C7-3. Here is an example of the single shear failure of a bolt. Using appropriate free-body diagrams, explain why the bolt failed along the section between the plates, and not along some intermediate section such as a-a.
Q: 8-29. A shear spring is made from two blocks of rubber, each having a height h, width b, and…
A: Given that: The height of the rubber block is =h The width of the rubber block is =b The thickness…
Q: 5-3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown.…
A: We have to determine the shear stress at points A and B and sketch the shear stress on volume…
Q: If P = 14 kN determine the average shear stress developed in the pins at A, B, and C. All pins are…
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Q: 2m 9. The rod AB rests on a heriaantal surface at A and against slipping suface atB if My z0-25 at A…
A: If a force F is inclined at an angle θ with the horizontal, then the component of force along the…
Q: 8-26. The lap joint is connected together using a 30 mm diameter bolt. If the bolt is made from a…
A: Calculate the load on the bolt. Here, Pbolt is the load on the bolt. Calculate the shear stress in…
Q: 10-45. The rotating flywheel-and-shaft, when brought to a sudden stop at D, begins to ascillate…
A: Given data: Arc length, s = 6mm Radius of the wheel, R = 75mm Shaft inner dia, d = 24 mm Shaft outer…
Q: P7-5. The lever is held to the fixed shaft using the pin AB. If the couple is applied to the lever,…
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Q: 7-51. The two steel members are joined together using a 30° scarf weld. Determine the average normal…
A: Draw the free-body diagram of the upper section of the member.
Q: 5-39. The solid steel shaft DF has a diameter of 25 mm 5 kW, 12 kW 25 mm and is supported by smooth…
A: given:- N=50 rev/s d=25 mm p=12 kw
Q: 7-39. Determine the maximum average shear stress in pin A of the truss. A horizontal force of P- 40…
A: Given Data: The load acting on the truss is P = 40 kN. The length of the member CA is l1 = 1.5 m.…
Q: 9-5. The 2014-T6 aluminum rod has a dismeter of 30 mm and supports the koad shown. Determine the…
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Q: *7-44. The plastic block is subjected to an axial compressive force of 600 N. Assuming that the caps…
A: Given: The axial compressive force acting on the horizontal plane is F1=-600 N The inclination of…
Q: P7-2. determine the largest internal shear force resisted by the bolt. Include all necessary…
A: Consider the free body diagram of the middle panel as shown below. The 6 kN force is balanced by…
Q: -80-80- 120 The crank "a-b-c-e-f-g" is loaded with [soON 12 d500N three forces (500, 250, and 200 N)…
A: Given data as per question Crank diameter = 12 mm Calculations Shifting all load at point gdue to…
Q: 7-23. The metal stud punch is subjected to a force of 120 N on the handle. Determine the magnitude…
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Q: In each case, determine the largest internal shear force resisted by the bolt. Include all necessary…
A: (a) Free body diagram for diagram (a), On using force equilibrium, Therefore, the largest internal…
Q: 7-62. Determine the required diameter of the pins at A and B if the allowable shear stress for the…
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Q: R7-2. The long bolt passes through the 30-mm-thick plate. If the force in the bolt shank is 8 kN,…
A: Given data as per question Thickness of plate = 30 mm Force applied = 8 KN
Q: P7-6. The single-V butt joint transmits the force of 5 kN from one bar to the other. Determine the…
A: Given data The joint type is: Single-V butt joint Force transfer from the bar: 5 kN Adding the…
Q: 5-3 The shaft is hollow from A to B and solid from B to C. Determine the muximum shear stres in the…
A: Given data: Torque in shaft AB, TAB = 2 kN·m. Torque at point B, TB = 4 kN·m. The outer diameter of…
Q: When the 100-lb block is at h = 3 ft above the cylindrical post and spring assembly, it has a speed…
A: Above loading is Type of impact loading. In impact loading , stress generated in the body is higher…
Q: 5-9. The solid aluminum shaft has a diameter of 50 mm and an allowable shear stress of T the largest…
A: Given: The diameter of the shaft, d = 50 mm The allowable shear stress = 60 MPa
Q: 7-19. The shaft is supported at its ends by two bearings A and B and is subjected to the forces…
A: Consider the free body diagram of shaft AB as shown below.
