I need detailed help solving this exercise from homework of Applied Mechanics. I do not really understand how to do, please do it step by step, not that long but clear. Thank you! Problem 2A 5-kg uniform serving table is supported on each side by two pairs of identical links, AB and CD, andsprings CE. If the bowl has a mass of 1 kg and is in equilibrium when 0 = 45°, and the springs of stiffnessk each are unstretched when 0 = 90°. Neglect the mass of the links.(a)(b)(c)(d)Express yGb, yGt and xc in terms of 0.Find the virtual displacements SyGb, SyGt and Sxc of the positions due to a virtual rotation 80.Write the virtual work equation.Determine the stiffness of each spring.250 mm 150 mm250 mmEkFig. 2150 mm

We have a serving table supported by two pairs of identical links and springs. The table is in…

Answered: Problem 2 A 5-kg uniform serving table…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.
The 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 A-36 steel rod has a diameter of 50 mm and is firmly attached to the rigid supports at A and B when the initial temperature is 50°C. Determine the force P in kN that must be applied to the collar at its midpoint so that, when the final temperature becomes 30°C, the reaction at B is zero. Where: a=12x10^6 m/(m°C), E = 200 GPa and L = 500 mm A B L
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 116 GPa] with a cross-sectional area of A₁ = 550 mm². Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A₂ = 290 mm². A concentrated load of P = 62 kN acts on the structure at D. Assume L₁=800 mm., L2=560 mm., a-590 mm., b=430 mm., and c=1160 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. a b Answers: (a) σ₁ = (b) VD = i (1) L₁ L2 (2) A B MPa, 0₂ = mm. D MPa
Find net force
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 109 GPa] with a cross-sectional area of A₁ = 530 mm². Bar (2) is an aluminum alloy [E = 64 GPa] with a cross-sectional area of A2 = 330 mm². A concentrated load of P = 67 kN acts on the structure at D. Assume L₁=740 mm., L₂=500 mm., a=660 mm., b=310 mm., and c=1030 mm. Determine: (a) the normal stresses 0₁, 02 in both bars (1) and (2). (b) the downward deflection VD 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 = 110 GPa] with a cross-sectional area of A₁ = 630 mm². Bar (2) is an aluminum alloy [E = 79 GPa] with a cross-sectional area of A₂ = 340 mm². A concentrated load of P = 52 kN acts on the structure at D. Assume L₁=910 mm., L₂=430 mm., a=450 mm., b=280 mm., and c=1030 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. a 5 Answers: (a) 6₁ (b) VD= = tel i (1) L₁ L2 B C MPa, 0₂ = mm. i MPa
.
Note:hand written solution is not allowed.
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. = I3
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