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Q-1 Figures (a) and (b) below show two designs for a beam to carry a repeated central load of 5.34 kN. Material considered for both beams is AISI 1045 CD steel with Sut = 630 MPa and Syt = 530 Mpa. All other information are as given on the beams. (a) Determine the design which would have the highest design factor of safety for a given material (b) By doubling the fillet radius r and reducing the 200-mm dimensions, we are asked to redesign the beam in Part (b) of the figure, so that it has a design safety factor equal to or higher than that for the design in Part (a). Determine the amount of reductionrequired (if any) in the 200 mm dimensions, and the resulting factor of safety after redesign. Explain your solution steps and comment on your result. [Hint: Draw bending moment diagram for each beam and compare the critical sections.] y 5.34 kN -250 mm - 250 mm 50 mm dia. A B (a) 500-mm 5.34 kN - 200 mm - 200 mm A r= 5-mm 50 mm dia.- 75 mm dia.- (b)

Q-1 Figures (a) and (b) below show two designs for a beam to carry a repeated central load of 5.34 kN. Material considered for both beams is AISI 1045 CD steel with Sut = 630 MPa and Syt = 530 Mpa. All other information are as given on the beams. (a) Determine the design which would have the highest design factor of safety for a given material (b) By doubling the fillet radius r and reducing the 200-mm dimensions, we are asked to redesign the beam in Part (b) of the figure, so that it has a design safety factor equal to or higher than that for the design in Part (a). Determine the amount of reductionrequired (if any) in the 200 mm dimensions, and the resulting factor of safety after redesign. Explain your solution steps and comment on your result. [Hint: Draw bending moment diagram for each beam and compare the critical sections.] y 5.34 kN -250 mm - 250 mm 50 mm dia. A B (a) 500-mm 5.34 kN - 200 mm - 200 mm A r= 5-mm 50 mm dia.- 75 mm dia.- (b)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Q-1 Figures (a) and (b) below show two designs for a beam to carry a repeated central load of 5.34 kN. Material considered for both beams is AISI 1045 CD steel with Sut = 630 MPa and Syt = 530 Mpa. All other information are as given on the beams. (a) Determine the design which would have the highest design factor of safety for a given material (b) By doubling the fillet radius r and reducing the 200-mm dimensions, we are asked to redesign the beam in Part (b) of the figure, so that it has a design safety factor equal to or higher than that for the design in Part (a). Determine the amount of reductionrequired (if any) in the 200 mm dimensions, and the resulting factor of safety after redesign. Explain your solution steps and comment on your result. [Hint: Draw bending moment diagram for each beam and compare the critical sections.] y 5.34 kN -250 mm - 250 mm 50 mm dia. A B (a) 500-mm 5.34 kN - 200 mm - 200 mm A r= 5-mm 50 mm dia.- 75 mm dia.- (b)
Transcribed Image Text:Q-1 Figures (a) and (b) below show two designs for a beam to carry a repeated central load of 5.34 kN. Material considered for both beams is AISI 1045 CD steel with Sut = 630 MPa and Syt = 530 Mpa. All other information are as given on the beams. (a) Determine the design which would have the highest design factor of safety for a given material (b) By doubling the fillet radius r and reducing the 200-mm dimensions, we are asked to redesign the beam in Part (b) of the figure, so that it has a design safety factor equal to or higher than that for the design in Part (a). Determine the amount of reductionrequired (if any) in the 200 mm dimensions, and the resulting factor of safety after redesign. Explain your solution steps and comment on your result. [Hint: Draw bending moment diagram for each beam and compare the critical sections.] y 5.34 kN -250 mm - 250 mm 50 mm dia. A B (a) 500-mm 5.34 kN - 200 mm - 200 mm A r= 5-mm 50 mm dia.- 75 mm dia.- (b)
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