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Question 1
ప్రశ్న 1
A square footing is progressively loaded on soil until the supporting ground develops a bearing-capacity shear failure. Which term denotes the gross average pressure at the foundation base at that limiting condition?
Explanation:
Gross ultimate bearing capacity is the average contact pressure at which the supporting soil reaches a shear-failure condition. It is a limiting strength condition rather than a routine working pressure. The term gross means that the pressure has not been reduced by the overburden removed during excavation. Net ultimate pressure is obtained by subtracting the initial overburden pressure at foundation level under the adopted convention. A design working pressure must additionally satisfy safety and settlement requirements.
వివరణ:
Question 2
ప్రశ్న 2
A shallow footing rests on dense sand, and its load-settlement curve exhibits a distinct peak followed by appreciable ground heave and well-developed failure surfaces reaching the ground surface. Which failure mechanism is indicated?
Explanation:
General shear failure typically develops a relatively continuous failure mechanism extending toward the ground surface. Dense sand and stiff soils are more likely to exhibit this mechanism than very loose soils. Pronounced heaving and a relatively clear peak in the load-settlement response are characteristic indicators. The footing may experience comparatively abrupt movement as its ultimate resistance is reached. Actual behaviour also depends on footing geometry, embedment, layering and loading conditions.
వివరణ:
Question 3
ప్రశ్న 3
A trial footing on moderately compressible soil develops partial shear surfaces, modest bulging alongside the footing and a gradual load-settlement response without a sharply defined peak. Which classification is most appropriate?
Explanation:
Local shear is intermediate between idealized general shear and punching shear failures. Its failure surfaces are incompletely developed and may not reach the ground surface. Soil compression accompanies the development of shear deformation. The load-settlement response is generally less sharply peaked than in classical general shear. Such behaviour is possible in relatively loose or moderately compressible foundation deposits.
వివరణ:
Question 4
ప్రశ్న 4
A footing on very loose saturated granular soil undergoes substantial downward penetration, with nearly vertical shearing around its perimeter and little visible surface heave. What is the most likely idealized failure mode?
Explanation:
Punching shear involves pronounced penetration of the footing into the supporting soil. Deformation tends to remain concentrated close to and beneath the footing. Well-defined shear surfaces extending to the ground surface and prominent heave may be absent. This response is associated with loose or highly compressible soils and can occur in other particular geometries. A field assessment should consider stratigraphy and the measured load-settlement behaviour before assigning the failure mode.
వివరణ:
Question 5
ప్రశ్న 5
An engineer compares plate-load responses from dense sand and loose sand under otherwise similar testing conditions. Which interpretation of failure indication is most defensible?
Explanation:
Dense sand can mobilize shear resistance with a relatively distinct peak and ground heave. Loose sand generally undergoes greater compression and may show progressive failure. A local or punching mechanism may therefore lack a clear ultimate-pressure peak in a load-settlement record. Failure interpretation may require an adopted deformation criterion where no distinct maximum exists. Neither mode of response removes the need to check allowable settlement.
వివరణ:
Question 6
ప్రశ్న 6
A proposed footing bears on a dense sand crust only 0.8 m thick, underlain by very soft clay. Which approach to selecting the governing bearing-capacity failure mechanism is appropriate?
Explanation:
A strong surficial layer does not guarantee sufficient foundation resistance when a weak stratum lies close beneath it. The loaded footing may punch through the upper layer into the underlying clay. The soft clay may also contribute substantial settlement even if a simplified surface-layer capacity is high. Investigations should establish layer thicknesses and appropriate strength and compressibility parameters. A layered-ground analysis is more defensible than assuming a homogeneous dense sand mass.
వివరణ:
Question 7
ప్రశ్న 7
A foundation base lies 2 m below a level ground surface in homogeneous soil of total unit weight 18 kN/m3 above the water table. If the gross applied contact pressure is 360 kPa, what is the net applied pressure after deducting the excavated overburden?
