Please answer part C A = 150mm^2 E = 200GPa
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Please answer part C
A = 150mm^2
E = 200GPa
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- The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight of the bar. The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C. Ebr = 100 GPa, abr = 20 x 10-6/°C Fallow 70 MPa L = 3m A 3 m B/C с 3 mm a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this scenario. Call the reactions at FA and FC. Ton =1) und prit brolim volgen Aistis Intelesa si s b. State the compatibility condition and solve for the reactions at A and C.Q3- Check the stability and determinacy of the structures below. ATwo cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and Es = 100 GPa, determine (a) the reactions at A and E, (b) the stress at segment BC, (c) the deflection of point D. Dimensions in mm 100 100 -180- +120– Dl E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam.
- The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 94 GPa] with a cross-sectional area of A1 = 510 mm?. Bar (2) is an aluminum alloy [E = 74 GPa] with a cross-sectional area of A2 = 380 mm?. A concentrated load of P = 89 kN acts on the structure at D. Assume L1=770 mm., L2=620 mm., a=690 mm., b=350 mm., and c=1220 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar.Rigid bar ABC is supported by two identical solid bronze [E - 96 GPa, a = 18.2 x 10-6/°C] rods, and a solid steel [E - 210 GPa, a = 9.9 × 10-6/°C] rod. The bronze rods (1) each have a diameter of 16 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 27 mm. The bars are unstressed when the structure is assembled at 22°C. Assume L = 0.3 m. When the temperature decreases to -15°C, determine: (a) the normal stresses in the bronze and steel rods o1,02 (positive if tensile, negative if compressive). (b) the normal strains in the bronze and steel rods e1, €2 (positive if stretched, negative if shortened). (1) (1) L Answers: i MPa, 02 = i MPa. i HE, E2 = i με. = I3Question 3 Determine the reactive forces at support A and B. 6m A -8m 12m 40KN B
- Determine the resultant force at A. I’m not sure where I am making a mistake The Answer should be ( -620i + 610j - 540k)4-61. The distributed loading is supported by the three suspender bars. AB and EF are made of aluminum and CD is made of steel. If each bar has a cross-sectional area of 450 mm², determine the maximum intensity w of the distributed loading so that an allowable stress of ( allow)st = 180 MPa in the steel and (o allow ) al = 94 MPa in the aluminum is not exceeded. Est 70 GPa. Assume ACE is rigid. 200 GPa, E al = al |-- B 1.5 m + st [0) D U 1.5 m Prob. 4-61 al 10 F E W = 2 mThe pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 110 GPa] with a cross-sectional area of A1 = 520 mm?. Bar (2) is an aluminum alloy [E = 67 GPa] with a cross-sectional area of A2 = 280 mm?. A concentrated load of P = 88 kN acts on the structure at D. Assume L1=800 mm., L2=390 mm., a=510 mm., b=300 mm., and c= 1130 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vo of point D on the rigid bar.
- The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 102 GPa] with a cross-sectional area of A₁ = 530 mm². Bar (2) is an aluminum alloy [E = 68 GPa] with a cross-sectional area of A2 = 370 mm². A concentrated load of P = 50 kN acts on the structure at D. Assume L₁-930 mm., L₂=500 mm., a=600 mm., b=260 mm., and c=1150 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. b (a) 0₁ i = MPa, 0₂ = i MPa (b) VD = i mm. e L₁ L2 Ⓡ B CTwo cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that Es = 200 GPa and E,= 100 GPa, determine (a) the reactions at A and E, (b) the stress at segment BC, (c) the deflection of point D. Dimensions in mm 100 100 -180- -120- A Cl Dl E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam.Quizs- Replace the loading system by an equial ent resultant force and Couple moment acting at Point o. fi=l00 N Mc:75 Nm 0:3m 200 0-5 m 0.4m