For a beam, as shown in the below figure, the maximum deflection lies at<br><img src="/images/question-image/mechanical-engineering/strength-of-materials/1528354290-28.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

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

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

Strength of Materials mcq question image

A

Point A

B

Point B

C

Point C

D

Between points B and C

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

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 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

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

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

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

Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct?

A

1, 2 and 3 only

B

1, 3 and 5 only

C

2, 3 and 4 only

D

2, 4 and 5 only

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 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

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

A