For the beam shown in the below figure, the shear force at A is equal to<br><img src="/images/question-image/mechanical-engineering/strength-of-materials/1528354095-25.JPG" title="Strength of Materials mcq question image" alt="Strength of Materials mcq question image">

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

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

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

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

Correct Answer: $$\frac{{{\text{w}}l}}{3}$$

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 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

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

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

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

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

For the beam shown in the below figure, the shear force diagram between A and B is

A horizontal line

A vertical line

An inclined line

A parabolic curve

Shear stress versus shear rate behavior of four different types of fluids (I, II, III and IV) are shown in the figure below.

Which one of the following options is correct?

I-Newtonian, II-Bingham plastic, III-Dilatant, IV-Pseudoplastic

I-Pseudoplastic, II-Dilatant, III-Newtonian, IV-Bingham plastic

I-Newtonian, II-Pseudoplastic, III-Bingham plastic, IV-Dilatant

I-Newtonian, II-Bingham plastic, III-Pseudoplastic, IV-Dilatant

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

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

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

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

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

The state of stress at a point in a loaded member is shown in the below figure. The magnitude of maximum shear stress is

10 MPa

30 MPa

50 MPa

100 MPa

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

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

In tension

In compression

Neither in tension nor in compression

None of these

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

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

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

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

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