Explanation:
The original total overburden pressure at the founding level is gamma times embedment depth. It equals 18(2) = 36 kPa in this case. Net applied pressure represents the additional contact pressure relative to the original overburden condition. Therefore the net pressure is 360 - 36 = 324 kPa. The calculation uses the stated level-ground and uniform-unit-weight assumptions.
వివరణ:
Question 8
ప్రశ్న 8
For a shallow footing, the gross ultimate bearing pressure is 600 kPa, and the original total overburden pressure at the base is 40 kPa. Under the conventional net-pressure definition, what is the net ultimate bearing pressure?
Explanation:
Gross ultimate pressure includes the reference pressure associated with the existing overburden at founding depth. Net ultimate pressure is the gross ultimate pressure less that original overburden. The specified original overburden is 40 kPa. Subtracting gives 600 - 40 = 560 kPa. This is still an ultimate resistance and must not be confused with a safe or allowable working pressure.
వివరణ:
Question 9
ప్రశ్న 9
A shallow footing has calculated net ultimate bearing capacity of 540 kPa. If a factor of safety of 3.0 is applied to the net ultimate value against shear failure, what is the net safe bearing capacity?
Explanation:
The factor of safety against bearing shear failure is applied to the stated net ultimate bearing pressure. The net safe pressure is therefore q_net,ult divided by the specified factor of safety. Calculation gives 540/3 = 180 kPa. This criterion addresses shear failure only and does not independently guarantee acceptable settlement. The permitted working pressure can be lower if a settlement restriction governs.
వివరణ:
Question 10
ప్రశ్న 10
A footing has gross ultimate bearing pressure 600 kPa and initial overburden pressure at founding level 60 kPa. If the factor of safety on net ultimate shear resistance is 3.0, what is the corresponding gross safe pressure against shear?
Explanation:
The net ultimate bearing pressure is 600 - 60 = 540 kPa. Dividing the net ultimate value by the shear factor of safety gives net safe pressure of 540/3 = 180 kPa. Gross safe pressure is obtained by restoring the original overburden pressure. Hence gross safe pressure is 180 + 60 = 240 kPa. Directly dividing the gross ultimate value by three would not follow the specified net-safety convention.
వివరణ:
Question 11
ప్రశ్న 11
A foundation has net safe bearing pressure of 250 kPa from a shear-failure check, while the maximum net pressure satisfying its specified settlement limit is 160 kPa. What is its allowable net bearing pressure under the stated dual criterion?
Explanation:
A satisfactory footing must meet both shear-safety and serviceability requirements. The net safe pressure derived from shear is 250 kPa. The pressure compatible with the specified settlement limit is only 160 kPa. The allowable net pressure is the smaller of these two values, which is 160 kPa. Bearing strength alone does not make the larger pressure acceptable when settlement would be excessive.
వివరణ:
Question 12
ప్రశ్న 12
The net safe bearing pressure against shear is 240 kPa, and the net pressure that would cause the permitted settlement is 320 kPa. Which allowable net pressure and governing criterion are correct?
Explanation:
The allowable net pressure must satisfy the prescribed shear and settlement criteria simultaneously. The net safe bearing pressure is 240 kPa. The settlement-based limit is higher at 320 kPa. Therefore shear safety controls, and allowable net pressure is 240 kPa. The settlement-based value is not an alternative permission to exceed the shear-safety limit.
వివరణ:
Question 13
ప్రశ్న 13
For a level homogeneous foundation site, the allowable NET contact pressure is 170 kPa and original overburden at foundation level is 36 kPa. Using the same gross/net pressure convention, what is the corresponding allowable GROSS contact pressure?
Explanation:
Net contact pressure is the gross contact pressure minus the overburden originally acting at the founding elevation. To obtain the corresponding gross allowable pressure, the original overburden is added to the allowable net value. Here the original overburden is 36 kPa. The calculation is 170 + 36 = 206 kPa. The soil and loading conventions used in these conversions must remain consistent.
వివరణ:
Question 14
ప్రశ్న 14
A 2 m by 3 m footing transmits a total gross vertical load of 1080 kN uniformly to its base at 1.5 m depth. The original soil has unit weight 18 kN/m3, groundwater effects are negligible, and allowable NET bearing pressure is 160 kPa. Which evaluation is correct?
Explanation:
The footing base area is 2(3) = 6 m2. The gross applied contact pressure is 1080/6 = 180 kPa. Original overburden pressure at 1.5 m depth is 18(1.5) = 27 kPa. The net applied pressure is therefore 180 - 27 = 153 kPa. Since 153 kPa is less than the specified allowable net pressure of 160 kPa, the stated bearing-pressure criterion is satisfied.
వివరణ:
Question 15
ప్రశ్న 15
A footing has gross applied pressure 270 kPa, original overburden pressure 45 kPa, and gross ultimate shear pressure 720 kPa. The required shear factor of safety on NET ultimate pressure is 3.0, and the settlement-based net pressure limit is 170 kPa. Which decision is correct?
Explanation:
Net ultimate bearing pressure is 720 - 45 = 675 kPa. The net safe pressure against shear is 675/3 = 225 kPa. The independent settlement limit is smaller, at 170 kPa, so allowable net pressure is 170 kPa. Applied net pressure is 270 - 45 = 225 kPa. The footing therefore fails the settlement-controlled allowable-pressure check despite meeting the stated shear-safety boundary.
వివరణ:
Question 16
ప్రశ్న 16
When an engineer calculates the GROSS contact pressure under a buried footing from vertical structural loading, which load accounting is most appropriate?
Explanation:
Gross contact pressure is based on the vertical load transmitted at the foundation-soil interface divided by the relevant contact area. This load may include the superstructure, the footing self-weight and soil or other materials resting above the footing. A net-pressure calculation also accounts for the pressure previously exerted by the excavated ground. Double-counting replaced soil or omitting actual loads produces inconsistent results. The calculation should state clearly which load components and stress convention are used.
వివరణ:
Question 17
ప్రశ్న 17
An isolated footing of plan dimensions 2 m by 3 m has an allowable NET bearing pressure of 160 kPa. Ignoring eccentricity and assuming the additional vertical net load spreads uniformly over its full area, what is the maximum additional net load that satisfies this pressure limit?
Explanation:
The area of the footing is 2(3) = 6 m2. The allowable net pressure is 160 kN/m2. Under the assumed uniform loading, the allowable additional net load is pressure multiplied by area. This gives 160(6) = 960 kN. Foundation self-weight and the original removed overburden must be handled separately if the actual loading is expressed as a gross load.
వివరణ:
Question 18
ప్రశ్న 18
A designer considers increasing footing width on a uniform sand deposit to reduce applied contact pressure. Which engineering conclusion about bearing capacity and settlement is most appropriate?
Explanation:
Widening a footing increases its loaded area and may reduce average contact pressure for an unchanged load. For many drained sand problems, bearing-capacity expressions also contain a footing-width contribution. However, a wider footing influences a larger volume of supporting ground. Compressible layers at depth may therefore affect settlement despite a reduction in average pressure. A satisfactory design checks both bearing resistance and deformation for the revised geometry.
వివరణ:
Question 19
ప్రశ్న 19
A shallow strip footing bears on a drained cohesionless sand deposit. All geometry and effective friction parameters remain fixed, but the groundwater table rises from well below the stress-influence zone to near the footing base. Which effect generally requires consideration in an effective-stress bearing-capacity analysis?
Explanation:
In a drained bearing-capacity calculation, shear resistance is governed by effective stresses. A rising water table can lower the effective unit weight of soil in zones influencing foundation capacity. This can reduce the soil-weight term and alter the effective surcharge term, depending on the water level. The soil's effective friction angle does not automatically vanish when saturation occurs. Therefore groundwater position should be included consistently rather than assuming it has no effect.
