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

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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

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 to
do the following:
b) Ay =
c) B₂
A
|
C
ΤΙΣ
Part 1.
Calculate the displacements at the joints:
a) Az =
d) By =
e) C₂
mm
mm
mm
mm
mm
Part 2.
Calculate the force in each member:
a) NAB =
b) NAC =
c) NBD =
d) NBC =
e) Ncp =
f) NAD =
5 m
N
N
N
N
N
N
B
D
5 m

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Step 1: Given data:

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Step 2: Development of Stiffness matrix

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Step 3: Calculation of stiffness matrix of each member

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Step 4: Using force displacement equation

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Step 5: Calculation of member forces

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Step 6: Calculation of stiffness matrix of each member

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