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A round tubular column has outside and inside diameters of D and d, respectively, and a diametral ratio of K = d/D. Show that buckling will occur when the outside diameter is
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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. 2 m 1.5 m C 3 m 2 m 2 m Select one: O P= 235 N O P= 471 N O P= 314 N P= 294 Narrow_forwardThe length of the rectangular arm, which is fixed at both ends, is L= 9 m, and the cross section is a=32 mm and b= 58 mm. Accordingly, find the possible buckling loads of the column and specify the maximum load that it can support. E=210 GPa (Fig. 3).arrow_forward6. Three wires are used to support the 150-lb force. The wires AB and AC are made of steel, and wire AD is made of copper. Assume that the three wires have constant cross-sectional area A = 0.0123 in?. For steel wire, a = 8 x 10 in/ (in°F ) and E = 29000 ksi and for copper wire, a = 9.6 x 10 in/ (in°F ) and E = 17000 ksi. Calculate the axial force exerted by the three wires if the temperature is raised by 80°F. Answer: Pu= 10 Ib, Pu= 136 Ib 40 in. 60 in. 45°. -45° 60 in. V150 Ibarrow_forward
- 2-16. The tapered steel bar shown in the figure is cut out from a steel plate 25 mm thick and is welded at the top to a rigid structure. Find the deflection of the end A caused by the force of 40 kN applied at B. Consider the origin of the coordinate axes at the point of intersection of the sloping lines. E = 210 GN/m². Ans: 0.093 mm. 150 mm 1.5 m 40 kN B 1.5 m 50 mm PROB. 2 – 16arrow_forwardE = 150 GPa and I = 39.9(10-6) m¹. (Figure 1) Figure 40 kN-m -6 m- 1 of 1 10 kN-m Barrow_forwardn Consider the following frame subjected to force P = 8 kN. If member BC is pinned connected along X axis and fixed connected along Y axis and 8 = 45°, determine the factor of safety against buckling along X axis and Y axis. Take E = 200 GPa. L X 1 m 0 2 3 cm B 2 cm 1 m 2 cm 3 cm Xarrow_forward
- 5. Two C310x45 channels are latticed together so they have equal moments of inertia about the principal axes. Determine the minimum length of column having this section, assuming pinned ends, E = 200 GPa, and a proportional limit of 240 MPa. What safe load will the column carry for the length of 12 m with a factor of safety of 2.5? For C310x45, take I = 67.3x10-6 m4 %3D Ans L = 9.89 m, F = 738 kNarrow_forward(a) A steel column is 4m long with pin jointed ends but restrained from movement normal to the column's length. The column has the rectangular cross section shown in Q1(a). Calculate the force for Euler buckling about the axis shown. Esteel = 205GPa. Р n=1 Pe=n² 1² EI (² - n²EI L² =L Le = Pc- (nº) (205 × 10°) (729x10²6) = 4m 2 4² Pc = 921851-8936N = 921-85 KN Answer: Euler Buckling Force = Answer: 1 = least second moment of area for cross section. Therefore, in this case 1xxarrow_forwardA straight and piecewise uniform bar ABCD of total length L is in Case 1 fixed at A in case 1 and in Case 2 fixed at both ends A and D. AB = BC = CD = L/3. The cross section area of segment CD is half of the area of the segment ABC, i.e. AABC = 2ACB. A point load of P is applied at B. Assume that bar material is linear and elastic and the modulus of elasticity is E.arrow_forwardA rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.3 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 4 mm. Consider a linear elastic behavior. 2 m 1.5 m A B 3 m 2 m 2 m Select one: P = 157 N P = 314 N P = 235 N P = 294 N P = 471 N Karrow_forward5. If the elongation of wire BC is 0.2 mm after the force P is applied, determine the magnitude of P. The wire is A-36 steel and has a diameter of 3 mm. (Esteel = 200 GPa) 300 mm -200 mm- B 400 mm - [Ans: P = 628 N]arrow_forward( 48ll O O 2 9:YV The rod BD is made of material with G1= 135 GPa has a diameter 16 mm is bonded to the tube CA at point B, the tube made of material with G2=230 GPa has an outer diameter 37 mm and wall thickness of 7 mm. If T1=803 N.m and T2=1445 N.m, answer the following questions: A B T2 N-m 0.4 m 0.1 m 0.3 m T1 N-m The polar moment of inertia of the rod BD is Your answer The polar moment of inertia of the tube CA isarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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