వివరణ:
Question 20
ప్రశ్న 20
A column load acts eccentrically across a rectangular footing so that the contact pressure is not uniform. Which response is appropriate when assessing bearing resistance and applied pressure?
Explanation:
Eccentric loading changes the distribution of contact pressure beneath a footing. Part of the foundation base may carry higher pressure than under a concentric load. An effective-area approach can be used where it is appropriate to the selected bearing-capacity method. The design must also consider potential loss of contact and overturning stability. Treating an eccentric load as uniformly distributed over the entire original area can be unconservative.
వివరణ:
Question 21
ప్రశ్న 21
A shallow square footing is proposed above a dense sand layer resting on thick soft clay. The sand's near-surface penetration resistance is high, but the clay lies within the zone significantly stressed by the footing. Which interpretation is correct?
Explanation:
Shallow-footing performance depends on the soil mass affected by the applied load, not merely the material touching the base. A relatively thin strong layer may not prevent punching into weak underlying material. The underlying soft clay may also deform and consolidate under increased stress. The thickness and engineering properties of both layers must be evaluated. An investigation ending at the dense sand could miss a governing foundation risk.
వివరణ:
Question 22
ప్రశ్న 22
A rough strip footing on homogeneous soil is analysed with the GIVEN idealized gross ultimate expression qult = cNc + qNq + 0.5 gamma B Ngamma. Take c = 20 kPa, Nc = 10, q = gamma Df = 18 kPa, Nq = 5, gamma = 18 kN/m3, B = 2 m and Ngamma = 4. If net ultimate pressure is qult - q and the shear factor of safety on NET ultimate pressure is 2, what is the net safe bearing pressure?
Explanation:
The cohesion contribution to gross ultimate pressure is cNc = 20(10) = 200 kPa. The surcharge term is qNq = 18(5) = 90 kPa, and the soil-weight term is 0.5(18)(2)(4) = 72 kPa. Thus gross ultimate pressure is 200 + 90 + 72 = 362 kPa, and net ultimate pressure is 362 - 18 = 344 kPa. Dividing net ultimate pressure by the specified factor of safety gives 344/2 = 172 kPa. The problem provides every bearing factor, so no external chart or assumed factor values are needed.
వివరణ:
Question 23
ప్రశ్న 23
A saturated normally consolidated clay is to support a footing during rapid construction and over its long service life. Which selection of strength conditions is most appropriate for bearing-capacity assessment?
Explanation:
Rapid loading of a low-permeability saturated clay may occur with little drainage and excess pore-water pressure development. An appropriate short-term analysis may therefore use undrained shear strength in total stresses. Over longer periods, drainage and changes in pore pressure can alter the effective stress state. Long-term assessment generally calls for effective-stress strength and the relevant groundwater conditions. The governing loading stage and settlement requirements should both be evaluated for foundation design.
వివరణ:
Question 24
ప్రశ్న 24
A shallow foundation has gross ultimate bearing pressure 640 kPa and initial total overburden pressure at its base 40 kPa. The required shear factor of safety is 3.0 on NET ultimate pressure, and the settlement criterion permits a maximum NET pressure of 170 kPa. What is the corresponding allowable GROSS pressure?
Explanation:
Net ultimate bearing pressure is the gross ultimate value less the original overburden, giving 640 - 40 = 600 kPa. Net safe pressure from the shear check is 600/3 = 200 kPa. The settlement-controlled net pressure is lower at 170 kPa. Therefore the allowable net pressure is 170 kPa. Adding back the original overburden gives the corresponding allowable gross pressure of 170 + 40 = 210 kPa.
వివరణ:
Question 25
ప్రశ్న 25
A footing on variable ground meets a calculated shear-safety factor but the predicted differential settlement exceeds the structure's permitted tolerance. What is the correct bearing-capacity design decision?
