To solve for forces in statically indeterminate bars r th axial loads Part A- Force with a known deflection When the number of reaction forces is greater than the number ot equibrium equations, the system is statically indeterminate Solving for the reactions requires some additional equations. These acditonal equations come from considering compatibility relationships (ie continuity of displacements and relalionships beten displacments and kss) The square bar shown (Figure 1) is 65 mm thick and 54 m long end is fixed supported at soth ends. A loac directed lewerd is applied al point C, s shuwn, L2= 4 m kori le lell ernd The modulus of ehasiiy is E= 100 GPa poinl C muves 5= 9x10 mm lo ihe lell, whs s he appled lace? Express your answer with appropriate units to three significant figures. View Available Hint(s) For an axially loaded member, the cnmpatihility relationship for the deflections can be written by setting the total relative anal displacement between the ends of the member to a known value The load- HA • O B ? NL givos another AE dispiacomont rolatonship 8 =E equation for the defiections. Once the internal normal forco ot cach sogmont is writton in torms of the ond reactions and applied loads, there is erough information to solve for the reactions F= 98.4 kN Previoua Answes Submit X Incorrect; Try Again: 3 attempts remaining Figure 1 of 2 > Part B- Reacton with a known oad Consider a new structure, where the thickness of the bar is recaced te 33 mm from C to Btis stil square) (Figure 2) and z-4m if the applied load is F= 350 EN, then what is the reaction at A? Lat a pesitive reaction ect to the rgat The total length is stil 54 m C B Express your answer with appropriate units to three significant figures. > View Available Hint(s) Part B- Reaction with a knovn load Learning Goal: lo solve tor torces in statically indetermınate tars wth Consicer a new structure, where the hickness of the bar s reduced to 33 mm trom C Bas sl square) (Figure 2) and 2= 4m if the app iod load sF= 350 kN ncn what s the rcaction at A? Let a positive rcacion act to tre rght The total length is stil 54 m axial loads When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations These additional equations come from considering compatibility relationships (e continuity of displacements and relationships between displacements and loacs). Express your answer with appropriate units to three significant figures. •View Available Hints) For an axially loaded member, the compatibility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the member to a known value. The load- F= Value Units dispiacement reistionship 8 =E NL gives another Submit cquation for the defioctions. Once the intemal normal force of each segment is written in tems of the end reactions and applied loads, there is enough information to solve for the reactions Part C- Load point for equal forces Consicer the structure from Part E (Figure 2) What value of z will lead to equal reacion forces at A and B? Express your answer in feet to three significant figures. Figure 2 of2 > View Available Hintsi B O AE I vec+ Submit

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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To solve for forces in statically indeterminate bars with
axial loads.
Part A - Force with a known deflectlon
When the number of reaction forces is greater than
the number of equilibrium equations, the system is
statically indeterminate Solving for the reactions
requires some additional equations. These addit onal
equations come from considering competibility
relationships (ie., continuity of displacements and
Telalionships belween displacements aid keads)
The square bar shown (Figure 1) is 65 mm thick and 54 m long and is fixed supported et both ends. A load directed lefward is
applieui al puinl C, as shuwn, Lz = 4 m from lie keifl end. TIe moxdulus of elastikiy is E = 100 GPa If puinl C muves 5=
9x10- mm lo ite lell, wiai, is ite aspplied fare?
Express your anewer with appropriate units to three significant figures.
View Available Hint(s)
For an axially Inaded member the conmpatihility
relationship for the deflections can be written by
setting the total relative axial displacement between
the ends of the member to a known value. The load-
dispiacomont rolationship 8 =E
NL
givos anothor
AE
F= 98.4
kN
equation for the deflections. Once the internal normal
torco ot cach sogmont is writton in torms of the ond
reactions and applied loads, there is enough
infomation to solve for the reactions.
