Strength of Materials

Strength of Materials By: Garnel Avellano 1. THE SECTION OF A BEAM AT WITCH THBENDING MOMENT MOMENT CHANGES FROM POSITIVE TO NEGATIVE IS CALLED.

A. B. C. D.

CRITICAL PIONT DEFLECTION PIONT PIONT OF INFLECTION NONE OF THE ABOVE

ANSWER: C. PIONT OF INFLECTION 2. A CIRCULAR STEEL PLATE MUST FIT FIT INTO AN OPENING WHOSE AREA IS FIFTY SQUARE INCHES. FIND THE DIAMETER OF THE PLATE TO TWO DECIMAL PLACES. A. B. C. D.

7.98 IN. 8.65 IN. 6.45 IN. 9.60 IN.

ANSWER: A. 7.98 IN. 3. FIND THE CONSTANT CONSTANT OF 81HP 81HP IN A 3 INCHES COLD COLD ROLLED LINE LINE SHAFTING WHICH TRANSMITTED 210 RMP. A. B. C. D.

900 600 800 500

ANSWER: A. 900 4. A STEEL WIRE 10 M. LONG , HANGING VERTICALLY SUPPORTS SUPPORTS A TENSILE LOAD OF 1000 N. NEGLECTING THE WEIGHT W EIGHT OF THE WIRE, DETERMINE THE REQUIRED DIAMETER IF THE ELONGATION IS NOT TO EXCEED 2.5 MM. ASSUME E = 200 GPa. A. B. C. D.

5.046 MM. 3.596 MM. 4.297 MM. 6.382 MM.

ANSWER: A. 5.046 MM. MM . 5. THE RATIO OF THE LATERAL EXPANSION TO THE LONGITUDINAL LONGITUDINAL SHORTENING OF A CONCRETE CYLINDER WHEN SUBJECTED TO COMPRESSIVE LOAD. A. B. C. D.

MODULUS OF ELASTICITY POISSON’S RATIO MODULUS OF RUPTURE NONE OF THE ABOVE

ANSWER: B. POISSON’S RATIO 6. THE MOMENT OF INERTIA OF ANY PLANE FIGURE CAN CAN BE EXPRESSED IN UNITS OF LENGTH TO THE: A. B. C. D.

FIRST POWER SECOND POWER THIRD POWER FOURTH POWER

ANSWER: D. FOURTH POWER 7. THE MOMENT OF INERTIA ABOUT THE PRINCIPAL X – X AXIS AXIS OF A CROSS CROSS SECTION IS: A. B. C. D.

THE THE THE THE

INTEGRAL INTEGRAL OF y2dA INTEGRAL INTEGRAL OF xdA INTEGRAL INTEGRAL OF x2dA INTEGRAL OF xydA

ANSWER: A. THE INTEGRAL OF y2dA 8. THE STRESS IN AN ELASTIC MATERIAL MATERIAL IS: IS: A. B. C. D.

INVERSELY PROPORTIONAL TO THE MATERIALS MATERIALS YIELD STRENGHT STRENGHT INVERSELY PROPORTIONAL PROPORTIONAL TO THE FORCE ACTING PROPORTIONAL TO THE DISPLACEMENT INVERSELY PROPORTIONAL TO THE STRAIN STRAIN

ANSWER: C. PROPORTIONAL TO THE DISPLACEMENT DISPL ACEMENT 9. PRINCIPAL STRESSES OCCUR OCCUR ON THOSE PLANES: A. WHERE THE SHEARING STRESS IS ZERO B. WHICH ARE 45o APART

C. WHERE THE SHEARING STRESS IN MINIMUM D. WHICH ARE SUBJECTED TO PURE TENSION ANSWER: A. WHERE THE SHEARING STRESS IS ZERO 10. THE DEFLECTION OF A BEAM IS: A. DIRECTLY PROPORTIONAL TO THE MODULUS OF ELASTICITY AND MOMENT OF INERTIA B. INVERSELY PROPORTIONAL TO THE MODULUS OF ELASTICITY AND MOMENT OF INERTIA C. DIRECTLY PROPORTIONAL TO THE LOAD IMPOSED AND INVERSELY TO THE LENGTH SQUARED D. INVERSELY PROPORTIONAL TO THE WEIGHT AND LENGTH ANSWER: B. INVERSELY PROPORTIONAL TO THE MODULUS OF ELASTICITY AND MOMENT OF INERTIA 11. POISSON’S RATIO IS THE RATIO OF THE: A. UNIT LATERAL DEFORMATION TO THE UNIT LONGITUDINAL DEFORMATION B. UNIT STRESS TO NUIT STRAIN C. ELASTIC LIMIT TO PROPORTIONAL LIMIT D. SHEAR TO COMPRESSIVE STRAIN ANSWER: A. UNIT LATERAL DEFORMATION TO THE UNIT LONGITUDINAL 12. THE LINEAR PORTION OF THE STRESS – STRAIN DIAGRAM OF STEEL IS KNOWN AS THE: A. B. C. D.

