The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

A

$$\frac{{{{\text{b}}^3}{\text{h}}}}{{12}}$$

B

$$\frac{{{\text{b}}{{\text{h}}^3}}}{3}$$

C

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{36}}$$

D

$$\frac{{{\text{b}}{{\text{h}}^3}}}{2}$$

The ratio of the moment of inertia of a rectangle about its centroidal axis to the moment of inertia about its base, is

A

$$\frac{1}{4}$$

B

$$\frac{1}{2}$$

C

$$\frac{3}{4}$$

D

$$2$$

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A

Nine times

B

Six times

C

Four times

D

Two times

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is

A

$$\frac{{{\text{b}}{{\text{h}}^3}}}{4}$$

B

$$\frac{{{\text{b}}{{\text{h}}^3}}}{8}$$

C

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{12}}$$

D

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{36}}$$

In order to have a connecting rod equally strong in buckling about X-axis and Y-axis, the moment of inertia about X-axis should be __________ the moment of inertia about Y-axis.

A

Equal to

B

Twice

C

Three times

D

Four times

Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

A

$$\frac{{{\text{b}}{{\text{h}}^3}}}{4}$$

B

$$\frac{{{\text{b}}{{\text{h}}^3}}}{8}$$

C

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{12}}$$

D

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{36}}$$

If the tendon is placed at an eccentricity e below the centroidal axis of the longitudinal axis of a rectangular beam (sectional modulus Z and stressed load P in tendon) the stress at the extreme top edge

A

Is increased by $$\frac{{{\text{PZ}}}}{{\text{e}}}$$

B

Is increased by $$\frac{{{\text{Pe}}}}{{\text{Z}}}$$

C

Is decreased by $$\frac{{{\text{Pe}}}}{{\text{Z}}}$$

D

Remains unchanged

The moment of inertia of a triangular section (height h, base b) about its base, is

A

$$\frac{{{\text{b}}{{\text{h}}^2}}}{{12}}$$

B

$$\frac{{{{\text{b}}^2}{\text{h}}}}{{12}}$$

C

$$\frac{{{\text{b}}{{\text{h}}^3}}}{{12}}$$

D

$$\frac{{{{\text{b}}^3}{\text{h}}}}{{12}}$$

If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.

A

Equal to

B

Less than

C

Greater than

D

None of these

If ‘A’ is the sectional area of a pre-stressed rectangular beam provided with a tendon pre-stressed by a force ‘P’ through its centroidal longitudinal axis, the compressive stress in concrete, is

A

$$\frac{{\text{P}}}{{\text{A}}}$$

B

$$\frac{{\text{A}}}{{\text{P}}}$$

C

$$\frac{{\text{P}}}{{2{\text{A}}}}$$

D

$$\frac{{2{\text{A}}}}{{\text{P}}}$$

The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

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