Sinhgad InstitutesSubject - Strength of Materials

ID

If D is the diameter of the sphere, then volumetric strain is equal toQuestion

two times the strain of diameterA

1.5 times the strain of diameterB

three times the strain of diameterC

the strain of diameterD

CAnswer

2Marks

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ID

If L be the length and D be the diameter of cylindrical rod, then volumetric strain of the rod is equal to

Question

strain of length plus strain of diameterA

strain of diameterB

strain of length plus twice the strain of diameterC

strain of lengthD

CAnswer

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ID

the extension per unit length of the rod due to suddenly applied load as compare to same load gradually applied to same rod is

Question

sameA

doubleB

three timesC

halfD

BAnswer

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ID

The tensile force at a distance y from support in a vertical hanging bar of length L whch carries a load P at the bottom is equal to---- where w = weight per unit length

Question

PA

P+wLB

P+w(L-y)C

P+wyD

CAnswer

2Marks

B1Unit

ID

Total elongation produced in a bar due to its self weight is given by……….. Where ρ is the density of material in kg/m3

Question

9.81ρL2/EA

9.81ρL2/2EB

9.81ρL/EC

9.81ρ2L/2ED

BAnswer

2Marks

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ID

The elongation of circular tapered rod is given by…………. Where P=axial pull and d1, d2= diameters at two ends.

Question

4PL/πEd1d2A

2PL/πEd1d2B

4PL/Ed1d2C

4P2L/Ed1d2D

AAnswer

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ID

If a bar of length L m extends by l mm under load W, the strain isQuestion

1000 l/LA

l/LB

0.001 l/LC

none of the aboveD

CAnswer

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ID

Four wires of same material are applied the same load. In which of the following cases, the elongation will be maximum (length, diameter)?

Question

2m, 1mmA

4m, 2mmB

8m, 4mmC

12m, 6mmD

AAnswer

2Marks

B1Unit

.

ID

If ES = 3 EA , the stress in steel of a composite bar made of aluminium and steel strips each having a cross sectional area of 300 mm2 and subjected to an axial load of 12 kN

Question

10MpaA

20MpaB

30MpaC

40MpaD

CAnswer

2Marks

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ID

The modulus of rigidity in terms of modulus of elasticity is given byQuestion

E/2(1-γ)A

E/2(1+γ)B

2E/(1-γ)C

2E/(1+γ)D

BAnswer

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ID

The modulus of elasticity in terms of bulk modulus is given byQuestion

3K/(1+2γ)A

3K(1+2γ)B

3K/(1-2γ)C

3K(1-2γ)D

DAnswer

2Marks

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ID

The ratio of Young's modulus and bulk modulus is given byQuestion

3/(1+2γ)A

3(1+2γ)B

3/(1-2γ)C

3(1-2γ)D

DAnswer

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ID

The modulus of elasticity in terms of bulk modulus and modulus of rigidity is given by

Question

9KG/(3K+G)A

9KG/(K+3G)B

(3K+G)/9KGC

(K+3G)/9KGD

AAnswer

2Marks

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ID

For a Poisson's ratio of 0.4 for a material the ratio of shear modulus of elasticity to modulus of rigidity is

Question

14/5A

5/7B

7/5C

5/14D

DAnswer

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ID

A material has modulus of rigidity equal to 0.4x105 N/mm2 and Bulk modulus equal to 0.95 x105 N/mm2 The Young’s modulus value in GPa is..

Question

115A

105B

145C

175D

BAnswer

2Marks

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ID

A bar of 30 mm diameter is subjected to an axial force 280 KN length of bar is 400 m and E= 200GPa. Determine volumetric strain if m=4.

Question

1.46x10-3A

9.9 x 10-4B

2.9 x 10-3C

1.48 x 10-4D

BAnswer

2Marks

B1Unit

ID

A rail 20 m long is prevented from expansion at both end . If the temperature is raised by 30 0C, Stress induced in rail is.. E=200 Gpa,α =12x10-6/°C

Question

24 MpaA

48MpaB

72MpaC

94MpaD

CAnswer

2Marks

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ID

10. A tensile material is having Young’s modulus 2.1 x105 N/mm2 and modulus of Rigidity is 0.82 x105 N/mm2. The value of Bulk Modulus is ..

