Tom fotograflan gonintale + Suraya ekle: X Duenle ve Olustur a Paylag Learning Goal: To solve for torces in statically indeterminate bars with axial loads - Part A- Force with a known deflection When the number of roaction forces is greater than the number of equilibrum equations, the system is statically indaterminate Sclving for the reactions requires some additional equations. These addifional equations come from considering compatibility relationships (1.0, continuity of displacements and relationships between displacements and loads). The square bar shown (Figure 1) is 50 mm thick and 57 m long and is fxed supported at both ends A load directed ieftward is applied at point C, es shown, Lg- 3.5 m from the left end The modulus of elasticly is E = 100 GPa if point C moves & = 0 15 mn to the left, what is the applied force? Express your answer with appropriate units to three significant figures. > View Available Hint(s) For an axially loaded member, the compatibility relationship tor the deflections can be writlen by setting the total rolative axial displacement between the ends of the member to a known value. The load- HA NL displacement relationship &= gives another AE F-549.6 kN equation for the deflections Once the internal normal force of each segment is written in terms of the end reactions and spplied loads, there is enough information to solve for the reactions. Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Figure 1of 2> Part B- Reaction with a known load Consider a now structure, where the thickness of the bar is roduced to 25 mm from C to B (t is still square) (Figure 2) and 2-3.5 m if the applied load is F= 425 kN, then what is the reaction at A? Lot a positive reaction act to the nght The total length is stil 5.7 m Express your answer with appropriate units to three significant figures. > View Available Hint(s)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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totogratlar - 2.2JPG
A Tom fotograflan gonintule
+ Şuraya ekle:
% Düzenle ve Oluştur
2 Paylaş
Learning Goal:
To solve for forces in statically indeterminate bars with
axial loads
* Part A - Force with a knowri deflection
When the number of reaction forces is greater than
the number of equilibrium equations, the system is
statically indaterminate! Sclving for the reactions
requires some additional equations. These addifional
equations come from considering.compatibility
relationships (i.0., continuity of displacements and
relationships between displacements and loads).
The square bar shown (Figure 1).is 50 mm thick and 57 m kong and is fixed supported at both ends. A load directed letward is
applied at point C, as shown, La = 3.5 m from the left end The modulus of elasticily is E = 100 GPa If point C moves 6 = 0 15
mn to the left, what is the applied force?
Express your answer with appropriate units to three significant figures.
> View Available Hint(s)
For an axially loaded member, the compatibility
relationship for the deflections can be writtan by
setting the total relative axial displacement between
the ends of the member to a known value. The load-
displacement relationship 8 = gives another
.?
NL
AE
F-549.6
kN
equation for the defleclions Once the internal normal
force of each segment is written in termis of the end
reactions and spplied loads, there is enough
information to solve for the reactions.
Submit
Previous Answers
X Incorrect; Try Again; 5 attempts remaining
Figure
1 of 2>
Part B - Reaction with a known load
Consider a new structure; where the thickness of the bar is reduced to 25 mm from C to B (it is still square) (Figure 2) and
- 3.5 m If the applied load is F= 425 kN, then what is the reaction at A? Let a positive reaction act to the nght. The total
length is stil 5.7 m
B
Express your answer with appropriate units to three significant figures.
> View Available Hint(s)
0432
Ei O W
EPIC
2512.2020
Transcribed Image Text:totogratlar - 2.2JPG A Tom fotograflan gonintule + Şuraya ekle: % Düzenle ve Oluştur 2 Paylaş Learning Goal: To solve for forces in statically indeterminate bars with axial loads * Part A - Force with a knowri deflection When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indaterminate! Sclving for the reactions requires some additional equations. These addifional equations come from considering.compatibility relationships (i.0., continuity of displacements and relationships between displacements and loads). The square bar shown (Figure 1).is 50 mm thick and 57 m kong and is fixed supported at both ends. A load directed letward is applied at point C, as shown, La = 3.5 m from the left end The modulus of elasticily is E = 100 GPa If point C moves 6 = 0 15 mn to the left, what is the applied force? Express your answer with appropriate units to three significant figures. > View Available Hint(s) For an axially loaded member, the compatibility relationship for the deflections can be writtan by setting the total relative axial displacement between the ends of the member to a known value. The load- displacement relationship 8 = gives another .? NL AE F-549.6 kN equation for the defleclions Once the internal normal force of each segment is written in termis of the end reactions and spplied loads, there is enough information to solve for the reactions. Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Figure 1 of 2> Part B - Reaction with a known load Consider a new structure; where the thickness of the bar is reduced to 25 mm from C to B (it is still square) (Figure 2) and - 3.5 m If the applied load is F= 425 kN, then what is the reaction at A? Let a positive reaction act to the nght. The total length is stil 5.7 m B Express your answer with appropriate units to three significant figures. > View Available Hint(s) 0432 Ei O W EPIC 2512.2020
Fotografiar - 2.21.JPG
Tum fotograflan gorüntüle
+ Şuraya ekle:
& Dazenle ve Oluştur v
2 Paylaş
Learning Goal:
To solve for forces in statically indeterminate bars with
Part B- Reaction with a known load
axial loads.
Consicer a new structure, where the thickhess of the bar is reduced to 25 mm from C to B (it is still square) (Figure 2) and
I = 3.5 m. If the applied load is F= 425 kN then what is the reaction at A? Let a positive reaction act to the right. The total
length is still 5.7 m
When the number of reaction forces is greater than
the number of equilibrium equations, the system is
staticelly indeterminate. Solving for the reactions
requires some additional equations. These additional
equalions come from considering compatibility
relationships (ie continuity of displacerments and
relationships between displacements and loads).
Express your answer with appropriate units to three significant figures.
> View Available Hint(s)
For an axially loaded member, the compatibility
relationship for the deflections.can be written by
setting the total relative axial displacoment between
the ends of the member to a known value. The load-
?
NL
Value
Units
displacement relalionship 6
Σ
gives another
equation for the defiections. Once the internal normal
force of each segment is wrntten in terms of the end
reactions and applied loads, there is enough
information to solve for the reactions.
Submit
Part C- Load point for equal forces
Consider the structure from Part B (Figure 2). What value of z will lead to equal reaction forces at A and B?
Figure
< 2 of 2
Express your answer in feet to three significant figures.
• View Available Hint(s)
It vec
F +
m
0432
2C
25. 12.20/0
Transcribed Image Text:Fotografiar - 2.21.JPG Tum fotograflan gorüntüle + Şuraya ekle: & Dazenle ve Oluştur v 2 Paylaş Learning Goal: To solve for forces in statically indeterminate bars with Part B- Reaction with a known load axial loads. Consicer a new structure, where the thickhess of the bar is reduced to 25 mm from C to B (it is still square) (Figure 2) and I = 3.5 m. If the applied load is F= 425 kN then what is the reaction at A? Let a positive reaction act to the right. The total length is still 5.7 m When the number of reaction forces is greater than the number of equilibrium equations, the system is staticelly indeterminate. Solving for the reactions requires some additional equations. These additional equalions come from considering compatibility relationships (ie continuity of displacerments and relationships between displacements and loads). Express your answer with appropriate units to three significant figures. > View Available Hint(s) For an axially loaded member, the compatibility relationship for the deflections.can be written by setting the total relative axial displacoment between the ends of the member to a known value. The load- ? NL Value Units displacement relalionship 6 Σ gives another equation for the defiections. Once the internal normal force of each segment is wrntten in terms of the end reactions and applied loads, there is enough information to solve for the reactions. Submit Part C- Load point for equal forces Consider the structure from Part B (Figure 2). What value of z will lead to equal reaction forces at A and B? Figure < 2 of 2 Express your answer in feet to three significant figures. • View Available Hint(s) It vec F + m 0432 2C 25. 12.20/0
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