MODULUS OF ELONGATION PLASTIC RANGE STRAIN HARDENING ELASTIC RANGE

ANSWER: D. ELASTIC RANGE 13. STRESS CONCENTRATION FACTOR: A. IS A RATIO OF AVERAGE STRESS ON A SETION TO THE ALLOWABLE STRESS B. IS THE RATIO OF AREAS INVOLVED INA SUDDEN CHANGE OF CROSS SECTION

C. IS THE RATIO OF MAXIMUM STRESS PRODUCED IN A SECTION TO THE AVERAGE STRESS OVER THE SECTION D. IS THE LOAD FACTOR APPLIED TO LOADS ANSWER: C. IS THE RATIO OF MAXIMUM STRESS PRODUCED IN A SECTION TO THE AVERAGE STRESS OVER THE SECTION 14. MODULUS OF RIGITY OF A STEEL MEMBER IS A. DEFINE AS THE UNIT SHEAR STRESS DIVIDED BY THE UNIT SHEAR DEFORMATION (SHEAR STRAIN) B. EQUAL TO THE MODULUS OF ELASTICITY DIVIDED BY ONEPLUS POISSON’S RATIO C. DEFINED AS THE LENGTH DIVIDED BY THE MOMENT OF INERTIA D. EQUAL TO APPROXIMATELY 7/10 OF THE MODULUS OF ELASTICITY ANSWER: A. DEFINE AS THE UNIT SHEAR STRESS DIVIDED BY THE UNIT SHEAR DEFORMATION (SHEAR STRAIN) 15. FIXING BOTH ENDS OF A SIMPLY SUPPORTED BEAM THAT HAS A UNIFORM LOAD THROUGH OUT THE SPAN WILL INCREASE THE ALLOWABLE LOAD BY: A. B. C. D.

25% 50% 75% 100%

ANSWER: B. 50% 16. THE AREA OF THE SHEAR DIAGRAM BETWEEN ANY TWO PIONTS ON THE BEAM IS EQUAL TO: A. B. C. D.

CHANGE IN SHEAR BETWEEN TWO POINTS TOTAL SHEAR BETWEEN THE TWO POINTS AVERAGE MOMENT BETWEEN THE TWO POINTS CHANGE IN MOMENT BETWEEN THE TWO POINTS

ANSWER: A. CHANGE IN MOMENT BETWEEN TWO POINTS 17. A THIN WALLED CYLINDRICAL SHELL HAS AN INTERNAL DIAMETER OF 2 M. AND IS FABRICATED FROM PLATES 20 MM. THICK. CALCULATE THE SAFE PRESSURE IN THE SHELL IF THE TENSILE STRENGHT OF THE PLATE IS 400 kN/MM2 AND THE FACTOR OF SAFETY IS 6.

A. B. C. D.

1.33 N/mm  2 0.33 N/mm  2 13.3 N/mm 2 133.3 N/ mm 2

ANSWER: A. 1.33 N/mm  2 18. THE LINEAR PORTION OF THE STRESS-STRAIN DIAGRAM OF THE STEEL IS KNOWN AS THE: A. B. C. D.

MODULUS OF ELONGATION PLASTIC RANGE STRAIN HARDENING ELASTIC RANGE

ANSWER: ELASTIC RANGE 19. FOR A SYSTEM TO BE IN EQUILIBRIUM, THE SUM OF THE EXTERNAL FORCES ACTING ON THE SYSTEM MUST BE: A. B. C. D.

EQUAL TO UNITY A MAXIMUM INDETERMINATE ZERO

ANSWER: D.ZERO 20. A SHORT STRUCTURAL MEMBER OF LENGTH L, AREA A AND MODULUS OF ELASTICITY E, SUBJECTED TO A COMPRESSION LOAD OF P. THE MEMBER WILL: A. B. C. D.

ELONGATED BY PL/AE SHORTEN BY PL/AE BUCKLE AT π 2 EI/LL NONE OF THE ABOVE

ANSWER: B. SHORTEN BY PL/AE 21. WHAT IS A METAL CHARACTERISTIC TO WITHSTAND FORCES THAT CAUSE TWISTING? A. B. C. D.

TORSIONAL STRENGHT MODULUS OF ELASTICITY TWISTING MOMENT ELASTICITY

ANSWER: A. TORSIONAL STRENGHT 22. DTERMINE THE ESTIMATE WEIGHT OF AN A-36 STEEL PLATE SIZE 3/16 X 6’ 20’. A. B. C. D.

919 LBS. 1012 LBS. 829 LBS. 735 LBS.

ANSWER: A. 919 LBS. 23. A 3’’ DIAMETER SHORT SHAFT CARRYING TWO PULLEY CLOSE TO THE BEARINGS TRNSMIT HOW MUCH HORSEPOWER IF THE SHAFT MAKES 280 RPM? A. B. C. D.

199 HP 198 HP 200 HP 210 HP

ANSWER: A. 199 HP 24. WHAT PRESSURE IS REQUIRED TO PUNCH A HOLE 2’’ A. B. C. D.

10 TONS 20 TONS 30TONS 40 TONS

ANSWER: A. 10 TONS 25. COMPUTE THE WORKING STRENGHT OF A 1’’ BOLT WHICH IS SCREWED UP TIGHTLY IN A PACKED JOINT WHEN THE ALLOWABLE WORKING STRESS IS 13000psi? A. B. C. D.

