Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs...

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Numerical modeling of RC slabs on tensionless elastic subgrade Mansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element programs, WINKLER and PSEUDO-3D. The program WINKLER is based on the classical Winkler hypothesis whereas a three dimensional elastic analysis is used in PESEUDO-3D. A tensionless behavior is considered for the subgrade, by assuming that the subgrade reacts only in compression. The existence of sinkholes/cavities underneath the slab is also modeled. The size effect and location effect of such sinkholes on the behavior of reinforced concrete slabs are studied. A new concept of variable subgrade modulus values for a subgrade is introduced in the PSEUDO-3D model. The new model Pseudo-3D is compared and contrasted with the classical Winkler hypothesis. Contours of subgrade modulus as well as dimensionless equivalent subgrade modulus, for slabs on weak, intermediate, and stiff soils are presented.

Transcript of Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs...

Page 1: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element

Numerical modeling of RC slabs on tensionless elastic subgrade

Mansoor Ali Beg

Civil Engineering

July 1996

Abstract

The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element programs, WINKLER and PSEUDO-3D. The program WINKLER is based on the classical Winkler hypothesis whereas a three dimensional elastic analysis is used in PESEUDO-3D. A tensionless behavior is considered for the subgrade, by assuming that the subgrade reacts only in compression. The existence of sinkholes/cavities underneath the slab is also modeled. The size effect and location effect of such sinkholes on the behavior of reinforced concrete slabs are studied. A new concept of variable subgrade modulus values for a subgrade is introduced in the PSEUDO-3D model. The new model Pseudo-3D is compared and contrasted with the classical Winkler hypothesis. Contours of subgrade modulus as well as dimensionless equivalent subgrade modulus, for slabs on weak, intermediate, and stiff soils are presented.

Page 2: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element

Numerical Modeling of RC Slabs on Tensionless Elastic Subgrade

by

Mansoor Ali Beg

A Thesis Presented to the

FACULTY OF THE COLLEGE OF GRADUATE STUDIES

KING FAHD UNIVERSITY OF PETROLEUM & MINERALS

DHAHRAN, SAUDI ARABIA

In Partial Fulfillment of the Requirements for the Degree of

MASTER OF SCIENCE

In

CIVIL ENGINEERING

July, 1996

Page 3: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 4: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 5: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 6: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 7: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 8: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 9: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 10: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 11: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 12: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 13: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 14: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 15: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 16: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 17: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 18: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 19: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 20: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 21: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 22: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 23: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 24: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 25: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 26: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 27: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 28: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 29: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 30: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 31: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 32: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 33: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 34: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 35: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 36: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 37: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 38: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 39: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 40: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 41: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 42: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 43: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 44: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 45: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 46: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 47: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 48: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 49: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 50: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 51: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 52: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 53: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 54: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 55: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 56: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 57: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 58: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 59: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 60: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 61: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 62: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 63: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 64: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 65: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 66: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 67: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 68: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 69: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 70: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 71: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 72: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 73: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 74: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 75: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 76: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 77: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 78: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 79: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 80: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 81: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 82: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 83: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 84: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 85: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 86: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 87: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 88: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 89: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 90: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 91: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 92: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 93: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 94: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 95: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 96: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 97: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 98: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 99: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 100: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 101: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 102: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 103: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 104: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 105: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 106: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 107: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 108: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 109: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 110: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 111: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 112: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 113: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 114: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 115: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 116: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 117: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 118: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 119: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 120: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 121: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 122: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 123: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 124: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 125: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 126: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 127: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 128: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 129: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 130: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 131: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 132: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 133: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 134: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 135: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 136: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 137: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 138: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 139: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element
Page 140: Mansoor Ali Beg - KFUPMMansoor Ali Beg Civil Engineering July 1996 Abstract The problem of slabs resting on elastic soil is tackled by means of developing two nonlinear finite element