wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the truss shown in the figure no load acts. The members AB gets 4 mm too short. The cross-section area of each member is 300 mm2 and E = 200 GPa. Determinate the vertical displacement of 30 m at joint C.


A
1.2 mm upward
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1.5 mm upward
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1.2 mm downward
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1.5 mm downward
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 1.5 mm upward
Sinθ=45

Cosθ=35

The vertical displacement at joint 'C'

δvo=K Δ

=KAB(ΔAB)

=38(4)=1.5 mm

The negative sign indicate that joint 'C' is displaced upward i.e opposite to the unit load.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
So You Think You Know Work?
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon