The lower layer of the beam as shown in the below figure, will be

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 layer at the center of gravity 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

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

For the beam shown in the below figure, the shear force diagram between A and B is
Strength of Materials mcq question image

A

A horizontal line

B

A vertical line

C

An inclined line

D

A parabolic curve

The lower layer of the beam as shown in the below figure, will be

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