When a beam of rectangular cross-section of width b and depth d, is subjected to a shear force F, the maximum shear stress induced will be

A rectangular beam of 500 mm wide is subjected to maximum shear force of 250kN, the corresponding maximum shear stress been 3 N/mm2. The depth of the beam is equal to ______

A

200mm

B

250mm

C

300mm

D

350mm

Tresca or maximum-shear stress criteria assumes that yielding occurs when the maximum shear stress reaches a value of the shear stress in the uniaxial tension test. Assume the principal stress being σ1, σ2, σ3 where σ1 is largest, and σ3 is the smallest principal stresses. Find the value of minimum shear stress to cause yielding, given that yield stress in tension is equal to σo?

A

τ = σo

B

τ = σo/2

C

τ = σo/3

D

τ = σo/4

The rectangular beam 'A' has length ‘l’, width ‘b’ and depth ‘d’. Another beam 'B' has the same length and depth but width is double that of 'A'. The elastic strength of beam 'B' will be _________ as compared to beam ‘A’.

A

Same

B

Double

C

Four times

D

Six times

The rectangular beam 'A ' has length l, width b and depth d. Another beam 'B' has the same width and depth but length is double that of 'A'. The elastic strength of beam 'B' will be __________ as compared to beam A.

A

Same

B

One-half

C

One-fourth

D

One-eighth

The rectangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and width but depth is double that of 'A'. The elastic strength of beam B will be __________ as compared to beam A.

A

Same

B

Double

C

Four times

D

Six times

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be

A

400 MPa

B

500 MPa

C

900 MPa

D

1400 MPa

A rectangular beam 100 mm wide is subjected to a maximum shear force and 50 kN. Find the depth of the beam.

A

350 mm

B

185 mm

C

200 mm

D

250 mm

When a circular beam of diameter d is subjected to a shear force F, the maximum shear stress induced will be

A

$$\frac{{4{\text{F}}}}{{\pi {{\text{d}}^2}}}$$

B

$$\frac{{{\text{6F}}}}{{\pi {{\text{d}}^2}}}$$

C

$$\frac{{{\text{8F}}}}{{\pi {{\text{d}}^2}}}$$

D

$$\frac{{{\text{16F}}}}{{3\pi {{\text{d}}^2}}}$$

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be

A

400 MPa

B

500 MPa

C

900 MPa

D

1400 MPa

‘P’ is the pre-stressed force applied to the tendon of a rectangular pre-stressed beam whose area of cross section is ‘A’ and sectional modulus is ‘Z’. The maximum stress ‘f’ in the beam, subjected to a maximum bending moment ‘M’, is

A

$${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{Z}}}{{\text{M}}}$$

B

$${\text{f}} = \frac{{\text{A}}}{{\text{P}}} - \frac{{\text{M}}}{{\text{Z}}}$$

C

$${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{\text{Z}}}$$

D

$${\text{f}} = \frac{{\text{P}}}{{\text{A}}} - \frac{{\text{M}}}{{6{\text{Z}}}}$$

When a beam of rectangular cross-section of width b and depth d, is subjected to a shear force F, the maximum shear stress induced will be

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