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 <br> <img src="/images/question-image/mechanical-engineering/strength-of-materials/1528353825-25.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: $$\frac{{{\text{w}}l}}{6}$$

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 deflection at C is (where E = Young's modulus for the beam material and $$I$$ = Moment of inertia of the beam section.)

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

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

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

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

For the beam shown in the below figure, the shear force at A 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

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 shear force at the center of a simply supported beam with a gradually varying load from zero at both ends to w per meter at the center, is

Zero

$$\frac{{{\text{w}}l}}{4}$$

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

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

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

The shear force of a cantilever beam of length $$l$$ and carrying a gradually varying load from zero at the free end and w per unit length at the fixed end is _________ at the fixed end.

Zero

$$\frac{{{\text{w}}l}}{4}$$

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

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

The shear force diagram for a cantilever beam of length l and carrying a gradually varying load from zero at free end and w per unit length at the fixed end is a

Horizontal straight line

Vertical straight line

Inclined line

Parabolic curve

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