3. Determine the FBD, size and properties of all cable styles and vertical styles of BC structures! E Kabel A B Teta 1 = 60 ^o Teta 2 = 30 ^0 W = 200 N
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- Part A Determine the greatest force F that can be applied to the ring if each cable in (Figure 1) can support a maximum force of 880lb. Express your answer to three significant figures and include the appropriate units. • View Available Hint(s) HA Fmax = Value Units Submit Previous Answers X Incorrect; Try Again; 7 attempts remaining Provide Feedback Figure <) 1 of 1 AF 1 ft D ft 3ft - 3 ftTwo weights, A and C, are fixed to a bar, B. Their masses are: A = 60 kg, B = 230 kg,C = 45 kg. B is, in turn, connected to a fixed vertical post by a hinge and a support cableD. The geometry of the system is shown at right. Treat weights A and C as point masses a)What is the tension in support cable D? Be sure to include a detailed freebody diagram to accompany your analysis.b) What is the magnitude of the force provided by the hinge?c) What is the moment of inertia of the A + B + C as a rigid system, for rotationabout the hinge? For analysis, break the beam into a short piece to the left of thehinge, and a separate longer piece to the right of the hinge. If the support cable D on should break,d) what is the angular acceleration of the beam and weights at the moment the cable breaks?e) what is the magnitude of the linear acceleration experienced by each of the weights, A and C, at moment the cable breaks?2 For the spring assemblage shown in Figure 2, determine the displacement at node 2 and the forces in each spring element. Also determine the force F3. Given: Node 3 displaces an amount 8 = 1 in. in the positive x direction because of the force F3 and k₁ = k₂= 500 lb/in. füüvår اشته Figure - 2 3 F3 X
- Determine the tension developed in the cable AC required to support the traffic light Express your answer to three significant figures and include the appropriate units. HA ? FAC = Value Units Submit Request Answer Part C Figure 1 of 1 Determine the tension developed in the cable AD required to support the traffic light Express your answer to three significant figures and include the appropriate units. 6 m ? HA 3 m FAD = Value Units 4 m 4 m Submit Request Answer 3 m 4 m 6 m 4 m 3 m y Provide FeedbackA steel [E = 25500 ksi] pipe column (1) with a cross-sectional area of A1 = 5.60 in.2 is connected at flange 8 to an aluminum alloy [E = 17500 ksi] pipe (2) with a cross-sectional area of A2 = 4.40 in.2. The assembly is connected to rigid supports at A and C. For the loading shown, determine the normal force in the steel pipe (1). A (1) 120 in. B 30 kips 30 kips 144 in. CA hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft. (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively. By…
- in tension or compression. [A,=1.2kN, A,=0.88KN, C,=1.8kN, C,=3.13KN, FBc= 2.37(T), FCD= 5.21(C), d) Draw FBD of pin at A. Determine unknown member force. 3 kN 1.5 m 10 = 30° %3D A QAK 2 m -2 m 4 kN Fig. Q5 [A=1.2kN, A,=0.88KN, C,=1.8kN, C-3.13KN, FBc= 2.37(T), Fen= 5.21(C), FAB=2.37(T), FBD= 4.0(T), FAD= 1.47(C)] ВС %3D CD %3D %3D %3D АВQ1: 30-mm-diameter steel bar is to be used as a torsion spring. If the torsional stress in the bar is not to exceed 110 MPa when one end is twisted through an angle of 30°, what must be the length of the bar in m? modulus of rigidity=80 GPa . (close to two decimal)The material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm object falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie:1. The minimum wire diameter is most nearlyA. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in2. The mean coil diameter is most nearlyA. 8.6 in B. 10 in C. 13 in D. 16 in3. The number of active coils is most nearlyA. 8 B. 11 C. 12 D. 14
- E = 70 Gigapascals (member QR) A = 1000 mm^2 (QR) 500 mm E = 200 Gigapascals (member TV) T A = 1500 mm^2 (TV) V M 60⁰ 75 100 100 mm 200 mm W E = 150 Gigapascals (member UW) A = 2500 mm^2 (UW) As may be seen in the diagram, the DEFORMABLE bars QR, TV, and UW are pinned to the RIGID bar RUST, which is pinned at S. Find the maximum moment M (in KN-mm) that may be applied at S without causing the rigid bar RUST to rotate more than 0.0005 degrees about S.Suppose that P = 250 lb in (Figure 1). Figure 600 lb PVE -3 ft D B 30° -3 ft 1 of 1 Part A Determine the force in member AB, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. FAB = Submit Part B FAE = |μA Part C Value Request Answer Determine the force in member AE, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. FBC = μA Submit Request Answer Value Units μA Value Units Determine the force in member BC, and state if the member is in tension or compression. Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. ?…(13) A spring has an overall length of 44.0in & sustains a load of 15,000lb @ its center. The spring has three full-length leaves & 15 graduated leaves with a central band 4.0in wide. All leaves are to be stressed to 60,000psi when fully loaded. The ratio of total spring depth to width is to be approximately 2.0. Determine: (a) the width & thick ness of the leaves; (b) the initial space that must be provided between the full length & the graduated leaves before the band is applied; (c) What load is exerted on the band after the spring is assembled?