PROBLEMS TO BE SOLVED: +4. A 50mm by 100mm timber is used as a column with fixed ends. Determine the ‘minimum length at which Euler's formula can be used if E = 10 GPa and the al limit is 30 MPa. What central load can be carried with a factor of safety of 2iflength is 2.5m? wo C310 * 48 channels are latticed together so they have equal moments of 7 inertia about the principal axes. Determine the minimum length of @ colurnn thaving this secon, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for a length of 12m with a factor of safety of 2.57 Page aaot 49ec arunen cerns aroog son obser a VITOR HURL ASE ee ope nt ay npn ce ‘elect te lft shape ta tt act cok 8 ong wih ged nd and support an axial load of 270 kN with a factor of safety of 2.5. Assume that the properdonal iti 200MPa and 200 Gres 4/Determine the slendemess ratio of a §-m column with builtin ends if its cross section is (a) circular with a radius of 40mm and (b) 50mm square. Use the concept of effective length, 5, /etermine the maximum length of a W250 * 167 section used as a hinged-end “colum to support a load of 1600 KN. Use AISC specifications withF, = 380 MPa and £ = 200 GPa 6. A WS10 = 52 section is used as @ column with hinged ends. Using AISC specifications, determine the maximum load that can be applied if (a) L= 10m; (b) L=14m. Use F)=250 MPa and E=200 GPa 7. A steel column with an effective length of 10 m is fabricated from two C250 x 45, channels laticed together so that the section has equal moments of inertia about the principal axes. Determine the safe load using AISC specifications. Use F,= 380 MPa and E = 200 GPa. 8. Select the lightest W shape that can be used as a column to support an axial load of 420 kN on an effective length of 4m. Use AISC specifications with F,= 250 MPa and E = 200 GPa, 9. Select the lightest W shape, according to AISC specifications, that can be used 28 a column to support an axial load of 700 KN on an effective length of 5.5 m. ‘Assume F, = 250 MPa and E = 200 GPa, AS Repeat Prob. 9 assuming thatthe axial oad is 690 KN and F)= 345 MPa ¢ 11, Compute the safe axial loads for an oak column 150 mm by 200 mm ifthe length is (@) 2m and (b) 4m. Use E= 11.5GPa. 12,4, W360 * 122 section is used as a column with an effective length of 10 m. ‘Determine the maximum load that can be carried at an eccentricity of 300 mm. ‘Should the load be placed on the X or Y axis? Assume F = 290 MPa and E = 200 GPa. 13.4 W360 « 134 section is used as a column whose effective length is 6 m. The // column carries an axial load of 260 KN and an eccentric load of 220 KN appliedgrec emma gmeucrO RES LaRDUNgAS RE ONT RS PTY pe ORDA SHIRL AE ern opement yf tnd agueng ‘ic Con the minor axis. Determine e, the maximum eccentricity of the load, using Fy= 250 MPa and E = 200 GPa. 14,4°€310 * 45 channel is used as a hinged-end column 2.2 m long. How far off ‘center can a load of 50 KN be placed on the X axis? Assume Fy = 380 MPa and that the tensile stress is to be limited to 140 MPa. On which side of the Y axis must the load be placed? Use E= 200 GPa. a plates are joined by four rivets 25 mm in diameter, as shown in Fig. P-15. Find the allowable load P if the working stresses are 80 MPa for shear, 90 MPa for tension, and 120 MPa for bearing. ‘ns: P= 111 kN ane | Pax! & & |e ep | ete fal Fi. Pots 16. Repeat Prob.15 assuming that the allowable stresses are 80 MPa for shear, 120 MPa for tension, and 200 MPa for bearing. thee Paar +2 laiajonved Se Fig, PHI6 2 _ (Fao sate oad on ap conection shown in Fig. P17 the ets are of 18 mm diameter and the plates are & mm thick. Use allowable stresses of 95 MPa for shear, 140 MPa for tension, and 220 MPa for bearing. Ans. P= 242kN