For the truss shown in the following figure, the temperature of memberBC is raised by 140 °C, and member BD is raised by 160 °C.EA=300000 N for all members and a=1/75000 1/°C. Use thestiffness method to do the following:Ab) AyIICPart 1.Calculate the displacements at the joints:a) A₂ =c) B₂=d) By =e) C₁ =3112mmmmmmmmmm-5m-Part 2.Calculate the force in each member:a) NAB=Nb) NAC =Nc) NBD =Nd) NBC =Ne) NCD =Nf) NAD =NBD5m

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For the truss shown in the following figure, the temperature of member BC is raised by 140 °C, and member BD is raised by 160 °C. EA= 300000 N for all members and a= 1/75000 1/°C. Use the stiffness method to do the following:

For the truss shown in the following figure, the temperature of member BC is raised by 140 °C, and member BD is raised by 160 °C. EA= 300000 N for all members and a= 1/75000 1/°C. Use the stiffness method to do the following:

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

For the truss shown in the following figure, the temperature of member
BC is raised by 140 °C, and member BD is raised by 160 °C.
EA=300000 N for all members and a=1/75000 1/°C. Use the
stiffness method to do the following:
A
b) Ay
II
C
Part 1.
Calculate the displacements at the joints:
a) A₂ =
c) B₂
=
d) By =
e) C₁ =
3112
mm
mm
mm
mm
mm
-5m-
Part 2.
Calculate the force in each member:
a) NAB=
N
b) NAC =
N
c) NBD =
N
d) NBC =
N
e) NCD =
N
f) NAD =
N
B
D
5m

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