horizontal shear stress

Solution to Problem 599 | Spacing of Rivets or Bolts in Built-Up Beams

599 Wide Flange on top of the other and bolted together

Problem 599

A beam is formed by bolting together two W200 × 100 sections as shown in Fig. P-599. It is used to support a uniformly distributed load of 30 kN/m (including the weight of the beam) on a simply supported span of 10 m. Compute the maximum flexural stress and the pitch between bolts that have a shearing strength of 30 kN.

 

Solution to Problem 598 | Spacing of Rivets or Bolts in Built-Up Beams

598 Bolted Back-to-back Channels

Problem 598

As shown in Fig. P-598, two C380 × 60 channels are riveted together by pairs of 19-mm rivets spaced 200 mm apart along the length of the beam. What maximum vertical shear V can be applied to the section without exceeding the stresses given in Illustrative Problem 591?

 

Solution to Problem 597 | Spacing of Rivets or Bolts in Built-Up Beams

597 Built-up Girder from Plate and Angles

Problem 597

A plate and angle girder similar to that shown in Fig. 5-32 is fabricated by riveting the short legs of four 125 × 75 × 13 mm angles to a web plate 1000 mm by 10 mm to form a section 1020 mm deep. Cover plates, each 300 mm × 10 mm, are then riveted to the flange angles making the overall height 1040 mm. The moment of inertia of the entire section about the NA is I = 4770 × 106 mm4. Using the allowable stresses specified in Illustrative Problem 591, determine the rivet pitch for 22-mm rivets, attaching the angles to the web plate at a section where V = 450 kN.

 

Solution to Problem 596 | Spacing of Rivets or Bolts in Built-Up Beams

596 Three Planks Secured by Bolts

Problem 596

Three planks 4 in by 6 in., arranged as shown in Fig. P-596 and secured by bolts spaced 1 ft apart, are used to support a concentrated load P at the center of a simply supported span 12 ft long. If P causes a maximum flexural stress of 1200 psi, determine the bolt diameters, assuming that the shear between the planks is transmitted by friction only. The bolts are tightened to a tension of 20 ksi and the coefficient of friction between the planks is 0.40.

 

Solution to Problem 595 | Spacing of Rivets or Bolts in Built-Up Beams

Problem 595

595-box-beam-held-by-screws.jpgA concentrated load P is carried at midspan of a simply supported 12-ft span. The beam is made of 2-in. by 6-in. pieces screwed together, as shown in Fig. P-595. If the maximum flexural stress developed is 1400 psi, find the maximum shearing stress and the pitch of the screws if each screw can resist 200 lb.

 

Solution to Problem 594 | Spacing of Rivets or Bolts in Built-Up Beams

Problem 594

A distributed load of wo lb/ft is applied over a middle 6 ft of a simply supported span 12 ft long. The beam section is that in Prob. 593, but used here so that the 8-in dimension is vertical. Determine the maximum value of wo if fb ≤ 1200 psi, fv ≤ 120 psi, and the screws have a shear strength of 200 lb and a pitch of 2 in.

 

Solution to Problem 593 | Spacing of Rivets or Bolts in Built-Up Beams

593 Box Beam Secured by Screws

Problem 593

A box beam, built up as shown in Fig. P-593, is secured by screws spaced 5 in. apart. The beam supports a concentrated load P at the third point of a simply supported span 12 ft long. Determine the maximum value of P that will not exceed fv = 120 psi in the beam or a shearing force of 300 lb in the screws. What is the maximum flexural stress in the beam?

 

Solution to Problem 592 | Spacing of Rivets or Bolts in Built-Up Beams

592 Wide Flanged From Bolting Three Planks

Problem 592

A wide flange section is formed by bolting together three planks, each 80 mm by 200 mm, arranged as shown in Fig. P-592. If each bolt can withstand a shearing force of 8 kN, determine the pitch if the beam is loaded so as to cause a maximum shearing stress of 1.4 MPa.

 

Solution to Problem 590 | Design for Flexure and Shear

590 Box beam overhang at one end and loaded with uniform and concentrated loads

Problem 590

A box beam carries a distributed load of 200 lb/ft and a concentrated load P as shown in Fig. P-590. Determine the maximum value of P if fb ≤ 1200 psi and fv ≤ 150 psi.

 

Solution to Problem 589 | Design for Flexure and Shear

589 Overhang beam loaded with contrated and rectangular loads

Problem 589

A channel section carries a concentrated loads W and a total distributed load of 4W as shown in Fig. P-589. Verify that the NA is 2.17 in. above the bottom and that INA = 62 in4. Use these values to determine the maximum value of W that will not exceed allowable stresses in tension of 6,000 psi, in compression of 10,000 psi, or in shear of 8,000 psi.

 

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