Submit
Previous Answers
* Incorrect; Try Again; 3 attempts remaining
Figure
< 1 of 2
Part B - Reacton with a known load
Consider a new structure, where the thickness of the bar is recaced te 33 mm from C to B (t is stil square) (Figure 2) and
a- 4 m. If the applied load is F= 350 kN, then what is the reaction at A? Lat a pcsitive reaction act to the rgnt The total
length is still 5.4 m.
Express your answer with appropriate units to three significant figures.
> View Available Hint(s)
Learning Goal:
Part B- Reaction with a known load
lo solve tor torces in statically indeterminate tars with
axial loads
Consicer a new structure, where the thickness of the bar is reduced to 33 mm from C to B(tis stil square) (Figure 2) and
* = 4m If the app iod load s F = 350 kN then what is the roaction at A? Lct a positive rcaction act to tho rght. The total
length is stil 54 m
When the number of reaction forces is greater than
the number of equilibrium equations, the system is
statically indeterminate. Solving for the reactions
requires some additional equations. These additional
equations come from considering compatibility
relationships (1e. continuity of displacements 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 displacement between
the ends of the member to a known value. The load-
FA= Value
Units
displacement relationship 8 =EE
NL
gives another
Subrit
cquation for the dofloctions. Onco tho intomal normal
force of each segment is written in tems of the end
reactions and applied loads, there is enough
information to solve for the reactions
Part C- Load point for equal forces
Consider the structure from Part E (Figure 2) What value of z will lead to equal reaction forces at A and B?
Express your answer in feet to three significant figures.
Figure
2 of 2
> View Available Hint(s)
B
V Azo vec
m
Suhmit
Transcribed Image Text:To solve for forces in statically indeterminate bars with axial loads. Part A - Force with a known deflectlon When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate Solving for the reactions requires some additional equations. These addit onal equations come from considering competibility relationships (ie., continuity of displacements and Telalionships belween displacements aid keads) The square bar shown (Figure 1) is 65 mm thick and 54 m long and is fixed supported et both ends. A load directed lefward is applieui al puinl C, as shuwn, Lz = 4 m from lie keifl end. TIe moxdulus of elastikiy is E = 100 GPa If puinl C muves 5= 9x10- mm lo ite lell, wiai, is ite aspplied fare? Express your anewer with appropriate units to three significant figures. View Available Hint(s) For an axially Inaded member the conmpatihility relationship for the deflections can be written by setting the total relative axial displacement between the ends of the member to a known value. The load- dispiacomont rolationship 8 =E NL givos anothor AE F= 98.4 kN equation for the deflections. Once the internal normal torco ot cach sogmont is writton in torms of the ond reactions and applied loads, there is enough infomation to solve for the reactions. Submit Previous Answers * Incorrect; Try Again; 3 attempts remaining Figure < 1 of 2 Part B - Reacton with a known load Consider a new structure, where the thickness of the bar is recaced te 33 mm from C to B (t is stil square) (Figure 2) and a- 4 m. If the applied load is F= 350 kN, then what is the reaction at A? Lat a pcsitive reaction act to the rgnt The total length is still 5.4 m. Express your answer with appropriate units to three significant figures. > View Available Hint(s) Learning Goal: Part B- Reaction with a known load lo solve tor torces in statically indeterminate tars with axial loads Consicer a new structure, where the thickness of the bar is reduced to 33 mm from C to B(tis stil square) (Figure 2) and * = 4m If the app iod load s F = 350 kN then what is the roaction at A? Lct a positive rcaction act to tho rght. The total length is stil 54 m When the number of reaction forces is greater than the number of equilibrium equations, the system is statically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (1e. continuity of displacements 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 displacement between the ends of the member to a known value. The load- FA= Value Units displacement relationship 8 =EE NL gives another Subrit cquation for the dofloctions. Onco tho intomal normal force of each segment is written in tems of the end reactions and applied loads, there is enough information to solve for the reactions Part C- Load point for equal forces Consider the structure from Part E (Figure 2) What value of z will lead to equal reaction forces at A and B? Express your answer in feet to three significant figures. Figure 2 of 2 > View Available Hint(s) B V Azo vec m Suhmit
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