3600 psi 3950 psi 3900 psi 3800 psi

ANSWER: A. 3600 psi 26. WHAT IS THE WORKING STRENGHT OF A 2’’ BOLT WHICH IS SCREWED UP TIGHTLY IN A PACKED JOINT WHEN THE ALLOWABLE OWRKING STRESS IS 12000 psi?

A. B. C. D.

20,120 25,347 20,443 20,200

lbs. lbs. lbs. lbs.

ANSWER: B. 25,347 lbs. 27. COMPUT THE SPEED OF THE GEAR MOUNTED ON A 52.5 mm DIAMETER SHAFT RECEIVING POWER FROM A DRIVING MOTOR WITH 250 hp. A. B. C. D.

2182 rpm 2071 rpm 2282 rpm 2341 rpm

ANSWER: C. 2282 rpm 28. WHAT FORCE P IS REQUIRED TO PUNCH A ½ in. HOLE ON A 3/8 in. THICK PLATE IF THE ULIMATE SHEAR STRENGHT OF THE PLATE IS 42000 psi? A. B. C. D.

24940 lbs 24620 lbs 24960 lbs 24740 lbs

ANSWER: D. 24740 lbs 29. A HOLLOW SHAFT HAS INNER DIAMETER OF 0.035 m. AND OUTER DIAMETER OF 0.06 m. DETEREMINE THE POLAR MOMENT OF INERTIA OF THE HOLLOW SHAFT. A. B. C. D.

1.512 x 10 -6 m4 1.215 x 10 -6 m4 1.152 x 10 -6 m4 1.125 x 10 -6 m4

ANSWER: B. 1.215 x 10-6 m4 30. WHAT IS THE MODULUS OF ELASTICITY IF THE STRESS IS 44,000 psi AND a UNIT OF 0.00105? A. B. C. D.

41.905 42.300 41.202 43.101

x 10 6 x 10 6 x 10 6 x 10 6

ANSWER: A. 41.905 x 10 6 31. DETERMINE THE THICKNESS OF A STEEL AIR RECEIVER W ITH 30 INCHES DIAMETER AND PRESSURE LOAD OF 120 psi. DESIGN STRESS OF 8000 psi. A. B. C. D.

¼ in. 5/8 in. 3/8 in. ½ in.

ANSWER: A.1/4 in. 32. THE SECTION MODULUS OF A RECTANGULAR OF BASE “b” AND HEIGHT “h” ABOUT ITS BASE IS: A. B. C. D.

bh2 /6 bh3 /3 bh2 /12 bh3 /12

ANSWER: D. bh3/12 33. A 2-in. SOLID SHAFT IS DRIVEN BY A 36-in. GEAR AND TRANSMITS POWER AT 120 rpm. IF ALLOWABLE SHEARING STRESS IS 12 psi, WHAT HORSEPOWER CAN BE TRANSMITTED? A. B. C. D.

29.89 35.89 38.89 34.89

ANSWER: A.35.89 34. A COILED SPRING WITH 5 cm. OF OUTSIDE DIAMETER IS REQUIRED TO WORK UNDER THE LOAD OF 190 N. THE WIRE DIAMETER IS 15 mm, THE SPRING IS TO HAVE 6 ACTIVE COILS AND THE ENDS TO BE CLOSED AND ROUND. DETERMINE THE TOTAL NUMBER OF COILS. THE MODULUS OF RIGIDITY IS 80GPa AND THE MEAN RADIUS IS TO BE 23 mm, WITH 7 mm PITCH OF THE SPRING. A. B. C. D.

6.5 COILS 7.5 COILS 8.5 COILS 9.5 COILS

ANSWER: C. 8.5 COILS 35. A HELICAL SPRING HAVING SQUARE AND GROUND ENDS HAS A TOTAL OF 18 COILS AND ITS MATERIAL HAS MODULUS OF ELASTICITY IN SHEAR OF 78.910 GPa. IF THE SPRING HAS AN OUTSIDE DIAMETER OF 10.42 cm. AND A WIRE DIAMETER OF 0.625 cm, COMPUTE THE MAXIMUM DEFLECTION THAT CAN BE PRODUCED IN THE SPRING DUE TO A LOAD OF 50 Kgs. A. B. C. D.

302 mm 342 mm 551 mm 322 mm

ANSWER: C.551 mm 36. DESIGN THE SIZE OF SOLID STEEL TO BE USED FOR 500 hp, 250 rpm APPLICATION IF THE ALLOWABLE TORSIONAL DEFLECTION IS 10 AND THE ALLOWABLE STRESS IS 10,000 psi AND MODULUS OF RIGIDITY IS 13 X 106 psi. A. B. C. D.

5” dia. 4 5/8” dia. 4 7/8” dia. 4 ¾” dia.

ANSWER: B. 4 5/8” dia. 37. WITH THE ELECTRIC ARC WELDING RATE OF 18 in./min., HOW LONG WIL IT TAKE TO WELD A ½ in. THICK PLATE BY 3 ft. LONG SEAM ? A. B. C. D.

3 min. 2 min. 1.5 min. 4 min.

