PerivE THE CRITICAL BUCKLNG LOAD. FOR A DOUBLY CLAMPED COLUMN, WITHOUT Usima Bu CKLING THE EFFECrive LENGTH METHOD. GIVEN E,A, I, L,F HINT: BEGIN By EM =0 AT A M F
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- Solve for Problem 2, when RN1 = 0145It is required to design a helical torsion spring and Cold-drawn steel wire of Groele 4. The yitld strength the ultimate tensile strength, and the factor of Safety is 2. from space Considerations, the spring Per a window-shade. The is made of patented of the material is 60l. mean Coil. diameter is kept as 18 mm. The maximum be- Inding moment asting on the spring is e5oN-mm. The modulng of elas ticity of the kNlmm?). The stiffness of the rad). Determine the wire diameter and the um Coils. Also, detesmine the deflectino and stored struin.energy. spring spring moterial is (207 should be(3 N-mm/ berof activeE T-50" 60 C Force ? Suppose rod AB is hinged to a fixed wall. Rope CDE is attached to the rod at C, 4 from the hinge. The rope passes over a pulley D. which is mounted on another fixed wall. The angle ACD is 60 degree. The other end of the rope is connected to a mechanism (not shown), which requires 50 lb. force to be actuated. How much downward hand force will be required at point B. 5' from the hinge, to actuate the mechanism? When the hand force is applied, what reaction force will be developed in hinge A? Assume the rod is weightless, rigid and amply strong and the rope is flexible and amply strong.
- Member AB (helical spring) and Member AC (axial rod) are carrying a weight at point A. Member AB has the following properties: R = 90 mm, n -4 turns, G- 70 GPa, d- 30 mm, and Talow = 105 MPa while Member AC has the following properties: L= 2.A- 500 mm?, E = 200 GPa, and a low- 30 MPa. Determine the maximum safe %3D value of W (in N). Use simplified formula for the helical spring. A 60°For the frame shown in Fig. 6-24a, draw the free-body diagrams of (a) the entire frame including the pulleys and cords, (b) the frame without the pulleys and cords, and (c) each of the pulleys. 3E Fx=0 +9 E fy=o 1. FIMD RXAS AT A$D Fing FoRLE componeAB 2. Ge Pits oF POLLEYS EM=0 Cx C By E Ay T. Ay AauLE OF RESOUTAT AT B, C &A 75 lb SKETCH RESULTALT (a) Fueo Manat AT BASE ア(y 7516 OF CULUneCE radius of the pulley at B linch Yadius of the Pulley at c a7s inch 75 lbs 7516 () Distance BE 7inch Distance EA 4.5 inch Distance AV : 3.sinch Ay 6) 7516 マへRepeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
- Solve Problem 11.3-3 for a W 10 × 45 steel column having a length L = 28 ft.Pipe 2 has been inserted snugly into Pipe I. but the holes Tor a connecting pin do not line up; there is a gap s. The user decides to apply either force P:lo Pipe I or force P-, to Pipe 2, whichever is smaller. Determine the following using the numerical properties in the box. (a) If only P{is applied, find Pt{tips} required to close gap s; if a pin is then inserted and Ptremoved, what are reaction forces RAand RBfor this load case? (b) If only P2is applied, find P2{kips) required to close gap a; if a pin is inserted and P2removed, what are reaction forces R^ and RBfor this load case? (c) What is the maximum shear stress in the pipes, for the loads in parts (a) and (b)? (d) If a temperature increase IT is to be applied to the entire structure to close gaps{instead of applying forces Ptand P2), find the AT required to close the gap. If a pin is inserted after the gaphas closed, what are reaction forces .''.', and RBfor this case? (e) Finally, if the structure (with pin inserted) then cools to the original ambient temperature, what are reaction forces Rtand PA simple structure is to be built to hold load at C as shown in Figure Q5. Body ABC is pin joint at wall A is regarded as a rigid body and is pin supported to rod BD at B. The respective dimensions are as shown in the figure. A support unit is to be connected by pin between point B and point D or point D' at the wall. a) Compare and analyze the two positions for the support unit not to fail by buckling when maximum load F is applied at C. Which position is the better choice between D and D' ? b) If load F is in opposite direction, what is the maximum load F that can be applied. (Properties of rod BD, E= 200GPA, G=77 GPa, v=0.3, o, = 250 MPa ) A 1.6m В 1.4m C 0.9m F 10mm 4mm D 0.8m 9. 15mm mm D' Crossection of Hollow Rod BD or BD'. ( 10mm x 15mm and 4mm x 9mm) Figure 05