Q3: The bar below is made of carbon steel (1035-hot rolled) and is loaded by the forces F = 0.55 kN, P = 8.0 kN, and T = 30 N · m. Compute the factors of safety, based upon the distortion-energy theory. -100 num 20-mm D. T
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- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.The 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:
- Q3: The bar below is made of carbon steel (1035-hot rolled) and is loaded by the forces F = 0.55 kN, P = 8.0 kN, and T = 30 N. m. Compute the factors of safety, based upon the distortion-energy theory. B A 100 mm- 20-mm D. F T P x3 in 2. For the C-clamp shown in Fig.1 , a perpendicular force is applied (into the page) at the end of the handle 3.5" from the centerline of the clamp screw. The handle has a diameter D= 1/2" and is made of AISI 1035 CD steel with a yield strength S, = 67 kpsi. The clamp screw is a 5/8 in–18 UNF, with ACME threads. Knowing that the maximum stress in the handle will occur at the location where the handle protrudes from the screw housing, what value of applied screw torque will cause the handle to bend permanently when the clamp is fully closed? What clamp force corresponds to this? Assume that collar friction is negligible and that the coefficient of friction between the threads and the nut is 0.15. Fig. 1STATICS OF RIGID BODIES NEED ASAP RATE WILL BE GIVEN! NO LONG EXPLANATION NEEDED! SHOW THE COMPLETE SOLUTIONS. ANSWER IN 4 DECIMAL PLACES. NOTE: THE TOLERANCE IS 1 IN THE THIRD SIGNIFICANT DIGIT.
- 2. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 0.55 kN, P = 4.0 kN, and T = 25 N•m. Compute factors of safety, based upon the distortion energy theory, for stress elements at A and B of the member shown below. Transverse shear stress ignored here. 100 mm 15-mm D.Let's considera rod having a solid circular cross-section with diameter of 4 mm and it is made of a material having a Young's modulus E= 200 Gpa and a Poisson's ratio of 0.3. If a tensile force Fis subjected to that rod cross-section, the diameter becomes 3.995 mm. determine the applied force F Select one: OF 5236 N O F=15708 N Clear mopshoe Finish attemptProblem 2 330k 198k 132k N -16 in.- 12 in. 12 in. E = 29×10086sa D = 1.07 in (bigger rod) D=107ind 0.618 in. rod) Determine the deformation of the steel rod shown under the given loads. SOLUTION: • Divide the rod into components at the load application points. Apply a free-body analysis on each component to determine the internal force • Evaluate the total of the component deflections. 2-3
- The shaft shown the figure below, is supported by a bearing on the left end. The shaft also supports a pulley on the right end, which rotates. The tensions in the belt of the pulley are F. =2,739 y and F,=1,362 N. Also, a completely reversed axial load of F 11 N is applied to the right end. The shaft is made of UNS G10450 CD steel, with 2. a ground surface and 99 z reliability and operates at room temperature. Assume, K =1.35 for torque and formula 6- 34 to calculate K fs' K, - 1 K = 1 + (6-34) 1+ va/ Vr Bending or axial: Va = 0.246 – 3.08(10)S+ 1.51(10-)S, – 2.67(10-*)S 50 s Su s 250 kpsi Va = 1.24 - 2.25(10-)S+1.60(10)$ – 4.11(10-1)S, 340 S S 1700 MPa (6-35) Torsion: Va = 0.190 – 2.51(10-)S+ 1.35(10-), – 2.67(10-)S 50 < Su < 220 kpsi Va = 0.958 – 1.83(10-)S+ 1.43(10-")S-4.11(10-1)s 340 < S S 1500 MPa (6-36) All fillet radius r-0.1d All dimensions are in mm 300D -30 100 :600 1. Identify the critical point(s) on the shaft and show it clearly on the diagram. 2. Draw the cartesian…In the figure above, the shaft has a diameter of 50mm, and the diameter of pulleys C and D are given tobe 600 mm and 400 mm, respectively. ?1 = 1000 N, ?2 = 500 N and ?3 = 1500 N. But in addition tothe force on the pulleys, a compressive axial force of 100 kN is acting on both ends of the shaft. Theshaft is made from a brittle material with an ultimate tensile strength ??? that is half of its ultimatecompressive strength ???. The desired factor of safety is ? = 2 for the shaft.e. Determine the principal stresses corresponding to maximum bending and torsional shear stresses.Ignore transverse shear stresses due to bending.f. Use Maximum Normal Stress Theory and find the minimum required ??? and ???.g. Use Brittle Coulomb-Mohr Theory and find the minimum required ??? and ???.h. Use Modified Mohr Theory and find the minimum required ??? and ???.i. Use graphical method to check your answers in parts (a), (b) and (c).NO CURSIVE