ANSWER: B. 38. A HOLLOW SHAFT HAS AN INNER DIAMETER OF 0.035 m. AN OUTER DIAMETER OF 0.06 m. COMPUTE FOR THE TORQUE IF THE SHEAR STRESS IS NOT TO EXCEED 120 Gpa IN Nm. A. B. C. D.

4500 4100 4300 4150

ANSWER: A. 39. WHT MODULUS OF ELASTICITY IN TENSION IS REQUIRED TO OBTAIN A UNIT DEFORMATION OF 0.00105 m/m FROM A LOAD PRODUCING A UNIT TENSILE STRESS OF 44,000 psi? A. B. C. D.

42.300 41.202 43.101 41.905

X 106 psi X 106 psi X 106 psi X 106 psi

ANSWER: D. 40. IF THE ULTIMATE SHEAR STRENGHT OF STEEL PLATE IS 42,000 lb/in2, WHAT FORCE IS NECESSARY TO PUNCH A 0.75 INCH DIAMETER HOLE IN A INCH THICK PLATE? A. B. C. D.

63008 lbs. 68080 lbs. 61800 lbs. 66800 lbs.

ANSWER: C. 41. A STEEL TIE ROD ON BRIGDE MUST BE MADE TO WITHSTAND A PULL OF 5000 lbs. FIND THE DIAMETER OF THE ROD ASSUMING A FACTOR OF SAFETY OF 50 AND ULTIMATE STRESS OF 64000 lb/in2 . A. B. C. D.

0.75 in. 0.71 in. 0.84 in. 0.79 in.

ANSWER: B. 42. COMPUTE THE NOMINAL SHEAR STRESSES AT THE SURFACE IN MPa FOR A 40 mm DIIA, METER SHAFT THAT TRANSMIT 750 Kw at 1500 rpm. AXIAL AND BENDING LOAD ARE ASSUMED NEGLIGIBLE. TORSIONAL SHEARING STRESS IS 28 N/mm2. A. B. C. D.

218 312 232 380

ANSWER: D

43. THE RATIO OF THE MOMENT OF INERTIA OF THE CROSS-SECTION OF THE BEAM TO THE SECTION MODULUS. A. B. C. D.

EQUAL TO THE RADIUS GRYATION EQUAK TO THE AREA OF THE CROSS-SECTION MEASURE A DISTANCE DEPENDENT ON THE MODULUS OF ELASTICITY OF THE BEAM MEASURE

ANSWER: C. 44. CONTINUOUS STRECHING UNDER LOAD EVN IF THE STRESS IS LESS THAN THE YIELD PIONT: A. B. C. D.

PLASTICITY ELASTICITY CREEP DUCTILITY

ANSWER: B. 45. THE MAXIMUM MOMENT IN A SIMPLE BEAM SUBJECT TO A TRIANGULAR LOAD BEGINNING AT ZERO FROM THE LEFT SUPPORT TO A VALUE AT THE RIGHT SUPPORT OCCURS AT DISTANCE FROM THE LEFT SUPPORT OF: A. B. C. D.

0.5 L 0.577 L 0.667 L 0.750 L

ANSWER: B. 46. SHEAR CENTER OF A CROSS SECTION : A. IS LOCATED AT THE CENTRIOD FOR WF AND DOUBLY SYMMETRIC SHAPES. B. CAN BE LOCATED BY EQUILIBRIUM OF INTERNAL TORSIONAL SHEAR STRESSES WITH EXTERNAL TORSIONAL FORCES. C. FOR SINGLY SYMMETRY CROSS SECTION SUCH AS C SHAPE, IS LOCATED AT THE AXIS OF SYMMETRY BUT NOT AT THE CENTRIOD. D. ALL OF THE ABOVE ANSWER: D.

47. THE STRESS IN AN ELASTIC MATERIAL IS: A. B. C. D.

INVERSELY PROPORTIONAL TO THE MATERIALS YIELD STRENGHT INVERSELY PROPORTIONAL TO THE FORCE ACTING PROPORTIONAL TO THE DISPLACEMENT INVERSELY PROPORTIONAL TO THE STRAIN

ANSWER: C. 48. THE LINEAR PORTION OF THE STRESS- STRAIN DIAGRAM OF STEEL OS KNOWN AS THE A. B. C. D.

MODULUS OF ELASTICITY PLASTIC RANGE STAIN HARDENING ELASTIC RANGE

ANSWER: D. 49. PRINCIPAL STRESS OCCUR ON THOSE PLANES A. B. C. D.

WHERE THE SHEARING IS ZERO WHICH ARE 45 0 DEGREES APART WHERE THE SHEARING STRESS IS AN MAXIMUM WHICH ARE SUBJECTED TO PURE TENSION

ANSWER: A. 50. THE DEFLECTION OF THE BEAM IS A. DIRECTLY PROPORTIONAL TO THE MODULUS OF ELASTICITY AND MOMENT OF INERTIA B. INVERSELY PROPORTIONAL TO THE MODULUS OF ELASTICITY AND MOMENT OF INERTIA C. DIRECTLY PROPORTIONAL TO THE LOAD IMPOSED AND INVERSELY TO THE LENGTH SQUARED D. INVERSELY PROPORTIONAL TO THE WEIGHT AND LENGTH ANSWER: A. 51. POISSON’S RATIO IS THE RATIO OF THE A. UNIT LATERAL DEFORMATIONTO THE UNIT LONGITUDINAL DEFORMATION B. UNIT STRESS TO UNIT STRAIN

C. ELASTIC LIMIT TO PORTION LIMIT D. SHEAR STRAIN TO COMPRESSIVE STRAIN ANSWER: A. 52. LARGE DEFORMATION OF A STRUCTURAL MEMBER BENDING OUT OF LINE BECAUSE OF LARGE AND CRITICAL LOADS: A. B. C. D.

