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If drawn, a figure for this problem would resemble that for Prob. 4–90. A strut that is a standard hollow right circular cylinder has an outside diameter of 3 in and a wall thickness of
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Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the ladder itself. Each ladder rail (t5= 4 mm) is supported by a shoe (ts= 5 mm) that is attached to the ladder rail by a bolt of diameter d = 8 mmarrow_forwardSolve the preceding problem for W = 1.0 lb. h = 12 in.,and k =0.511,/in.arrow_forward-19 The mechanical assembly shown in the figure consists of an aluminum tube, a rigid end plate, and two steel cables. The slack is removed from the cables by rotating the turnbuckles until the assembly is snug but with no initial stresses. Afterward, the turnbuckles are tightened by 1.5 turns. Calculate the forces in the tube and the cables and determine the shortening of the tube. As= 0.85 in2 for each cable, AA= 4.5 in2, L = 20 in., Es= 29,000 ksi, EA= 10,600 ksi, and p = 1/16 inarrow_forward
- A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springarrow_forwardSolve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.arrow_forwardThe piston in an engine is attached to a connecting rod AB, which in turn is connected to a crank arm BC (see figure). The piston slides without friction in a cylinder and is subjected to a force P (assumed to be constant) while moving to the right in the Figure. The connecting rod. with diameter d and length L, is attached at both ends by pins. The crank arm rotates about the axle at C with the pin at B moving in a circle of radius R. The axle at C, which is supported by bearings, exerts a resisting moment M against the crank arm. (a) Obtain a formula for the maximum permissible force Pallow. based upon an allowable compressive stress acin the connecting rod. (b) Calculate the Force Pallowfor the following data:arrow_forward
- -11 A rubber cube R of a side L = 3 in. and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E 0.3ksi and,, = 0.45. (a) Calculate the lateral pressure between the rubber and steel (disregard friction between the rubber and the steel, and assume that the steel block is rigid when compared to the rubber). (b) Calculate the change in volume of the rubber.arrow_forwardPipe 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 Parrow_forwardA horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length 0,5 m. The bracket has a solid, circular cross section with a diameter equal to 65 mm. The bracket is inserted in a friction less sleeve at A (which is slightly larger in diameter), so it is free to rotate about the r0 axis at A and is supported by a pin at C Moments are applied at point C M{=1.5 kN -m in the x direction and A/3 = L0 kN-m acts in the — z direction. Considering only the moments Mxand M2, calculate the maximum tensile stress t, the maximum compressive stress crc* and the maximum in-plane shear stress Tmax at point />, which is located at support A on the side of the bracket at mid-heightarrow_forward
- A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal arm AB (length b = 10 in.) and a vertical arm BC (length c = 7 in.) pivoted al point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer al C is controlled by a spring, Jt = 5 lb/in., that is attached to a threaded rod. The pitch of the threads is p = 1/16 in. Under application of load W, 12 revolutions of the nut are required to bring the pointer back to the mark. Calculate the weight W.arrow_forwardA solid circular steel cylinder S is encased in a hollow circular aluminum tube A. The cylinder and tube are compressed between the rigid plates of a testing machine which applies forces P. Calculate the allowable value of the compressive force if the yield stresses of sleel and aluminum are srs = 50 Ksi and ??A= 60 ksi, respectively. Assume that As= 12 in2. AA= 6 in2. L = 20 in., Es= 29,000 tsi and EA=10,600 ksiarrow_forwardSolve the preceding problem for a W 250 × 44.8 wide-flange shape with L = 3.5 m. q = 45 kN/m, h = 267 mm, b = 148 mm, rt = 13 mm, = 7.62 mm, d = 0.5 m, and a = 50 mm.arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning