon next to the Connected Rigid Body field. Found inside – Page 125Change the value of Slope Limit to 80 and the Step Offset to 0.1. ... Step 10: Add a Rigidbody to the Sphere by selecting it in the Hierarchy and choosing ... Found inside – Page 134Rigid Body Collisions Raymond M. Brach ... by v„ also represents a linear relationship whose slope is unity and whose intercept is [i( 1 + e){\ + X). Found inside – Page 34In the case of brittle materials , even small hydrostatic loads can reduce the local factors of safety to less than unity and a ... ( Morgenstern and Price , 1965 ) The methods imply that the potential sliding mass is a rigid body , which is uncommon ... Found inside – Page 239this we can conclude that rigid body stability can be accomplished by choosing the natural frequency of the rate ... For a ratio of the damping factors of unity, a frequency ratio range of 0<< (#) would maintain staG bility of the rigid vehicle. ... The slope of the stability boundary line decreases with decreasing damping ratio ({. Found inside – Page 203Like a Rigidbody, the Character Controller (CC) is used for collision ... Similarly, the Slope Limit parameter says how big an incline is too steep and ... Found inside – Page 971The dam section is being tested for the following usual conditions of loading : Conditions of analysis Slope End of construction ... The value of the seismic coefficient is taken either on the basis of some emperical rules , or by the rigid body response ... The section is considered unsafe if the factor of safety is less than unity . Found inside – Page 399Since a great variety of conditions may lead to a failure of a soil slope due to ... The discussion here will be limited to rigid body sliding in cohesive ... Found inside – Page 1001To minimize problem dimension - ality , Shen employs a chord - slope approximation for the rigidbody dynamic terms ... vector due to distributed imbalance and product of inertias ( qx ) , ( qy ) = vector of modal coordinates ( U = unity matrix Bix ... Found inside – Page 11gain 18 unity , then the system would have a " phase margin " equal to the phase angle in excess of 180 degrees at the frequency of unity gain . ... the proportional feedback term ( K ) as the dominate term in equation 2 which causes a change of the slope to -20 dB per decade . ... The stability of the rigid - body mode is verified by observing that the gain 18 unity at a frequency of 0.00659 Hz ( unity gain ... Found insideA complete beginner's guide to game development with the powerful Unity game engine. CS Instructor and game designer, Mike Geig, offers a do-it-yourself approach to game development - with all of the main essentials covered. Found inside – Page 108The variable is linked to another parameter called Slope Limit to set the maximum verticality ... Such a useful feature is not available with a Rigidbody. This classic handbook deals with the geotechnical problems of rock slope design. Found inside – Page 138Therefore we must roll off at respectable slope through unity-gain and usually this is −20 dB/decade. We can also go through flat since the actual ... Found inside – Page 199Leverage the power of Unity and become a pro at creating mixed reality ... Like a Rigidbody, the Character Controller (CC) is used for collision detection ... Found inside – Page 198... zero intercept and a slope that does not differ significantly from unity. ... the wrist are the three-dimensional motions of a rigid body about a fixed ... Found inside – Page 11-5A slope is at critical equilibrium if , and only if , the minimum value of F is unity . ... This surface is assumed to separate two bodies of soil , one of which ( the upper one ) may move as a rigid body over the other ( the lower one ) when conditions ... Found inside – Page 407At a slope of unity , clearly the test subject needs to be positioned to within the depth tolerance or sensitivity desired from ... This argument may also hold true for some vibration studies if the subject under test is also going through a rigid body ... Found inside – Page 281For small deflections , the square of the slope ( dy / dx ) 2 can be assumed to be small compared to unity , and the ... This linearization leads to the classical beam moment - curvature equation anisms than those of a rigid - body counterpart . Found inside – Page 2392.0 this we can conclude that rigid body stability can be accomplished by choosing the natural frequency of the rate gyroscope larger than the control frequency ... For a ratio of the damping factors of unity , a frequency ratio 1.5 range of osc Wc 2 bility of the rigid vehicle . ... The slope of the stability boundary line decreases with decreasing damping ratio ( 5c / 5a ) and increasing frequency ratio ( welwg ) . Found inside – Page 65The inclined line of the „asymptotic‟ apparent mass has a slope of 1.5, leading to an exponent 'n' of 3. ... kg) portion of the rigid body mass matrix. Found inside – Page 376During the gravity loading, the stress state of the slope is defined by ... that provided a stability factor of the landslide body close to unity. Found inside – Page 297All responses start with the typical -2 slope of the rigid-body eigenmode, ... by two zeros will cause problems when the unity-gain cross-over frequency is ... Found inside – Page 381The nonlinear equation for arbitrary ring slope in each bay is not perturbed by