BUCKLE INSTABILITY PLASTIC DEFORMATION ALL OF THE ABOVE

ANSWER: A. 53. A PROPPED CANTILEVER BEAM (A BEAM FIXED AT ONE END AND SIMPLE SUPPORTED AT THE OTHER END) IS SUBJECT TO A UNIFORM LOAD OF 10 kN/m AND A CONCENTRATED LOAD OF 40 Kn AT MIDSPAN. DETERMINE THE REACTION AT THE SIMPLE SUPPORT IF THE SOAN IS 10 m. A. B. C. D.

50 KN. 60 KN 70 KN 80 KN

ANSWER: A. 54. A TRUCK IS MOVING ALONG 20 m. SPAN OF BEAM. THE FRON AXLE LOAD IS 8 Kn, THE MIDDLE LOAD IS SPACED AT 3 m. ROM THE FRONT AND 6 m. FROM THE REAR . DETERMINE THE MAX. MOMENT PRODUCED ABY THE LOAD. A. B. C. D.

142.62 Kn.m 153.54 kn.m 141.62 Kn.m 234.45 KN.M

ANSWER: C. 55. A TEE SECTION IS MADE UP OF A 30 X 150 mm FLANGE AND A 30 mm X mm WEB. THE NEUTRAL AXIS ABOVE THE LOWEST FIBERS OF THE SECTION IS : A. 155 mm B. 35 mm

C. 160 mm D. NONE OF THE ABOVE ANSWER: D . 56. THE SUM OF ALL FORCES IN THE ORTHOGONAL DIRECTIONS AND SUM OF ALL MOMENTS ABOUT ANY PIONT ARE ZERO: A. BUCKLING LOAD B. COMPATABILITY C. EQUILIBRIUM D. STABILITY ANSWER: C. 57. A MILD STEEL COLUMN IS HOLLOW AND CIRCULAR IN CROSS SECTION WITH AN EXTERNAL DIAMETER OF 350 mm AND INTERNAL DIAMETER OF 300 mm. IT CARRIES A COMPRESSIVE LOAD OF 200 Kn. THE SHORTENING OF THE COLUMN IF ITS INITIAL HEIGHT IS 5 m AND E = 200000 N/mm 2 . A.

78.4 N/mm 2 B. -0.00039 C. 1.95 mm D. NONE ON THE LIST ANSWER: C. 58. FIND THE CONSTANT OF 81HP IN A 3 INCHES COLD ROLLED LINE SHAFTING WHICH TRANSMITTED 210 RMP. A. B. C. D.

900 600 800 500

ANSWER: A. 59. A STEEL WIRE 10 M. LONG , HANGING VERTICALLY SUPPORTS A TENSILE LOAD OF 1000 N. NEGLECTING THE WEIGHT OF THE WIRE, DETERMINE THE REQUIRED DIAMETER IF THE ELONGATION IS NOT TO EXCEED 2.5 MM. ASSUME E = 200 GPa. A. B. C. D.

5.046 MM. 3.596 MM. 4.297 MM. 6.382 MM.

ANSWER: A. 60. THE RATIO OF THE LATERAL EXPANSION TO THE LONGITUDINAL SHORTENING OF A CONCRETE CYLINDER WHEN SUBJECTED TO COMPRESSIVE LOAD. A. B. C. D.

MODULUS OF ELASTICITY POISSON’S RATIO MODULUS OF RUPTURE NONE OF THE ABOVE

ANSWER: B. 61. THE MOMENT OF INERTIA OF ANY PLANE FIGURE CAN BE EXPRESSED IN UNITS OF LENGTH TO THE: A. B. C. D.

FIRST POWER SECOND POWER THIRD POWER FOURTH POWER

ANSWER: D 62. THE MOMENT OF INERTIA ABOUT THE PRINCIPAL X – X AXIS OF A CROSS SECTION IS: A. B. C. D.

THE THE THE THE

INTEGRAL OF y2dA INTEGRAL OF xdA INTEGRAL OF x2dA INTEGRAL OF xydA

ANSWER: A. 63. THE STRESS IN AN ELASTIC MATERIAL IS: A. B. C. D.

