A prismatic bar is fixed at edges A and B as shown in figure. What is the axial force in CD portion? RA A L 100 N ● C L 60 N D L B -RB
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- The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7x 10-6/°C], with a cross-sectional area of A1 = 370 mm2. Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross- sectional area of A2 = 380 mm?. The bars are unstressed when the structure is assembled. Assume a=360O mm, b=620 mm, c=730 mm, P=20 kN, and L=890 mm. After a concentrated load of P = 20 kN is applied and the temperature is increased by 35°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. A (1) B (2)A two pinned end bars AB (copper) and BC (aluminum) is subjected to a horizontal force P = 90KN applied at pin B %3D as shown in the figure, determine the horizontal displacement of pin B. Aluminum: L= 1.5m, A= 1000mm2, E= 70 GPa Copper: L= 2.0m, A= 850mm², E= 120 GPa Degree: 45° Alumaum L-15m A=1000 mm E-70 GPa >P=90 kN Copper L=2.0m Aa550 mm E=120 GPaThe pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of A₁ = 400 mm². Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A₂ = 400 mm². The bars are unstressed when the structure is assembled. After a concentrated load of P = 36 KN is applied and the temperature is increased by 25°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. 350 mm 600 mm 900 mm (1) (2) A B 36 kN 720 mm D
- This is a determinate structure, which must be statically stable and used in the analysis of MCD? O Primary Structure O Virtual System O Real System O Analytical modelThe beam is made from three polystyrene strips that are glued together as shown. If the glue has a shear strength of 80 kPa, determine the maximum load P that can be applied without causing the glue to lose its bond. 30 mm 40 mm 60 mm 40 mm 30 mm -20 mm A P +im+im+i 1m- 1m 1 m-0.8 m-Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.58 in. and an elastic modulus of 2430 ksi. Bar (2) has a cross-sectional area of 0.714 in and an elastic modulus of 4110 ksi. Assume Ly-18 in., Lz-47in, Q=6,4 kips, P-3.2 kips, and R-128 kips. Determine the horizontal deflection of end Crelative to end A. (1) Answer: uCA in.
- Steel 1 m Aluminum T 0.75 m Determine the maximum permissible value of T subject to the following conditions: tt S 80 MPa, Tal 50 MPa, and the angle of rotation of the free end is limited to 0.1 radian. For T. Hollow Solid d= 30 mm D= 40 mm %3D steel, G = 82 GPa and for aluminum, G= 28 GPa. %3D d = 30 mm %3DThe solid shown in fig 1 has two parallel bases. Plane BFHC forms a dihedral angle 50 degrees with the lower base and all face angles at D and G are all 90 degrees. 1. What is the edge length of the midsection on face ABCD?Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 28-in.-long bronze [E = 14500 ksi, α=α= 9.6 × 10−6/°F] bar with a cross-sectional area of 1.00 in.2. Bar (2) is a 40-in.-long aluminum alloy [E = 9900 ksi, α=α= 11.7 × 10−6/°F] bar with a cross-sectional area of 2.25 in.2. Both bars are unstressed before the load P is applied. Assume L1=28 in., L2=40 in., a=40 in., b=42 in., and c=10 in. If a concentrated load of P = 29 kips is applied to the rigid bar at D and the temperature is decreased by 80°F, determine:(a) the normal stresses in bars (1) and (2).(b) the normal strains in bars (1) and (2).(c) the deflection of the rigid bar at point D.
- In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum BrassThe pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 65GPa] with a cross-sectional area of A_{1} = 850m * m ^ 2 Bar (2) is a bronze alloy [E = 100GPa] with a cross-sectional area of A_{2} = 540m * m ^ 2 Assume L_{1} = 1.9m L_{2} = 2.2m , a = 0.5m b = 1.6n , and c = 1.3 m. All bars are unstressed before the load P is applied; however, there is a 1.6-mm clearance in the pin connection at A. If a load of P = 55 KN is applied at B, determine: (a) the normal stresses Oj, 62, in both bars (1) and (2). (b) the normal strains E1, E2, in bars (1) and (2). (c) determine the downward deflection VA of point A on the rigid barA steel angle iron, loaded in compression is added to a structure in order to increase its rigidity. Although the two ends are attached by rivets, the end fixity is sufficiently questionable that pinned ends are to be assumed. The length is 1.2 m, and the yield strength is 350 MPa. The radius of gyration about centroidal axis parallel to either side is 8 mm, but the minimum radius of gyration (about a centroidal axis at 45 degrees to the sides) is only 5 mm. What compressive load (express as a function of the cross-sectional area, A) can be carried with a safety factor of 3?