University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr....

177
University of Nigeria Research Publications Nwoji, Clifford Ugochukwu Author PG/Ph.D/86/4318 Title Improved Second Order Solution and its Application in the Analysis of Redundant Frames Faculty Engineering Department Civil Engineering University of Nigeria, Nsukka Date May, 1998

Transcript of University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr....

Page 1: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr

University of Nigeria Research Publications

Nwoji, Clifford Ugochukwu

Aut

hor

PG/Ph.D/86/4318

Title

Improved Second Order Solution and its Application in the Analysis of Redundant

Frames

Facu

lty

Engineering

Dep

artm

ent

Civil Engineering University of Nigeria, Nsukka

Dat

e

May, 1998

Page 2: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 3: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 4: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 5: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 6: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 7: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 8: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 9: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 10: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 11: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 12: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 13: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 14: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 15: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 16: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 17: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 18: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 19: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 20: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 21: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 22: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 23: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 24: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 25: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 26: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 27: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 28: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 29: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 30: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 31: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 32: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 33: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 34: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 35: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 36: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 37: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 38: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 39: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 40: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 41: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 42: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 43: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 44: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 45: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 46: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 47: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 48: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 49: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 50: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 51: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 52: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 53: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 54: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 55: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 56: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 57: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 58: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 59: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 60: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 61: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 62: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 63: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 64: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 65: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 66: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 67: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 68: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 69: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 70: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 71: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 72: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 73: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 74: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 75: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 76: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 77: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 78: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 79: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 80: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 81: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 82: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 83: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 84: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 85: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 86: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 87: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 88: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 89: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 90: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 91: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 92: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 93: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 94: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 95: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 96: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 97: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 98: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 99: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 100: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 101: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 102: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 103: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 104: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 105: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 106: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 107: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 108: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 109: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 110: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 111: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 112: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 113: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 114: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 115: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 116: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 117: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 118: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 119: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 120: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 121: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 122: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 123: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 124: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 125: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 126: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 127: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 128: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 129: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 130: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 131: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 132: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 133: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 134: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 135: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 136: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 137: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 138: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 139: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 140: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 141: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 142: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 143: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 144: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 145: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 146: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 147: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 148: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 149: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 150: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 151: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 152: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 153: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 154: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 155: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 156: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 157: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 158: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 159: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 160: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 161: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 162: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 163: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 164: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 165: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 166: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 167: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 168: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 169: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 170: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 171: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 172: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 173: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 174: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 175: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 176: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr
Page 177: University of Nigeria Second Order Solution... · Engineering Of University of Nigeria, ... Engr. Prof. DC _ O yej kwe ... or this work was lightened by the encouragement of Engr