For the truss shown in the following figure, the temperature of member BC is raised by 110 °C, and member BD is raised by 70 °C. EA=300000 N for all members and a=1/75000 1/°C. Use the stiffness method todo the following:b) Ay =c) B₂A|CΤΙΣPart 1.Calculate the displacements at the joints:a) Az =d) By =e) C₂mmmmmmmmmmPart 2.Calculate the force in each member:a) NAB =b) NAC =c) NBD =d) NBC =e) Ncp =f) NAD =5 mNNNNNNBD5 m

Temperature of member BC = 1100CTemperature of member BD = 700CEA = 300000 NUse stiffness method

the truss shown in the following figure, the temperature of member BC is raised by 110 °C, and member BD is raised by 70 °C. EA=300000 N for all members and a=1/75000 1/°C. Use the stiffnes the following: A Ay B₂ By 900 art 1. alculate the displacements at the joints: Az = mm mm mm 5 m mm B D 5 m →

the truss shown in the following figure, the temperature of member BC is raised by 110 °C, and member BD is raised by 70 °C. EA=300000 N for all members and a=1/75000 1/°C. Use the stiffnes the following: A Ay B₂ By 900 art 1. alculate the displacements at the joints: Az = mm mm mm 5 m mm B D 5 m →

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

At a temperature of 53°F, a 0.1 in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [a= 12.7 x 10-6/°F] and bar (2) is stainless steel [a= 10.4 x 10-6/°F]. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. Assume L₁ = 40 in., L₂ = 57 in. (1) B A L₁ Answer: Final temperature = i bo L2 °F.
At a temperature of 34°F, a 0.06 in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [a = 12.5 x 10-6/°F] and bar (2) is stainless steel [a = 7.3 x 10-6/°F]. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 33m B (2) Answer: Final temperature = 55 in. -0.06. gap °F.
Consider the construction shown in the figure below. The supports at A and C are flexible and have a stiffness k. The material has a modulus of elasticity of E. (Figure 1) Part A Determine the support reaction at A Express your answer in terms of r and some or all of the variables k, a, d. P, and E. nν ΑΣφ ? vec FA = Figure < 1 of 1 Submit Request Answer Part B Determine the support reaction at C. Express your answer in terms of r and some or all of the variables k, a, d, P, and E. |B If vec 2a a Fc =
Using the force (flexibility/compatibility) method, analyse the structure in the figure below: A B ΕΙ C
From the given figure Solve the following: Let P = 30 Find: Vertical reaction at CHorizontal reaction at CAxial force at member AB
At the nodes in the truss system given in the figure occurring displacement and the stress and reaction that occurs Find the forces. E=200GpaA=10000mm2
b) A cylindrical rod AB is made of aluminum is connected at B to a brass qylindrical rod BCD as shown in Figure 8. The shear modulus, G of aluminum rod AB is given by 27 GPa and the brass rod BCD of 39 GPa. The torsional reactions, TA and Ts are located at the ends of A and B, respectively. Given the portion CD of the brass rod is hollow and has an inner diameter of 40 mm, examine the angle of twist at A. 60 mm Tg = 1600 N - m 36 mm TA = 800 N m 250 mm 375 mm A 400 mm Figure 8
The beam shown below is suspended from two steelrods as shown and is initially horizontal. The midpointB of the beam is deflected 15 mm downward byforce Q. The steel used for the rods has properties E= 200 GPa and  = 275 MPa, determinea. the required maximum value of Q.b. the deformation of rod AD.c. the deformation of rod CE.
Three bars AB, AC, and AD are pinned together as shown in the figure. Initially, the assembly is stress free. Horizontal movement of the joint at A is prevented by a short horizontal strut AE. Calculate the stress in aluminum bar AC and steel bar AD. Also, find the force in the strut AE when the assembly is used to support the load W = 12.50 kips. For each steel bar, A = 0.4 in2 and E = 29 × 106 psi. For the aluminum bar, A = 0.8 in2 and E = 10 × 106 psi.
Three bars AB, AC, and AD are pinned together as shown in the figure. Initially, the assembly is stress free. Horizontal movement of the joint at A is prevented by a short horizontal strut AE. Calculate the stress in aluminum bar AC and steel bar AD. Also, find the force in the strut AE when the assembly is used to support the load W = 12.50 kips. For each steel bar, A = 0.4 in² and E = 29 × 106 psi. For the aluminum bar, A = 0.8 in² and E = 10 × 106 psi. B с D 20% Steel E Aluminum 35 W A Steel L
The triangular solid plate ABC is restrained by rod (1) at A and pin support at B. After applying the force P, the solid plate tilts around pin B and after closing the gap = 1.9 mm, pushes element (2). What is the strain in rod (1) if the internal strain in element (2) is E2 = -1020 pe? [L₁=620 mm, L₂= 680 mm, a = 300 mm, b = 320 mm, gap= 1.9 mm] L AD (2
Q.4.b. A compound bar is made up by connecting a steel member and a copper member rigidly fixed at their ends as shown in figure below. The cross sectional area of the copper member is A while that of the steel member is 2A for half the length and A for the other half of the length. The coefficient of expansion for steel and copper are as-11.7*10ºC and a=17*10-/C respectively while the modulus of elasticity are E,=210Mpa and E=105MPA respectively. Estimate the stress induced in the members due to rise of 500 in temperature. 2A Steel Copper