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

In which of the following cases, there exists the situation of Pure Bending in some part of the beam or along the entire beam? i) A simply supported beam subjected to two equally spaced downward concentrated loads ii) A simply supported beam subjected to two equally spaced opposite moments iii) A cantilever beam subjected to clockwise moment at free end iv) An overhanging beam with both side overhangs subjected to different concentrated loads at both the free ends

A

(i) and (iv)

B

(i), (ii) and (iv)

C

(i), (ii) and (iii)

D

(i) and (iii)

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

Consider the following statements with regards to the shear force diagram for the beam ABCD: 1. The beam ABCD is an overhanging beam having supports at A and D only. 2. The beam carries a point load of 20 kN at C. 3. The beam carries a concentrated load of 10 kN at the end B. 4. The beam is an overhanging beam having supports at C and D only. 5. The beam carries a uniformly distributed load of 70 kN over the left hand portion AC only. Which of the above statements are correct?

A

1, 2 and 3 only

B

1, 3 and 5 only

C

2, 3 and 4 only

D

2, 4 and 5 only

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 circular Beam of 0.25 m diameter is subjected to you shear force of 10 kN. Calculate the value of maximum shear stress. .

A

. ] 0.75 N/mm2

B

Take area = 176 m2

C

Take area = 176 m2

D

Take area = 176 m2

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

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

$$\frac{{\text{F}}}{{{\text{bh}}}}$$

B

$$\frac{{{\text{3F}}}}{{{\text{2bh}}}}$$

C

$$\frac{{{\text{2F}}}}{{{\text{bh}}}}$$

D

$$\frac{{{\text{4F}}}}{{{\text{bh}}}}$$

When an open coiled helical compression spring is subjected to an axial compressive load, the maximum shear stress induced in the wire is (where D = Mean diameter of the spring coil, d = Diameter of the spring wire, K = Wahl's stress factor and W = Axial compressive load on the spring)

A

$$\frac{{{\text{WD}}}}{{\pi {{\text{d}}^3}}} \times {\text{K}}$$

B

$$\frac{{2{\text{WD}}}}{{\pi {{\text{d}}^3}}} \times {\text{K}}$$

C

$$\frac{{4{\text{WD}}}}{{\pi {{\text{d}}^3}}} \times {\text{K}}$$

D

$$\frac{{8{\text{WD}}}}{{\pi {{\text{d}}^3}}} \times {\text{K}}$$

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

Consider the following statements regarding types of supports and beams: 1. When both supports of beams are roller supports, the beam is known as simply supported beam. 2. A beam with one end fixed and the other end free is known as fixed beam. 3. A beam with both ends fixed is known as cantilever beam. 4. A beam with one end fixed and the other simply supported is known as propped cantilever. Which of the above statements is/are correct ?

A

1 only

B

1 and 4 only

C

1, 3 and 4 only

D

2, 3 and 4 only

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

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