Q: 16-70. The beam has a constant E,h and is suppolted by the fixed wall at Band the fod AC. If the Fod…
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Q: 16-31. The shaft is supported at A by a journal bearing and at C by a thrust bearing. Determine the…
A: Here the shaft supported at A by journal bearing which means only vertical reaction exists here at…
Q: P7-2. force resisted by the bolt. Include all necessary free-body diagrams. determine the largest…
A: Draw the free-body diagrams for both central panels respectively between 'A and B', and 'B and C'.…
Q: *10-4 The link acts as part of the elevator control for a small airplane. If the attached aluminum…
A: Given Data: Applied force is F = 600 N. Distance between the forces is r = 75 mm + 75 mm =150 mm.…
Q: 7-81. The material distorts into the dashed position shown. Determine the average normal strains e,…
A: The normal strain in X direction is given by the following expression: εx=A'F'-AFAF Substitute the…
Q: 5-49. The A-36 steel shaft has a diameter of 50 mm and is subjected to the distributed and…
A: Given data d = 50 mm To find1) maximum shear stress2) plot
Q: 5-3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown.…
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Q: 7-42. If P- 15 kN, determine the average shear stress in the pins at A, B, and C. All pins are in…
A: As per given condition∑Fx=0Ax-FBCcos 30°=0but here FBC not…
Q: 7-1. The shaft is supported by a smooth thrust bearing at B and a journal bearing at C. Determine…
A: Free-body diagram of the beam is given as, On considering beam AE, the force equilibrium in a…
Q: *7-80. Determine the shear strain Yay at corners D and C if the plastic distorts as shown by the…
A: The distorted plate is shown below, Calculate the angles using given geometry,…
Q: Following plate is connected to the wall using 7 bolts. Cross sectional area of each bolt is A.…
A: Given- Force F is passing through the center of gravity of the plate, so it will be equally…
Q: 5-3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown.…
A: Solution: Torque acting on B is, TB=-4kNm Shear stress at B is given by,…
Q: R7-6. The bearing pad consists of a 150 mm by 150 mm block of aluminum that supports a compressive…
A: Given data P=6 kNA=150 ×150 mm2=22500 mm2
Q: *5-32. The pump operates using the motor that has a power of 85 W. If the impeller at B is turning…
A: Power P=85W Speed N=150rev/min diameter D=20mm To find Maximum shear stress τ
Q: determine the minimum bolt diameter that may be used for this connection.
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Q: F7-14. The frame supports the loading shown. The pin at A has a diameter of 50 mm. If it is…
A: Free body diagram of the frame is shown in figure. Taking Moments around B, (clockwise positive) PAx…
Q: R7-9. The rubber block is fixed along edge AB, and edge CD is moved so that the vertical…
A: Given equation v(x) = v0b3x3dvdx=3x2v0b3At (b/2, a/2)dvdx=3(b/2)2v0b3=34v0btanγxy=dvdxγxy=tan-134v0b
Q: *7-56. The steel swivel bushing in the clevator control of an airplane is held in place using a nut…
A: It is given that the average shear stress (τ) is 145 MPa The diameter (d) = 20 mm The thickness (t)…
Q: 20 - 60 30 180 For a gripping force of P-150 N at the handles of a small bolt cutter as shown,…
A: Draw the FBD of the diagram as shown below,
Q: F7-23. If the bolt head and the supporting bracket are made of the same material having a failure…
A: Given: Failure shear stress material of the screw is τfail=120MPa and factor of safety is N=2.5 The…
Q: *R7-4. The circular punch B exerts a force of 2 kN on the top of the plate A. Determine the average…
A: Given data: Force exerted by the punch on the plate, P = 2 kN. The diameter of the punch, d = 4 mm.…
Q: 7-74. The rectangular plate is subjected to the deformation shown by the dashed lines. Determine the…
A: The original breadth of the plate BD=150 mm The original length of the plate BC=200 mm The deformed…
Q: F7-16. If each of the three nails has a diameter of 4 mm and can withstand an average shear stress…
A: The number of nails in the board is, n=3 Diameter of each nail is, d=4 mm Shear strength of the…
Q: 5-7. The solid shaft has a diameter of 0.75 in. If it is subjected to the torques shown, determine…
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Q: 7-9. Determine the largest shear force Vthat the member can sustain if the allowable shear stres is…
