Problem 7: The bar AB is supported by two smooth collars. At A the connection is with a ball- and-socket joint and at B it is a rigid attachment. If a 50 – lb load is applied to the bar, determine the x, y, z components of reaction at A and B.
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A: Ax+Bx = 0By+50 = 0By=-50 lbAz+Bz = 0MBz= 0MBz+50(6) = 0MBz = -300 lb.ftBCD = -9i +3jBCD = -0.94868 i…
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- Dr. A H.W.5: A rigid bar ABCD is supported by two bars, as shown in Fig- ure 3 .There is no strain in the vertical bars before load Pis applied. After load P is applied, the normal strain in rod (1) is -570 pm/m. Determine (b) the normal strain in rod (2) if there is a l-mm gap in the connection at pin C before the load is applied. (c) the normal strain in rod (2) if there is a l-mm gap in the connection at pin B before the load is applied. (a) the normal strain in rod (2). (2) 1,500 mm 360 mm 140 mm 240 mm Rigid bar bber C B 900 mm (1)A steel pipe (1) is attached to an aluminum pipe (2) at flange B. The pipes are attached to rigid supports at A and C, respectively 18 m 14 m Member (a) has a cross-sectional area A,-3,600 mm2, an elastic modul as a cross-sectional area A 3,600 mm2, an elastic modulus E-200 GPa, and an allowable has a cross-sectional area A2 2,o00 mm2, an elastie modulus E-70 GPa, and an allowable normal stress of 120 MPa. Determine the maximum load Pthat can be applied to fange B without exceeding either allowable stress-5 @ 3m-15m- C F H J K ML boo I A 4@4m=16m B D G E 60 kips A For the truss shown, what is the force in member FG? B what is the force in member BE? + --D
- Given is a truss structure: Where: Working shear stress for the rivets is 70 MPa Working bearing stress due to rivets is 140 Mpa Thickness of the member is 5 mm Thickness of the Gusset plate is 6 mm Rivet diameter is 15 mm Determine the no. of rivets to fasten the member BD 80 kN 120 kN B. 3 m E 200 kN 4 Panels @ 4 m = 16 mMECH 1 ASSIGNMENT - 2M 20 k G y 10k E Problem A truss is subjected to the following forces as shown. Determine: (a.) The magnitude of the resultant of the external forces, R (kips). *Kip (k)-a unit of force, equivalent to 1000 lbs. (Av. AH. Bv) 1 [10] 15 25 25 10 ft ft ft ft ft In short, solve for the reactions at the supports using the equilibrium equations EFv, ΣFH, ΣΜ (AH, Av, Bv) C 20 k 20 k F 10 k 15 ft 15 ft 10 ft 25 ft B' X(c) The rigid bar ABC is suspended from three wires of the same material. The cross- sectional area of the wire at B is equal to half of the cross-sectional area of the wires at A and C. Determine the tension in each wire caused by the load P shown. ----|--²--| A 9 DAB T L P Fig. Q1(c) PL Hint: S = note that ABC is a rigid bar. EA C
- Determine the force in members DF, DG, and EG of the roof truss, and state if the members are in tension or compression. The support at A is a pin and the support at L is a roller. You must include a FBD. 1 kN 1 kN 1 kN 1 kN 1 kNI D h = 8 m В OL E G K 2 kN 4 kN 5 kN 6 panels @5 m = 30 m-Link AC is made of a steel with a 450-MPa ultimate normal stress and has a 6 x 12-mm uniform rectangular cross section. It is connected to a support at A and to member BCD at C by 8-mm diameter pins, while member BCD is connected to its support at B by a 10-mm diameter pin. All the pins are made of steel with a 170-MPa ultimate shear stress and are in single shear. Kwing that a factoaety f32is desired. 12 mm 200 mm It is required to determine the largest load P that may be applied at D. Note that link AC is not reinforced around the pin holes. 150 mm 10Each bar of the truss has a rectangular cross section, 30 mm by 60 mm. Determine the maximum vertical load P that can be applied at B if the working stresses are 100 MPa in tension and 80 MPa in compression. (A reduced stress in compression is specified to reduce the danger of buckling.) B 8m Gm 10m
- Where is/are the location(s) of the maximum transverese shear stress? A simple I-beam is loaded as shown. 20 mm P KN PKN PKN Į Į -C B с D L/4 m L/4 m Midspan at point C Roller at E at the NA Section B at the top fiber Pin A at point C Midspan at point D Roller E at point D L/4 m L/4 m OE 20 mm 20 mm- 250 mm 150 mm 150 mm AThe rigid bar AB is pinned at A and supported by two aluminum rods CG and DH, each having a diameter of 25mm and elastic modulus of EAI = 70 GPa. Determine a) The force in each rod when the 20 kN load is applied. b) The axial deformation (elongation) of rod CG c) The axial deformation (elongation) of rod DH H. 1-0 0-5 A 0-6' 1.2M L 0-8 20KNThe truss below is pin connected at A and E, and is acted on by the forces shown. E A D B Identify all of the ZERO-FORCE MEMBERS by checking the boxes below (if there are none, leave all boxes unchecked): BF AF BC BH CD EG -GH AB CH DG DH DE -FH