assuming the solution to be given by the sum of the symmetric prebuckling solution and an ... A root of unity correspond to rigid body rotation of the ring . This mode ... Found inside – Page 332... near zero intercept and a slope that does not differ significantly from unity. ... dimensional motions of a rigid body about a fixed center of rotation. Found inside – Page 399If a dam is assumed to behave as a rigid body, the accelerations will of course be ... kg acts permanently on the slope material and in one direction only. Found inside – Page 316linear displacements of its ends would be equal to unity. When the rod is elongated ... The slope of the free end А of the beam becomes Δ1P = φA = X ... Found inside – Page 102The rigid body modal displacements Psji i = 1 to 6 , are time - varying in ... Among the variables were lateral velocity , vehicle incidence , slope ... Found inside – Page 8... table show the steady - state and peak values attained in the modal variables for a unity control input , mode shape ( 0 ) , and mode slope ( 0 ' ) . Found inside – Page 5353 Rock slope stability and distributed joint systems BRUCE J. CARTER AND EMERY Z. LAJTAI Departments of Civil and ... The probability of failure is expressed as the ratio of kinematically free wedges that have a factor of safety less than unity to the total number of wedges . ... of slope stability Rock slope failure may occur in a variety of ways , involving rigid body movement by translational sliding or ... Found inside – Page 69An increase in slide volume, density, and slope angle always increases the energy ... the Froude number is always less than unity and resonance coupling of ... Found inside – Page 145 The predicted and actual slope profiles at location 1 , and the location of the borehole extensometer . model node using ... Points in the cross - hatched region showed safety factors of less than unity . ... The calculation of a factor of safety against sliding , if done using some rigid body analysis , yields an average factor over ... Found inside – Page 554If the factor of safety using this method approached unity , the cross section was generally considered unsafe ... a design coefficient equal to the maximum ground acceleration corresponding to the assumption of rigid body response . Found inside – Page 93Right: final filtered data, vf, after performing rigid body rotation on data from ... Scaling ensures that the slopes have magnitudes of the order of unity ... Found inside – Page 967... 0 ( t ) = 019 , ( t ) + ( 6 ) ду where 6 ) is the rigid body mode shape which is normally taken as unity , and ( 2012 ) ay ] , - is the slope at the fuselage , 4o ( 2 ) , due to the anti - symmetric mode , for unit deflection at the wing tip . The functions 9. Found inside – Page 190Ad - Charactor Controller Sample - P O + Mesh - Pivot Global Effects " Hierarchy Physics Rigidbody Physics 2D Character Controller Cube Main Camera ... Found inside – Page 381The nonlinear large deflection equations for ring slopes are solved exactly in terms of elliptic functions to yield the prebuckling deformation state which is equal in each ring bay ... A root of unity corresponds to rigid body rotation of the ring . Found inside – Page 2392.0 this we can conclude that rigid body stability can be accomplished by choosing the natural frequency of the rate gyroscope larger than the ... For a ratio of the damping factors of unity , a frequency ratio 1.5 range of 0 < ( 1571 ) would maintain sta98199 : 1.0 WG Stable ... The slope of the stability boundary line decreases with decreasing damping ratio ( c / SG ) and increasing frequency ratio ( wolwg ) . Found inside – Page 222An increase in slide volume, density, and slope angle always increases the energy ... the Froude number is always less than unity and resonance coupling of ... Found inside – Page 214For first-person or third-person characters that you do not want affected by rigidbody physics, the Character Controller component may be just the thing. Found inside – Page 3For the soil weight , the overload coefficient is taken as unity ** . The general approach to determining the stability of a given slope described here is ... Found inside – Page 118Sliding, where the First Person Controller slides back down steep slopes, ... uses a Rigidbody to properly interact with the rest of the world. Found inside – Page 5SLOPE STABILITY A NA LYSIS If a unit cube of weight y lbs / cu ft is resting on a plane at io to the horizontal ( see Figure 3 ) ... For a safety factor of unity these forces cancel out when = M tan i . ... Hence , if the volume of rock can be regarded as a rigid body sliding on the plane at io , the total excess shear force , Fe , per unit ... Found inside – Page 723The material properties of the jointed rock slope model are listed in Table 1. ... value of k01 equal to unity and the value of g0 automatically controlled. Found inside – Page 221However , as per this simple model , the slope of the linear portions of the data in Figs . 11.17 through 11.22 should be exactly unity . It may be seen in the figures that the slope is actually noticeably less than unity . This mismatch in the slope ... ) portion of the stability boundary line decreases with decreasing damping ratio ( 5c / 5a and... Anisms than those of a rigid - body counterpart filtered data, vf after. 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