2. The manufactured wood beam carries the concentrated loads shown. What is the maximum safe value of P if the working stress in shear is 6 MPa? 20 mm , 80 mm |3P 2 m 2 m 70 mm NA B 160 mm C I = 15.52 × 10° mm* 1.0 m 1.0 m
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- A wooden joist 15 cm deep by 7.5 cm wide is reinforced by gluing to its lower face a steel strip 7.5 cm wide by 0.3 cm thick. The joist is simply-supported over a span of 3 m and carries a uniformly distributed load of 5000 N. Find the maximum direct stresses in the wood and steel and the maximum shearing stress in the glue. Take Es/Et = 20. (Cambridge) Answer: wood 4.56 MN/m2; steel 52.9 MN/m2; glue 0.21 MN/m2. Show your solutionA cast iron 3m long is completely filled with concrete and used as a vertical strut. If the externaldiameter of the tube is 450mm and the wall is 35mm thick, determine the maximum compressiveload the composite strut can support if the stress in the concrete is not 2N/mm2? By how muchshould the strut shorten under this load? For cast iron EA= 100GN/m2 and for the concrete EB=10GN/m2?Therectangular wood beam is loaded asshown in the figure. Solve thefollowing:What is the maximum bendingstress in the beam?What is the maximum shear stress in the beam?
- A TIMBER BLOCK “400 x 400” mm SQUARE IS REINFORCED ON OPPOSITE SIDES BY A “400” mm AND ‘t’ mm THICK STEEL PLATES. DETERMINE THE THICKNESS ‘t’ SO THAT THE ASSEMBLY WILL SUPPORT AN AXIAL LOAD OF 1000 KN WITHOUT EXCEEDING A MAXIMUM TIMBER STRESS OF 12 MPa OR A MAXIMUM STRESS IN STEEL OF 350 MPa. MODULUS OF ELASTICITY OF STEEL AND TIMBER ARE 210 GPa & 7 GPa RESPECTIVELYA TIMBER BLOCK “B x B” mm SQUARE IS REINFORCED ON OPPOSITE SIDES BY A “B” mm AND ‘t’ mm THICK STEEL PLATES. DETERMINE THE THICKNESS ‘t’ SO THAT THE ASSEMBLY WILL SUPPORT AN AXIAL LOAD OF 1000 KN WITHOUT EXCEEDING A MAXIMUM TIMBER STRESS OF 12 MPa OR A MAXIMUM STRESS IN STEEL OF 350 MPa. MODULUS OF ELASTICITY OF STEEL AND TIMBER ARE 210 GPa & 7 GPa RESPECTIVELY.A piece of wood with a triangular cross section contains a rubberized joint to aangle θ with the vertical. The stress that the wood resists in tension is 20 MPa, the rubber resists10 MPa in tension and 12 MPa in shear. If θ = 60, determine the maximum load P.
- 2. A timber column, 200 mm x 200 mm in cross section, is reinforced on each side by a steel plate 200 mm and t mm thick. Determine the thickness t so that the column will support an axial load of 1350 kN without exceeding a maximum timber stress of 8.30 MPa or a maximum steel stress of 137.90 MPa. The moduli of elasticity are 10.34 GPa for timber and 200 GPa for steel.The wood pole is supported by two cables of 1/4 in. diameter. The turnbuckles in the cables are tightened until the stress in the cables reaches 60000 psi. If the working compressive stress for wood is 200 psi, determine the smallest permissible diameter of the pole.g) the maximum bending stress in timber. Enter your answer in MPa to 2 decimal places.
- A rectangular reinforced concrete beam has a cross-section dimensions b=400mm andoverall depth h= 800mm. The beam as shown in the image below carries asuperimposed dead load of 12 kN/m (excluding the self-Weight of the beam) andspecified live load of 20 kN/m. The beam has a compressive strength of 30Mpa andreinforcement yield strength of 400 Mpa a) What is the self weight of the beam? b) What is the modulus of elasticy and yeild strain of reinforcementA floor is supported by 75 mm x 200 mm wooden joists spaced at 400mm on centers with an effective span of 3m. The total floor load transmitted to the joists is 5kPa. If the unit weight of wood is 6.3 kN/m3 and elastic modulus of wood is 12x103 MPa. W Tributary 400 6001 mm -3m Was kPa FO 400 in Floor (a) Determine the maximum bending stress (fb). (b) Determine the maximum shearing stress (fy). (c) Determine the maximum deflectionA rectangular beam has a width of 300 mm and an effective depth of 500 mm. It is reinforced with 4-32mm Ø bars at the tension side and 2-16mm Ø bars at the compression side. Top bars are placed 65mm from the top of the beam. fc =25 MPa, fy = 415MPa. What is the resulting stress in the reinforcements for tension?