The layer at the center of gravity of the beam as shown in the below figure, will be<br> <img src="/images/question-image/mechanical-engineering/strength-of-materials/1528353879-33.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">

For a beam, as shown in the below figure, the deflection at C is (where E = Young's modulus for the beam material and $$I$$ = Moment of inertia of the beam section.)
Strength of Materials in ME mcq question image

Strength of Materials in ME mcq question image

A

$$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$

B

$$\frac{{{\text{W}}{{\text{a}}^2}{{\text{b}}^2}}}{{3{\text{E}}Il}}$$

C

$$\frac{{{\text{Wa}}}}{{{\text{a}}\sqrt 3 {\text{E}}Il}} \times {\left( {{l^2} - {{\text{a}}^2}} \right)^{\frac{3}{2}}}$$

D

$$\frac{{5{\text{W}}{l^3}}}{{384{\text{E}}I}}$$

For a beam, as shown in the below figure, when the load W is applied in the center of the beam, the maximum deflection is
Strength of Materials mcq question image

Strength of Materials mcq question image

A

$$\frac{{{\text{W}}{l^3}}}{{48{\text{E}}I}}$$

B

$$\frac{{5{\text{W}}{l^3}}}{{384{\text{E}}I}}$$

C

$$\frac{{{\text{W}}{l^3}}}{{392{\text{E}}I}}$$

D

$$\frac{{{\text{W}}{l^3}}}{{384{\text{E}}I}}$$

The lower layer of the beam as shown in the below figure, will be
Strength of Materials mcq question image

A

In tension

B

In compression

C

Neither in tension nor in compression

D

None of these

Some small cubes of same height 7 cm but variable length and width are put inside a large cuboid of height 21 cm. Length and width of cuboid is 32 cm and 24 cm, respectively. Small cubes are put such that cubes at the bottom most layer is of similar base area; second layer contains all the cubes of similar base area and third layer have all the cubes of similar base area. Which of the following statement(s) given below is / are TRUE? A: If side of each small cubes at bottom most layer is 8 cm, then maximum number of small cubes that can be put at bottom most layer is 12. B: If maximum of 48 cubes can be put at second layer, then side of each cube at second layer is 6 cm. C: If side of each small cubes at third layer is 1.6 cm, then maximum number of small cubes that can be put at third layer is 300.

A

C

B

A and B

C

A and C

D

B and C

A simply supported beam with a gradually varying load from zero at ‘B’ and ‘w’ per unit length at ‘A’ is shown in the below figure. The shear force at ‘B’ is equal to
Strength of Materials mcq question image

A

$$\frac{{{\text{w}}l}}{6}$$

B

$$\frac{{{\text{w}}l}}{3}$$

C

$${\text{w}}l$$

D

$$\frac{{2{\text{w}}l}}{3}$$

The maximum bending moment for the beam shown in the below figure, lies at a distance of ________ from the end B.
Strength of Materials mcq question image

A

$$\frac{l}{2}$$

B

$$\frac{l}{3}$$

C

$$\frac{l}{{\sqrt 2 }}$$

D

$$\frac{l}{{\sqrt 3 }}$$

For the beam shown in the below figure, the shear force at A is equal to
Strength of Materials mcq question image

A

$$\frac{{{\text{w}}l}}{6}$$

B

$$\frac{{{\text{w}}l}}{3}$$

C

$${\text{w}}l$$

D

$$\frac{{2{\text{w}}l}}{3}$$

The maximum bending moment for the beam shown in the below figure, is
Strength of Materials mcq question image

A

$$\frac{{{\text{w}}{l^2}}}{{3\sqrt 3 }}$$

B

$$\frac{{{\text{w}}{l^2}}}{{6\sqrt 3 }}$$

C

$$\frac{{{\text{w}}{l^2}}}{{9\sqrt 3 }}$$

D

$$\frac{{{\text{w}}{l^2}}}{{12\sqrt 3 }}$$

For a beam, as shown in the below figure, the maximum deflection lies at
Strength of Materials mcq question image

A

$$\frac{l}{3}$$ from B

B

$$\frac{l}{3}$$ from A

C

$$\sqrt {\frac{{{l^2} - {{\text{a}}^2}}}{3}} $$ from B

D

$$\sqrt {\frac{{{l^2} - {{\text{b}}^2}}}{3}} $$ from A

A simply supported beam of length 'l' carries a point load 'W' at a point C as shown in the below figure. The maximum deflection lies at
Strength of Materials mcq question image

A

Point A

B

Point B

C

Point C

D

Between points B and C

The layer at the center of gravity of the beam as shown in the below figure, will be

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