STATICS+MECHANICS OF MATERIALS-ACCESS
2nd Edition
ISBN: 9781259748684
Author: BEER
Publisher: MCG
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Three boards, each of 1.5 x3.5-in. rectangular cross section, are nailed together to form a beam that is subjected to a vertical shear of 250 lb. Knowing that the spacing between each pair of nails is 2.5 in., determine the shearing force in each nail.
Four L102 x 102 x 9.5 steel angle shapes and a 12 x 400-mm steel plate are bolted together to form a beam with the cross section shown. The bolts are of 22-mm diameter and are spaced longitudinally every 120 mm. Knowing that the beam is subjected to a vertical shear of 240 kN, determine the average shearing stress in each bolt.
The American Standard rolled-steel beam shown has been reinforced by attaching to it two 16 x 200-mm plates, using 18-mm-diameter bolts spaced longitudinally every 120 mm. Knowing that the average allowable shearing stress in the bolts is 90 MPa, determine the largest permissible vertical shearing force.
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- Knowing that a given vertical shear V causes a maximum shearing stress of 50 MPa in a thin-walled member having the cross section shown, determine the corresponding shearing stress at (a) point a, (b) point b, (c) point c.arrow_forwardAn extruded aluminum beam has the cross section shown. Knowing that the vertical shear in the beam is 150 kN, determine the corresponding shearing stress at (a) point a, (b) point b.arrow_forwardA beam consists of three planks connected by steel bolts with a lon-gitudinal spacing of 225 mm. Knowing that the shear in the beam is vertical and equal to 6 kN and that the allowable average shearing stress in each bolt is 60 MPa, determine the smallest permissible bolt diameter that can be usedarrow_forward
- two 20 x 100-mm and two 20 x 180 mm boards are glued together as shown to form a 120 x 200 mm box beam. Knowing that the beams are subjected to a vertical shear of 3.625 kN. Determin the average shearing stress in the glued joint at Barrow_forwardThe built-up wooden beam shown is subjected to a vertical shear of 8 kN. Knowing that the nails are spaced longitudinally every 60 mm at A and every 25 mm at B, determine the shearing force in the nails (a) at A, (b) at B. (Given: Ix= 1.504 * 109 mm4)arrow_forwardTwo 20 × 100-mm and two 20 × 180-mm boards are glued together as shown to form a 120 × 200-mm box beam. Know that the beam is subjected to a vertical shear of 3.625 kN. Determine the average shearing stress in the glued joint at B.arrow_forward
- The built-up timber beam is subjected to a vertical shear of 1200 lb.Knowing that the allowable shearing force in the nails is 75 lb, determine the largest permissible spacing s of the nails.arrow_forwardThree 1 x 18-in. steel plates are bolted to four L6 x 6 x 1 angles to form a beam with the cross section shown. The bolts have a 78-in. diameter and are spaced longitudinally every 5 in. Knowing that the allowable average shearing stress in the bolts is 12 ksi, determine the largest permissible vertical shear in the beam. (Given: Ix= 6123 in4.)arrow_forwardThe wooden members A and B are to be joined by plywood splice plates that will be fully glued on the surfaces in contact. As part of the design of the joint, and knowing that the clearance between the ends of the members is to be 8 mm, determine the smallest allowable length L if the average shearing stress in the glue is not to exceed 800 kPa.arrow_forward
- Three boards are nailed together to form a beam shown, which is sub-jected to a vertical shear. Knowing that the spacing between the nails is s5 75 mm and that the allowable shearing force in each nail is 400 N, determine the allowable shear when w= 100 mmarrow_forwardAn extruded beam has the cross section shown and a uniform wall thickness of 0.20 in. Knowing that a given vertical shear V causes a maximum shearing stress τ= 9 ksi, determine the shearing stress at the four points indicated. assuming that the beam is subjected to a horizontal shear Varrow_forwardThe extruded aluminum beam shown has a uniform wall thickness of 1/8 in. Knowing that the vertical shear in the beam is 2 kips, determine the corresponding shearing stress at each of the five points indicated.arrow_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License