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- A prismatic beam (as shown below) has plastic moment capacity of Mp, then the collapse load Pof the beam is P P/2 L/2 – - L/2 + L/3A bridge girder AB on a simple span of length L = 20 m supports a distributed load of maximum intensity q at midspan and minimum intensity g/2 at supports A and B that includes the weight of the girder (see figure). The girder is constructed of three plates welded to form the cross section shown. 500 mm L= 20 m 18 mm 1600 mm 500 mm (a) Determine the maximum permissible load q based upon an allowable bending stress oallow = 130 MPa. Round to the nearest tenth. kN Gmax = (b) Determine the maximum permissible load q based upon an allowable shear stresS Tallow = 55 MPa. Round to the nearest tenth. kN Gmax mRod AC below is 2.4 m long, has cross-sectional area of 625 mm2, and is made of an aluminum alloy that has a modulus of elasticity of 75 GPa. Rod BC is 3.6 m long, has cross-sectional area of 387.5 mm2, and is made of structural steel that has a modulus of elasticity of 200 GPa. Determine (a) The axial stresses in the rods.(b) The lengthening of each rod.(c) The horizontal and vertical displacements of point C.
- B 300 mm 15 mm 70 kN 70 kN 20 mm ↑ 500 mm с Steel Aluminum 70 KN + f 70 KN Re A steel rod (20 mm diameter) 500 mm long is connected to two parallel aluminum rods (15 mm diameter) each 300 mm long via a rigid plate as shown. Two 70 kN loads at applied at the end of each aluminum rod. The structure is fixed at both ends resulting in a statically indeterminate system that can be treated as the superposition of two determinate systems as presented above. Note that R, is the reaction at C. Assume Esteel = 200 GPa and Ealuminum = 70 GPa. a) Determine the reaction force at C, Re b) Determine the reaction force at A and B and the normal stress in the steel and aluminum rods c) Which rods are in tension and which are in compression?1 - Determine the maximum shearing stress in the beam for the loading shown in the figure. The same beam cross-section was used in HW 5. 2 KN 0.5m- 1KN - 0.5m 107 30 30 T dimensions in mm lok beam cross-section400mm Find the required spacing of intermediate stiffeners if V*=1600KN 25mm • Check the adequacy of a pair of stiffeners 90mmx12mm • Check the web crushing capacity if the reaction of 1600kN is applied over a stiff bearing length of 250mm at the end of the beam (note that the spread of stress can only go in one direction) • Homework extension: Check the adequacy of an endplate stiffener 300 wide by 16mm thick 12mm Use Grade 300 Steel 1440mm
- A rolled steel beam section ISHB 150 @ 265.85 N/m is used as a stanchion and has an unsupported length of 4.5m. It is effectively held in position but not restrained against rotation at both ends. If the yield stress for steel is 250 N/mm2, then the axial load this stanchion can carry is kN Properties of ISHB 150 @ 265.85 N/m are: A 3448 mm2; rxx = 65mm and ryy = 35.4mm For fy= 250 N/mm² A 120 130 140 150 57 Permissible stress 0₁. (N/mm²) || 64An elastomeric bearing pad consisting of twosteel plates bonded to a chloroprene elastomer (anartificial rubber) is subjected to a shear force V during a static loading test (see figure). The pad has dimen-sions a 5 125 mm and b 5 240 mm, and the elastomer has a thickness t 5 50 mm. When the force V equals 12 kN, the top plate is found to have displaced later-ally 8.0 mm with respect to the bottom plate. What is the shear modulus of elasticity G of thechloroprene?If a prismatic beam (as shown below) has plastic moment capacity of Mp, then the collapse load P of the beam is P/2 P/3 -L/2- L/2 L/4
- Select the best free body diagram for the structure and loading shownWhich of the following is not a beam failure mode. O flange local buckling O block shear O Lateral Torsional Buckling O yielding4) 4 points Calculate the minimum net area for the plate shown below connected to 14 mm thick gusset plate with 22 mm bolts. Plate 12 mm thick 35mm 20mm 20mm 150 mm 20mm 20mm 35mm „Gusset 14 mm thick 35mm 30mm 30mm 40mm a. 936 mm? b. 918 mm? c. 900 mm? d. 887 mm?