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)
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)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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