INVERSELY PROPORTIONAL TO THE MATERIALS YIELD STRENGHT INVERSELY PROPORTIONAL TO THE FORCE ACTING PROPORTIONAL TO THE DISPLACEMENT INVERSELY PROPORTIONAL TO THE STRAIN

ANSWER: C. 64. PRINCIPAL STRESSES OCCUR ON THOSE PLANES: A. WHERE THE SHEARING STRESS IS ZERO

B. WHICH ARE 45o APART C. WHERE THE SHEARING STRESS IN MINIMUM D. WHICH ARE SUBJECTED TO PURE TENSION ANSWER: A.

65. POISSON’S RATIO IS THE RATIO OF THE: A. UNIT LATERAL DEFORMATION TO THE UNIT LONGITUDINAL DEFORMATION B. UNIT STRESS TO NUIT STRAIN C. ELASTIC LIMIT TO PROPORTIONAL LIMIT D. SHEAR TO COMPRESSIVE STRAIN ANSWER: A 66. 66. A MILD STEEL COLUMN IS HOLLOW AND CIRCULAR IN CROSS SECTION WITH AN EXTERNAL DIAMETER OF 350 mm AND INTERNAL DIAMETER OF 300 mm. IT CARRIES A COMPRESSIVE LOAD OF 200 Kn. THE SHORTENING OF THE COLUMN IF ITS INITIAL HEIGHT IS 5 m AND E = 200000 N/mm 2 . A. B. C. D.

NONE IN THE LIST 19.60 cm 19.30 in. 19.60 mm.

ANSWER: A. 67. A T-BEAM MADE UP OF A FLANGE AND A WEB, FROM 2 PLATES 20 X 200 mm JIONED TOGETHER TO FROM A T, IS SUBJECTED TO A TENSILE FORCE P WHOSE LINE OF THE FLANGE OF THE T SECTION. THE CENTRIOD OF THE FLANGE OF THE T SECTION. THE CENTRIOD IS 65 mm FROM THE TIP, THE MOMENT OF INERTIA IS 37.7 X 10>6 mm. THE MAXIMUM NORMAL STRESS IS LIMITED TO 150 N/mm>2. A. B. C. D.

5000000N NONE IN THE LIST 14252136546N 681816 N

ANSWER: D. 68. A BAR OF METAL 2mm IN DIAMETER IS TESTED ON A LENGTH OF 250 mm. IN TENSION THE FF. RESULT WERE RECORDED :

LOAD Kn 10.4 31.2 EXTENSION mm 0.036 0.089 THE YOUNG MODULUS E IS NEARLY : A. B. C. D.

80700N/mm>2 2154465N/mm>2 21654024N/mm>2 NONE IN THE LIST

ANSWER: D. 69. A BEAM HAS THE CROSS SECTION 300 mm BY 900mm. IT IS SUBJECTED TO ANORMAL TENSILE FORCE P WHOSE LINE OF ACTION PASSES 100 mm ABOVE THE CENTRION. CALCULATE THE MAXIMUM ALLOWABLE VALUE OF P IF THE MAXIMUM DIRECT STRESS IS LIMITED TO +-150 N/mm>2. A. B. C. D.

2451354KN 21648KN 10224KN 21300 KN

ANSWER: D. 70. THE STRESS FLOW, q OF A BEAM 0.25 m X 50 m IN SECTION THAT IS SUBJECTED TO A SHEAR OF 95 KN is: A. B. C. D.

526 KN NONE IN THE LIST 258 KN/m 285 KN/m

ANSWER: D 71. THE INERTIA PORTION OF THE STREE-STRAI DIAGRAM OF A STEEL IS KNOWN AS THE: A. B. C. D.

ELASTIC RANGE STRAIN HARDENING PLASTIC RANGE MODULUS OF ELONGATION

ANSWER: A.

72. IF A MEMBER IS NOT RESTRAINED AGAINST SWAY,AND HAS HINGED ENDS, AND THE CRITICAL LOAD IS REACHED, THIS MEMBER WILL BUCKLE LATERALLY TURNING INTO THE SHAPE OF; A. B. C. D.

S-CURVE FULL SINEWAVE HALF SINE WAVE NOT IN THE LIST

ANSWER: B. 73. TO DETERMINE THE REQUIRED SECTION MODULUS S, THE MINIMUM M MAX SHOULD BE: A. B. C. D.

MULTIPLIED BY THE MAXIMUM ALLOWABLE BENDING STRESS DIVIDED BY THE MAXIMUM ALLOWABLE BENDING STRESS NONE IN THE LIST DIVIDED BY THE MODULUS OF ELASTICITY E AND MOMENT OF INERTIA

ANSWER: B. 74. IN A LONG COLUMN (SLENDERNESS RATIO > 160) WHICH OF THE FOLLOWING HAS THE GREATEST INFLUENCE ON ITS TENDENCY TO BUCKLE UNDER A COMPRESSIVE LOAD: A. B. C. D.

MODULUS OF ELASTICITY RADIUS OF GYRSTION OF THE COLUMN LENGTH OF THE COLUMN COMPRESSIVE STRENGTH OF THE MATERIAL

ANSWER: C. 75. THE ALLOWABLE LOAD IN SHEAR FOR AN 8.5 mm WELD HAVING AN ALLOWABLE SHEARING OF 124 MPa FOR A TOTAL LENGTH OF 306 mm IS ABOUT : A. B. C. D.

NONE IN THE LIST 1054 N 228000 N 745 N

ANSWER: C.

76. THE MAX. MOMENT OF A BEAM WITH SPAN 7 m.CARRYING A UNIFORM LOAD OF 12 KN/m WITH BOTH ENDS FIXED IS EQUAL TO A. B. C. D.