Question

1.4 x105 N/mm2 A

1.6 x105 N/mm2B

1.81 x105 N/mm2C

1.5 x105 N/mm2D

BAnswer

2Marks

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ID

A steel rod of length is manufactured at a temperature 200C and its temperature increases upto 1350C.What are thermal stresses induced?E=200Gpa,α=12*10-6/0C

Question

312MpaA

310MpaB

320MpaC

276MpaD

DAnswer

2Marks

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ID

A steel rod of 3m is manufactured at 250C the temperature of rod is increases to 1250C. If free expansion is 3.6mm, what is the temperature stresses produced if 1.5mm expansion is permitted?

Question

100MpaA

200MpaB

150MpaC

140MpaD

DAnswer

2Marks

B1Unit

ID

A steel rod of 3m length is manufactured at 250C the temperature of this rod increases to 1250C. What is the free expansion? Take E=200Gpa, α=12*10-6/0C,diameter=12mm

Question

3.2mmA

2.6mmB

4mmC

3.6mmD

DAnswer

2Marks

B1Unit

ID

A steel tube (E = 200 GPa) has an internal diameter of 40 mm, thickness 10 mm and a length of 2 m. If it is subjected to an axial pull of 80 kN, the stress in the tube will be___________MPa.

Question

28.3A

50.13B

84.88C

113.18D

BAnswer

2Marks

B1Unit

ID

A steel tube (E= 200Gpa) has an internal diameter of 40 mm, thickness 10 mm and a length of 2 m. If it is subjected to an axial pull of 80 kN, the change in length of the tube will be___________mm.

Question

0.283A

0.50B

0.85C

0.113D

BAnswer

2Marks

B1Unit

ID

The axial force in the portion AB of the member shown in Fig. 1.1 is kN.

Question

50A

-50B

40C

-40D

AAnswer

2Marks

B1Unit

ID

If the member shown in Fig. 1.1 has a square cross section of 25 mm25 mm and E = 200 GPa, the change in length of portion AB is

mm.

Question

+0.24A

-0.24B

+0.32C

-0.32D

AAnswer

2Marks

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ID

The axial force in the portion BC of the member shown in Fig. 1.1 is

kN.

Question

50A

-50B

40C

-40D

DAnswer

2Marks

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ID

If the member shown in Fig. 1.1 has asquare cross section of 25 mm 25 mm and E = 200 GPa, the change in length of portion CD is ------mm

Question

+0.16A

-0.16B

+0.24C

-0.24D

BAnswer

2Marks

B1Unit

ID

The axially loaded composite rod shown in Fig. 1.2 has a uniform cross-sectional area of 500 mm 2 . The modulii of elasticity are Est = 200 GPa, Eal = 70 GPa and Ecu = 120 GPa. The change in length of CD is mm.

Question

0.15A

-0.15B

0.24C

-0.24D

AAnswer

2Marks

B1Unit

ID

The axially loaded composite rod shown in Fig. 1.2 has a uniform cross-sectional area of 500 mm 2 . The modulii of elasticity are Est = 200 GPa, Eal = 70 GPa and Ecu = 120 GPa. The change in length of the composite rod is mm.

Question

0.95A

-0.95B

0.5C

-0.5D

BAnswer

2Marks

B1Unit

ID

For the stepped rod shown in Fig. 1.3, the stress is maximum in .Question

AluminumA

CopperB

SteelC

None of theseD

CAnswer

2Marks

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ID

For the stepped rod shown in Fig. 1.3,the elongation is maximumin .

Question

AluminumA

CopperB

SteelC

None of theseD

AAnswer

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ID

For the stepped rod shown in Fig. 1.3, the elongation isminimum in

Question

AluminumA

CopperB

SteelC

None of theseD

BAnswer

2Marks

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ID

A steel bar ABC (E = 200 GPa) is 1 m long. For AB = 0.7 m, it has cross section P area of 500 mm2 and for BC = 0.3 m the cross section area is 400 mm2. The bar is subjected to an axial pull of 100 kN. The stress is maximum in __________

Question

ABA

BCB

same throughoutC

None of theseD

BAnswer

2Marks

B1Unit

m

ID

A stepped bar of steel consists of a portion with cross section area

500 mm2 connected to a portion with cross section area 1000 2. Each portion has a length of 1 m. The modulus of elasticity of steel is 200 GPa. The maximum elongation of the bar by applying an axial tensile force at the ends without exceeding a stress of 100 MPa is mm.

