Direction: A single riveted lap Joint of two similar plates as shown in the figure below has the following geometrical and material details.
width of the plate ω = 200 mm, thickness of the plate t = 5 mm, number of rivets n = 3, diameter of the rivet dr = 10 mm, diameter of the rivet hole dr= 11 M mm, allowable tensile stress of the plate σp = 200 MPa, allowable shear stress of the rivet σs = 100 MPa and allowable bearing stress of the rivet σc = 150 MPa.
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If the rivets are to be designed to avoid crushing failure, the maximum permissible load P in kN is
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- 7.50
- 15.00
- 22.50
- 30.00
Correct Option: C
For rivet,
σ | = | ||
3Ar | 3d × t |
∴ Ps = 100 × d × t × 3 = 15 kN
and Pc = 150 × d × t × 3 = 22.5 kN
∴ p = max (15, 22.5) = 22.5 kN