Explanation:
A factor of safety against shear failure addresses one limit state of a foundation. Excessive differential settlement is a separate serviceability problem that can damage a structure without a classical bearing shear failure. A footing can therefore satisfy its shear resistance check and still be unsuitable for service. Design changes may involve greater rigidity, revised foundation geometry, ground improvement or a different founding system. Acceptance requires both adequate strength and tolerable movements under the relevant loads.
వివరణ:
Answer Key సమాధానాల పట్టిక
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Question 1 ప్రశ్న 1Answer: B. Gross ultimate bearing capacity or pressure. సమాధానం: B.
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Question 2 ప్రశ్న 2Answer: C. General shear failure. సమాధానం: C.
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Question 3 ప్రశ్న 3Answer: A. Local shear failure. సమాధానం: A.
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Question 4 ప్రశ్న 4Answer: D. Punching shear failure. సమాధానం: D.
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Question 5 ప్రశ్న 5Answer: B. Dense sand may show a clearer general-shear peak, whereas loose sand may experience progressive local or punching deformation without a sharply identifiable peak. సమాధానం: B.
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Question 6 ప్రశ్న 6Answer: C. Assess possible punching through the sand crust into the weak clay and evaluate settlement as well as bearing resistance. సమాధానం: C.
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Question 7 ప్రశ్న 7Answer: A. 324 kPa. సమాధానం: A.
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Question 8 ప్రశ్న 8Answer: B. 560 kPa. సమాధానం: B.
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Question 9 ప్రశ్న 9Answer: C. 180 kPa. సమాధానం: C.
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Question 10 ప్రశ్న 10Answer: D. 240 kPa. సమాధానం: D.
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Question 11 ప్రశ్న 11Answer: A. 160 kPa, governed by settlement. సమాధానం: A.
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Question 12 ప్రశ్న 12Answer: B. 240 kPa, because the shear-safety criterion governs. సమాధానం: B.
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Question 13 ప్రశ్న 13Answer: C. 206 kPa. సమాధానం: C.
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Question 14 ప్రశ్న 14Answer: D. Gross applied 180 kPa; net applied 153 kPa; passes the stated net-pressure criterion. సమాధానం: D.
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Question 15 ప్రశ్న 15Answer: A. Net applied pressure 225 kPa exceeds allowable net pressure 170 kPa; the settlement limit governs. సమాధానం: A.
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Question 16 ప్రశ్న 16Answer: B. Include the applicable foundation and backfill weights in the gross base load, then account consistently for excavated overburden when finding NET pressure. సమాధానం: B.
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Question 17 ప్రశ్న 17Answer: C. 960 kN. సమాధానం: C.
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Question 18 ప్రశ్న 18Answer: D. Increasing width can change ultimate bearing resistance and contact pressure, but settlement and the larger stress-influence zone must also be checked. సమాధానం: D.
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Question 19 ప్రశ్న 19Answer: A. The effective unit weight in relevant bearing-capacity terms decreases, so the calculated resistance may decrease. సమాధానం: A.
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Question 20 ప్రశ్న 20Answer: B. Consider the eccentricity, its effect on contact-pressure distribution and an appropriate reduced effective bearing area or equivalent approved analysis. సమాధానం: B.
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Question 21 ప్రశ్న 21Answer: C. The weak underlying layer can govern punching resistance or settlement despite the stronger sand at foundation level. సమాధానం: C.
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Question 22 ప్రశ్న 22Answer: D. 172 kPa. సమాధానం: D.
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Question 23 ప్రశ్న 23Answer: A. Evaluate the relevant short-term undrained total-stress condition and long-term drained effective-stress condition rather than assuming the same strength parameters apply to both. సమాధానం: A.
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Question 24 ప్రశ్న 24Answer: B. 210 kPa. సమాధానం: B.
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Question 25 ప్రశ్న 25Answer: C. Do not accept the footing on the shear calculation alone; revise the foundation or ground-treatment design until settlement and strength requirements are both met. సమాధానం: C.