Question

0.5A

0.75B

0.1C

0.15D

BAnswer

2Marks

B1Unit

ID

The change in length of a rod of uniform circular cross section was found to be 2 mm for some applied force. The change in length of a rod of the same material and length but of half the diameter subjected to the same force will be Mm

Question

1A

2B

0.5C

4D

DAnswer

2Marks

B1Unit

ID

A strip of steel (E = 200 GPa, 0.25) has a length of 1 m, width of 200 mm and thickness of 10 mm. A line of length 1 m is drawn parallel to its length on one of its side surfaces. When the strip is subjected to an axial tensile force of100 kN, the length of the line will be mm.

Question

1000A

1000.25B

999.25C

0.25D

BAnswer

2Marks

B1Unit

ID

The change in length of a rod of uniform cross section was found to be 2 mm for some applied force. The change in length of a rod of the same material and length but of twice the cross section area subjected to the same force will be__ mm.

Question

1A

2B

0.5C

4D

AAnswer

2Marks

B1Unit

ID

Two rods have uniform cross section areas in the ratio 1 : 2 and are subjected to axial tensile forces with magnitudes in the ratio 2 : 1. The stresses induced in the two rods will be in the ratio ___________.

Question

1 : 2A

2 : 1B

1 : 1C

4 : 1D

DAnswer

2Marks

B1Unit

ID

Two rods have uniform cross section areas in the ratio 1 : 2 and are subjected to axial tensile forces with magnitudes in the ratio 1 : 2. The stresses induced in the two rods will be in the ratio ___________.

Question

1:1A

1:2B

1:1C

4:1D

CAnswer

2Marks

B1Unit

ID

Two rods have uniform cross section areas in the ratio 1 : 2 and are subjected to axial tensile forces of the same magnitude. The stresses induced in the two rods will be in the ratio ___________.

Question

1 : 2A

2 : 1B

1 : 1C

4 : 1D

BAnswer

2Marks

B1Unit

ID

If an axial force of 15 kN is applied to a rod of 25 mm diameter, length 300 mm, the change in length of the rod was observed to be 0.045 mm. The modulus of elasticity of the material is 200 GPa. The strain in the rod will be ___________.

Question

1.5A

1.5*10-4B

1.33*10-3C

0.0455D

BAnswer

2Marks

B1Unit

ID

If an axial force of 1 kN is applied to a rod of 100 mm cross section area produces change in length of 1 mm over a length of 12 m, the modulus of elasticity of the material will be---------

Question

120MpaA

10GpaB

12GpaC

120GpaD

DAnswer

2Marks

B1Unit

ID

If an axial force of 1 kN is applied to a rod of 100 mm2cross section area, length 5 m and the modulus of elasticity of thematerial is 100 GPa, the change in length of the rod will be ___________.

Question

1mmA

1.2mmB

0.5mmC

0.25mmD

CAnswer

2Marks

B1Unit

ID

The longitudinal stress developed in a rod of cross section

area 50 mm2 is 100 MPa. The force acting along its axis is -------

Question

2NA

2.5KNB

5NC

5.5KND

DAnswer

2Marks

B1Unit

ID

If an axial force of 1 kN is applied to a steel rod of 100 mm2 cross section area, the stress in it will be ___________.

Question

10MpaA

10GpaB

1MpaC

1GpaD

AAnswer

2Marks

B1Unit

ID

Two equal and opposite forces of magnitude 10 kN are applied at the ends of a steel wire to increase its length. The internal force in the

wire will be-----KN

Question

0A

10B

20C

15D

BAnswer

2Marks

B1Unit

ID

The value of factor of safety is always___________.

Question

>1A

<1B

=1C

=0D

AAnswer

2Marks

B1Unit

ID

The value of margin of safety is always___________.

Question

>1A

<1B

=1C

=0D

DAnswer

2Marks

B1Unit

ID

A steel rod of uniform cross section is loaded as shown in Fig. 1.6. The cross section area of rod is 250 mmand the value of x for which there is no change in length of the rod is ----- mm.

Question

200A

400B

100C

None of theseD

BAnswer

2Marks

B1Unit

ID

The rigid bar ABC shown in Fig. 1.4 is hinged at A and supported by a steel rod at B. The steel rod at B has a cross sectional area of 250 mm and a length of 400 mm. The modulus of elasticity for steel is 200 GPa. If P = 5 kN, the stress in steel rod is MPa.

Question

10A

100B

20C

50D

DAnswer

2Marks

B1Unit