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- A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.A floor system in a small building consists of wood planks supported by 2-in. (nominal width) joists spaced at distance s and measured from center to center (see figure). The span length L of each joist is 12 ft, the spacing s of the joists is 16 in., and the allowable bending stress in the wood is 1250 psi. The uniform floor load is 120 lb/ft", which includes an allowance for the weight of the floor system itself. Calculate the required section modulus S for the joists, and then select a suitable joist size (surfaced lumber) from Appendix G, assuming that each joist may be represented as a simple beam carrying a uniform load. What is the maximum floor load that can be applied to your final beam selection in part (a)?
- A beam 19 ft in length has concentrated live loads of 6 kips and 9 kips at 5 ft and 13 ft, respectively, from the left-hand support. In addition, there is a uniformly distributed dead load of 1.2 kips/ft beginning 5 ft from the left support and continuing to the right support. Design the beam for flexure.A simply supported beam, 50mm wide by 100mm high and 300 mm long is subjected to a concentrated load of 3000 N at a point 100 mm from one of the supports. Draw the shear force and bending moment diagrams for the beam.Derive the formula for the bending stress of a beam with a rectangular cross section and triangular cross secrion. Thank you
- Solve the problem below. Provide a clean solution. Label each points from A to E then draw the load, shear and moment diagram for each given beam. Indicate each important end points.Draw the (a) axial (b) shear and (c) bending moment diagram of the girders. Use Factor Method for structure (3). All columns have the same area. The beams and columns have the same modulus of elasticity. Assume moment inertia of beams is twice the moment of inertia of columns.The inverted T-beam supports three concentrated loads as shown in the fig?ure. Find the maximum allowable value of P if the bending stresses are not to exceed 3.5 ksi in tension and 8 ksi in compression. Show: A. Complete process B. free body diagram C. Shear diagram D. Bending moment diagram
- Figure 2 below shows a 12 m length of beam with a pinned support at A and rollersupport at C. The beam carries a uniformly distributed load (UDL) of 4 kN/m and aconcentrated load of 12 kN at B.a. Show the Free Body Diagram (FBD) of the beam then determine the reactionforce.b. Calculate the shear force, V. Draw Shear Force Diagram (SFD).c. Calculate the bending moment, M. Draw the Bending Moment Diagram (BMD).The simply supported beam of circular cross section carries a uniformly distributed load of intensity wo over two-thirds of its length. What is the maximum allowable value of wo in kN/m if the working stress in bending is 50 MPa? Wo 50 mm 1.0 m 2 mSince the allowable normal stress of AC beam loaded with uniformly distributed load is 100MPa in tensile, 120MPa in compression and 50MPa in shear stress, check whether the beam is safe.