A beam of the triangular section having a base width of 100 mm and height of 150 mm is subjected to a shear force of 15 kN. Find the value of the maximum shear stress.

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DDA JE Civil 29 Mar 2023 Shift 2 Official Paper
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  1. 2 MPa
  2. MPa
  3. MPa
  4. MPa

Answer (Detailed Solution Below)

Option 3 : 3 MPa
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Detailed Solution

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Concept:

Table showing relations between τmax, τN.A and τavg

Sr no.

Section

τmax­avg

τN.A­avg

1.

Rectangular/square

3/2

3/2

2.

Circular

4/3

4/3

3.

Triangle

3/2

4/3

4.

Diamond

9/8

1

Calculations:

V = 15 KN

b = 100 mm

h = 150 mm

For triangular cross-section.

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