Based on the photo provided: Consider the structure shown consisting of a frame member KD [E = 200 GPa, G = 75 GPa] and struts DQ and DC [E = 100 GPa, G = 40 GPa]. The frame member has a rectangular cross-section with width 10 mm and thickness 3 mm while the struts have a circular cross section. For the loading shown, the struts are experiencing an internal compression of 5.8 kN each. Determine:   1) All reaction forces at each support. (Rk_x, Rk_y, Mk) 2)The magnitudes of the internal forces at the midspan of member KD (at section M). (V_m, N_m,M_m) 3.1)  The required diameter of struts DQ and DC if their ultimate normal strength is 240 MPa. Determine the diameter considering a factor of safety of 1.25. Express your answer as a whole number. 3.2) Using the answer in 3.1), determine the actual normal stress experienced by struts DQ and DC. 4) Using the answer in 3.1), determine the change in cross-sectional area of the struts DQ and DC. 5.1) The required diameter of the bolts at Q and C if their allowable shear strength is 165 MPa. The allowable strength was determined using a factor of safety of 1.25. Express your answer as a whole number. 5.2) Using your answer in 5.1), determine the actual shear stress experienced by the bolts at Q and C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Based on the photo provided:

Consider the structure shown consisting of a frame member KD [E = 200 GPa, G = 75 GPa] and struts DQ and DC [E = 100 GPa, G = 40 GPa]. The frame member has a rectangular cross-section with width 10 mm and thickness 3 mm while the struts have a circular cross section. For the loading shown, the struts are experiencing an internal compression of 5.8 kN each. Determine:

 

1) All reaction forces at each support. (Rk_x, Rk_y, Mk)

2)The magnitudes of the internal forces at the midspan of member KD (at section M). (V_m, N_m,M_m)


3.1)  The required diameter of struts DQ and DC if their ultimate normal strength is 240 MPa. Determine the diameter considering a factor of safety of 1.25. Express your answer as a whole number.


3.2) Using the answer in 3.1), determine the actual normal stress experienced by struts DQ and DC.


4) Using the answer in 3.1), determine the change in cross-sectional area of the struts DQ and DC.


5.1) The required diameter of the bolts at Q and C if their allowable shear strength is 165 MPa. The allowable strength was determined using a factor of safety of 1.25. Express your answer as a whole number.


5.2) Using your answer in 5.1), determine the actual shear stress experienced by the bolts
at Q and C.

2.0m
2.0m
10 kN/m
D
K
M
3.0m
Pins Q&C Detail
1.0m
1.0m
Transcribed Image Text:2.0m 2.0m 10 kN/m D K M 3.0m Pins Q&C Detail 1.0m 1.0m
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