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<br><img src="/images/question-image/mechanical-engineering/strength-of-materials/1528355034-28.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">

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

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

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

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

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

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.)

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

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

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

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

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

Point A

Point B

Point C

Between points B and C

For a beam, as shown in the below figure, the maximum deflection lies at

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

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

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

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

The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is

10.8 t

10.6 t

10.4 t

10.2 t

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

In tension

In compression

Neither in tension nor in compression

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

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

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

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

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

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

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

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

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

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

The maximum bending moment for the beam shown in the below figure, is

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

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

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

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

The ratio of the reactions RA and RB of a simply supported beam shown in below figure is

0.50

0.40

0.67

1.00

The reaction at the support B of the beam shown in below figure is

1.6 t

9.6 t

8.5 t

0.5 t