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Q: P7-4. Determine the internal normal force at section A if the rod is subjected to the external…
A: givenexternal uniformally distributed load W=8kN/mlength of cantilever beam L=5mbeam shown as below…
Q: Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns…
A: Given data: G=83 GPad=20 mmR=90 mmn=20 turnsP=1.5 kN Need to determine the maximum shearing stress…
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- After recording the applied twisting moment and resulted angle, fill the following table MT (N.m) T. MPa (degree) (rad.) Now, the twisting moment-twisting angle and shear stress-shear strain curves can be plotted, then determine maximum shear stress, shear stress at proportional limit and modulus of rigidity. 4-6 Problem The following torsion test data were obtained for AA6061-T6 aluminum alloy has a round cross section with 30mm outer diameter, 0 inner diameter and 100 length. 0 32 130 Twisted angle (): 0 1 Torque (N.m): 286 347 487 5.5 591 786 910 1105 1163 1235 1222 3.5 6.5 7.5 9. 10.5 13.5 16.5 21.5 25.5 > Plot the torque-twisted angle curve and determine the proportional limit on it. Plot the shear stress-strain curve the determine the shearing strength and modulus of rigidity. Prof. Adnan N. Abood Asst. Lec. Zainah Waheed 2511 A rectangular bar section of aluminium alloy has outside dimensions 100 mm × 50 mm, as shown in Fig. 3-17. The plate thickness is 2 mm for the 50 mm sides and 3 mm for the 100 mm sides. If the maximum shear stress must be limited to 95 MPa, determine the maximum torque that can be applied to the section.950 mm is employed to compress à 6061-T6 aluminum 650 mm as shown. The tie rod has a solid circular cross section with A solid 4340 HR Steel tie rod of length Lrod bushing of length Lbushing diameter drod do - = = 27.5 mm. The bushing has a hollow circular cross section with outer diameter 80 mm, inner diameter di, and wall thickness t. If F = 47.5 kN, determine the minimum wall thickness of the bushing based on the below design requirements: ⚫ the displacement of the bottom of the tie rod with respect to the fixed horizontal surface may not exceed total = 1.1 mm ⚫ the normal stress of the bushing may not exceed the yield strength of the bushing material tmin Lbushing do Lrod = 7.056 drod F Rod cross section drod Bushing cross section mm X 0% do di
- Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.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 springTwo 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.
- , Solve the preceding problem using the numerical data: /) = 90mm, h = 280 mm, d = 210 mm, q = 14 kN/m, and L = L2 m.1-63.M. The key in Figure 1-18 has the dimensions b = 10 min, h = 8 nim, and L = 22 min. Determine the shear stress in the key when 95 N-m of torque is transferred from the 35-mm-diameter shaft to the hub. Hub End view Shear plane Shear pl T=Torque -D=Shaft diameter T=F(D/2) F₁-Force of shaf F₂= Force of hub on 1 Shear area=A,=bxLPI-2. In cach case, determine the largest internal shear force resisted by the bolt. Include all nocessary free-body diagrams SKN 6EN 6RN 2 AN
- In the clevis shown in Fig. 1-11b, the minimum bolt diameter (d=22mm) and the minimum thickness of each yoke(t=10mm) without exceeding a shearing stress of 83MPa and a bearing stress of 138MPa. -Find the support load (P=?) Y. Figure 1-11bQuestion 3: The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the shaft and specify their locations, measured from the fixed end A. Take : AA= 1.6 BB = 0.9 CC = 1200 AN/ m 2 kN-m/m AA m CC Nm B вB m Solution : = CC N-m TAB CC N-m 2o0ox N.m CC N.mAn A-36 steel bolt (AB) is used to snugly clamp a 6061-T6 aluminum sleeve between two rigid platens E and F, as shown below. The bolt has a solid, circular cross section with a diameter d = 61 mm and a thread pitch of 1 mm. The sleeve has a hollow circular cross section with an outer diameter do 250 mm and a wall thickness tw = 15 mm. The nut is then tightened 34 of a turn, which induces stresses in both the bolt and the sleeve. Assume Es = 200 GPa for steel and Ea 68.9 GPa for aluminum. 450 mm F A -250 mm- 500 mm 15 mm (a) Determine the normal stress in the bolt (both magnitude and sign). (b) Determine the normal stress in the sleeve (both magnitude and sign).