49 Kn/M 62 Kn/M 32 Kn/M 86 Kn/M

ANSWER: A. 77. A STEEL COLUMN HAS THE FOLLOWING PROPERTIES: MODULUS OF ELASTICITY E = 200000 MPa, YIELD STRENGTH Fy = 200 MPa, LENGTH L= 12 m. MOMENT OF INERTIA I = 37.7 X 10>6 mm>4 AREA = 8000 mm>2. THE ALLOWABLE STRESS IS CLOSEST TO: A. B. C. D.

120 MPa 67.4 MPa 33.7 MPa 91.1 MPa

ANSWER: C. 78. A STEEL WIDE FLANGE BEAM IS LATERALLY SUPPORTED. THE W IDTH OF THE WEB IF THE BEAM IS 700 mm AND WEB THICKNESS IS 10 mm, IF Fy IS EQUAL TO 250 MPa, THE ALLOWABLE BENDING STRESS IS : A. B. C. D.

180 MPa 150 MPa 165 MPa 200 MPa

ANSWER: C. 79. THE MOMENT OF INERTIA OF A TRPEZOID WITH BASE b = 600 mm AND TOP a = 400 mm AND DEPTH d = 900 mm IS NEAREST TO: A. 50 X 10 9 mm4 B. 400 X 10 9 mm4 C. 60 X 10 9 mm4 D. 30 X 109 mm4 ANSWER: D. 80. A RECTANGULAR FOOTING 2 m BY 1.5 m CARRIES A VERTICAL LOAD OF 500 Kn AND MOMENT OF 100 Kn-M IN THE LONGER DIRECTION OF THE

FOOTING. WHAT IS THE MAXIMUM SOIL PRESSURE UNDER THE FOOTING? A. B. C. D.

353 Kn/M2 3000 PSF 267 Kn/M2 533 Kn/M2

ANSWER: C. 81. A STRIP OF STEEL 1 mm THICK IS BENT INTO AN AREA OF A CIRCLE RADUIS 1.0 m E IS EQUAL TO 200GPa. THE MAXIMUM BENDIND STRESS IS: A. B. C. D.

100MPa 50 MPa 200 MPa NONE IN THE LIST

ANASWER: A. 82. THE SHEAR CAPACITY V IF A STEEL WIDE FLANGE SECTION , 600 mm DEEP WHOSE WEB IS 9 mm THICK , IS CLOSEST TO : (ASSUME Fy = 200 MPa) A. B. C. D.

486 Kn 864 Kn 432 Kn 684 Kn

ANSWER: C. 83. A FLAT BAR 50 mm BY 6 mm IN CROSS SECTION IS BENT BY A COUPLE SUCH THAT THE MAXIMUM STRESS IN THE SECTION IS 162 MPa . IF THE MODULUS OF ELASTICITY OF THE MATERIAL IS 200000 N/mm 2 , THE RADIUS OF CURVATURE OF THE BAR IS: A. B. C. D.

370 m 37 m 3.70 m 3700m

ANSWER: C. 84. THE STRUCTURAL I-BEAM SUPPORTING A FLOOR CARRIES A FLOOR LOAD OF OF 4.6 kn/m 2. THE BEAMS SPAN 6.0 m AND ARE SIMPLY

SUPPRTED AT THEIR ENDS. DETERMINE THE CENTER LINE SPAING IF THEIR ENDS. DETERMINE THE CENTER LINE SPAING IF THE ALLOWABLE STRESS IN THE BEAM IS 120 MPa AND THE SECTION MODULUS IS 534 X 10 3 mm3 . A. B. C. D.

3.75 m 3.45 m 4.0 m 3.0 m

ANSWER: D. 85. A FLAT STEEL BAR IS 75 mm WIDE , 9 mm THICK , AND 1.2 m LONG. IT IS BENT BY TWO EQUAL COUPLES APPLIED AT THE ENDS SUCH THAT THE MIDPIONT DEFLECTION IS 40 mm. DETERMINE THE MAGNITUDE OF THE COUPLES. ASSUME E = 200000MPa.\ A. B. C. D.

2001 N-m 1414 N-m 202.5 N-m 707.6 Kn-m

ANSWER: C. 86. A RECTANGULAR SECTION HAS AN MOMENT OF INERTIA Ix = 300 X 106 mm4 AND Iy = 80 X 10 6 mm4 ABOUT AN AXIS INCLINED 45 DEGREES COUNTER – CLOCKWISE WHICH PASSES THROUGH THE CENTROID. A. B. C. D.

250 X 106 mm4 190 X 106 mm4 210 X 106 mm4 230 X 106 mm4

ANSWER: B. 87. A PRECAST BEAM OF LENGTH L IS TO BE LIFTED AT TWO PIONTS. THE TWO PIONTS SHOULD BE AT ______ DISTANCE FROM THE ENDS SO THE MAXIMUM MOMENT IS AS SMALL AS POSSIBLE. A. B. C. D.

0.21 L 0.33 L 0.50 L 0.25 L

ANSWER: A.

88. A SIMPLY SUPORTED BEAM OF LENGTH 7 m HAS A CONCENTRTED COUPLE Mo OF 10 Kn-m APPLIED AT ONE END. THE MAXIMUM DEFLECTION IS LOCATED AT THIS DISTANCE FROM THE APPLIED LOAD. A. B. C. D.

2.50 m 2.252 m 3.95 m 2.75 m

ANSWER: C. 89. A BEAM LENGTH L AND WITH BOTH ENDS FIXED AGAINTS ROTATION CARRIES A CONCENTRATED LOAD E SOMEWHERE ALONG THE SPAN. IF L OBTAINED WHEN CONCENTRATED IS AT THIS DISTANCE FROM ONE OF THE SUPPORTS.. A. B. C. D.

0.23L 0.375 L 0.50 L 0.25 L

ANSWER: A. 90. A PROPED CANTILEVER BEAM (FIXED AT ONE END AND SIMPLY SUPPORTED AT THE OTHER END) HAS A SPAN L OF 6.0 m THE BEAM CARRIES A UNIFORM LOAD w OF 600 kn/m THROUGH OUT THE SPAN . COMPUTE THE ROTATION AT THE SIMPLY SUPPOTED END. A. B. C. D.

1350/EI 10800/EI 5400/EI 2700/EI

ANSWER: D. 91. A SIMPLE BEAM OF LENGTH L HAS A CONCENTRATED LOAD OF P AT A DISTANCE A FROM THE LEFT SUPPOT AND b FROM THE RIGHT SUPPOT. THE MAXIMUM MOMENT IN THE BEAM IS: A. B. C. D.

Pa2 /L NONE IN THE LIST Pa2 /L2 Pab/L

ANSWER: D

92. A SHEAR CENTER OF A H SECTION WITH UNEQUAL FLANGE IS LOCATED REARER TO THE BIGGER FLNGE. IF THE SMALLER FLANGE IS 16 mm BY 100 mm, THE LARGER IS 16 mm BY 200 mm, AND THE WEB IS 9 mm BY 284 mm, THE DISTANCE OF THE SHEAR CENTER FROM THE CENTER O FTHE BIGGER FLANGE IS : A. B. C. D.

248 mm 31.56 mm 142 mm 252.44 mm

ANSWER: B. 93. CALCULATE THE MOMENT APPLIED AT THE END OF A FLAT STEEL BAR 1.2 m LONG THAT WILL PRODUCE A MIDPIONT DEFLECTION OF 40 mm. THE FLAT BAR IS 75 mm WIDE AND 9 mm THICK. USE E = 200000 MPa. A. B. C. D.

202.5 N-m 404.5 N-m 303.5 N-m 505.5 N-m

ANSWER: A. 94. THIS SUBJECT INVOLVED ANALYTICAL METHODS FOR DETERMINING STRENGTH , STIFFNESS( DEFORMATION CHARACTERISTICS) AND STABILITY OF THE VAROUS MEMBER IN AN STRUCTURAL SYSTEM: i. MECHANICS OF MATERIALS ii. STRENGTH OF MATERIALS iii. MECHANICS OF DEFORMABLE BODIES A. B. C. D.

ONE OF THE THREE TWO OF THE THREE ONE OF THE THREE ALL OF THE THREE

ANSWER: D. 95. A METAL SPECIMEN WITH 36 mm DIAMETER AND HAS A LENGTH L = 360 mm . A FORCE OF 300 Kn ELONGATES THE LENGTH BY 1.2 mm. WHAT IS THE ELASTIC MODULUS? A. B. C. D.

198763 MPa 176829 MPa 199999MPa 88419MPa

ANSWER: D. 96. STRESS TENSOR CONTAINS THE FOLLOWING INDEPENDENT STRESSES: A. B. C. D.

6 NORMAL STRESSES + 3 SHEARING STRESSES 6 NORMAL STRESSES + 6 SHEARING STRESSES 3 NORMAL STRESSES + 3 SHEARING STRESSES 3 NORMAL STRESSES + 6 SHEARING STRESSES

ANSWER: C. 97. A SIMPLE BEAM HACING A SPAN OF 10 m. IS SUBJECTED TO A COUPLE AT THE LEFT SUPPOT. AT WHAT DISTANCE FROM THE LEFT SUPPOT WILL MAXIMUM DEFLECTION OCCURS? A. B. C. D.

4.22 m. 0 5.5 m 5m

ANSWER: A. 98. THE ALLOWABLE CAPACITY OF A 10 mm THICK FILLET WELD , E 60 ELECTRODE (Fu = 415 MPa) IS : A. B. C. D.

900 N/mm 880 N/mm 885 N/mm 740 N/mm

ANSWER: B. 99. THE ROTATION OR TWIST IN DEGREES OF A SHAFT, 800 mm LONG, SUBJECTED TO A TORQUE OF 80 N-m, 20 IN DIAMETER, AND SHEAR MODULUS G OF 80000MPa IS: A. B. C. D.

3.95 2.92 NONE IN THE LIST 3.94

ANSWER: C. 100. THE LOCATION OF THE MAXIMUM SHEARING STRESS IN THE STRUCTURAL STEEL ROLLED SECTION IS AT THE :

A. B. C. D.

FLANGE JUNCTION OF WEB AND FLANGE WEB JUNTION OF WEB AND FLANGE UNIFORM A CROSS SECTION WEB NEUTRAL AXIS

ANSWER: D.