PROBLEM 10.13 Determine the radius of the round strut so that the round and square struts have the same cross-sectional area and compute the critical load for each. Use E = 200 GPa. 1 m 25 mm
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- Determine the radius of the round strut so that the round and square struts have the same cross-sectional area, and compute the critical load for each. Use E=200 GPa.Figures 1 and 2 show two columns of round and square shape, respectively. Determine the radius of the round column so that the round and square column have the same cross-sectional area and compute the critical load of each strut. Use E=200 GPaCompute the internal diameter of the 10 m length hollow cast iron column. If the externaldiameter is two times the internal diameter and the safe compressive load on a hollowcast iron column with one end rigidly fixed and other end hinged is 60 kN. Use Euler’sformula with a factor of safety of 3 and E = 90 kN/mm2
- A single angle section L152x152x19 of G40.21 300W is used as compression web member in a truss. Themember length is 4m and can be assumed as a pinned-pinned connection. Compute the compressive resistanceof the section. Assume interconnectors to be closely spaced. [Hints: check CL. 13.3.2]Determine the critical axial buckling load for an 8 3/4 x 12 inches glue-laminated column braced at 10ft from the bottom in the y axis for a total height of 25ft. Assume pin connections at top and bottom. Fc= 1750 psi, E= 1.8x106 psi. (Western cross-section glu-lam data is in the text).A flat steel bar, 28 mm wide by 3 mm thick and 1.7 m long, is bent by couples applied at the ends so that the midpoint deflection is 24 mm. Compute the maximum stress in the bar. Use E = 210 GPa. Answer must be in MPa.
- Question 3. Determine the crippling load for a I-section of dimensions 20 cm × 10 cm × 2 cm and of length 5 m when it is used as a strut with both of its ends fixed. Take E = 2 × 105 N/mm2.An aluminum tube of length 0.01R (m) is used as column (fixed at both ends) carrying an axial load of 1.333R (N). If the outer diameter of the tube is 0.06R (mm),compute the inner diameter that would provide a factor of safety of 2 against buckling. Use E = 70 GPa for aluminum. Note R=993.16 Three identical, solid circular rods, each of radius r and length L, are placed together to form a compression member (see the cross section shown in the figure). Assuming pinned-end conditions, determine the critical load Pcr The rods act independently as individual columns. The rods are bonded by epoxy throughout their lengths so that they function as a single member. What is the effect on the critical load when the rods act as a single member?
- Determine (a) the critical load for the square strut, (b) the radius of the round strut for which both struts have the same critical load. (c) Express the cross-sectional area of the square strut as a percentage of the cross-sectional area of the round strut. Use E=200GPa.The steel framework is used to support the 4-in. reinforced stone concrete slab that carries a uniform live loading of 400 lb/ft2. Sketch the loading that acts along members BE and FED. Set a = 6 ft, b = 18 ft. Hint: See Table 1.2.Conserving all the loads & average stiffness of the truss members to be replaced by a uniformly distributed load by 0.009%, determine the vertical displacement at C. Use VIRTUAL WORK METHOD or CASTIGLIANO'S PRINCIPLE. The top chord & web members are to be removed a replaced by an equivalent load as mentioned.