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Problem 126 The lap joint shown in Fig. P-126 is fastened by four ¾-in.-diameter rivets. Calculatethe maximum safe load P that can be applied if the shearing stress in the rivets islimited to 14 ksi and the bearing stress in the plates is limited to 18 ksi. Assume the

applied load is uniformly distributed among the four rivets.

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Based on shearing of rivets:

Based on bearing of plates:

Safe load P,answer

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Problem 128 A W18 × 86 beam is riveted to a W24 × 117 girder by aconnection similar to that in Fig. 1-13. The diameter of therivets is 7/8 in., and the angles are each L4 × 3-1/2 × 3/8 in..For each rivet, assume that the allowable stresses are τ = 15ksi and σ b = 32 ksi. Find the allowable load on the connection.

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Given: Shape of beam = W18 × 86Shape of girder = W24 × 117Shape of angles = L4 × 3-1/2 × 3/8Diameter of rivets = 7/8 inch

Allowable shear stress = 15 ksiAllowable bearing stress = 32 ksi

Required: Allowable load on the connection

Relevant data from the table (Appendix B of textbook): Properties of Wide-FlangeSections (W shapes): U.S. Customary Units

Designation Web thickness

W18 × 86 0.480 in

W24 × 117 0.550 in

Shearing strength of rivets: There are 8 single-shear rivets in the girder and 4 double-shear (equivalent to 8 single-shear) in the beam, thus, the shear strength of rivets in girder and beam are equal.

Bearing strength on the girder: The thickness of girder W24 × 117 is 0.550 inch while that of the angle clip L4 × 3-1/2× 3/8 is 3/8 or 0.375 inch, thus, the critical in bearing is the clip.

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Bearing strength on the beam: The thickness of beam W18 × 86 is 0.480 inch while that of the clip angle is 2 × 0.375= 0.75 inch (clip angles are on both sides of the beam), thus, the critical in bearing isthe beam.

The allowable load on the connection isanswer

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Problem 131 Repeat Problem 130 if the rivet diameter is 22 mm and all other dataremain unchanged. - See more at: http://www.mathalino.com/reviewer/mechanics-and-strength-of-materials/solution-to-problem-131-bearing-stress#sthash.UaNyjj30.dpuf

For member BC:

(Tension)

Based on shearing of rivets:

say 4 rivets

Based on bearing of member:

say 6 rivets

Use 6 rivets for member BC. answer

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Tensile stress:

answer

For member BE:

(Compression)

Based on shearing of rivets:

say 4 rivets

Based on bearing of member:

say 2 rivets

Use 4 rivets for member BE answer

Compressive stress:

answer