Learning Goal: To determine an l-beam's maximum bending moment, moment of inertia using the parallel-axis theorem, and the maximum stress at a given location using the flexure formula As shown, I-beam ABC supports a sign having a mass of S= 11 kg The l-beam is 740 mm long and is further supported by a rod that is attached 420 mm from the wall. Assume that all forces acting on the I-beam act along its centroid and that the l-beam's weight is negligible. Let the dimensions of the l-beam be w = 90 mm g= 25 mm, h = 70 mm j= 25 mm, c= 110 mm la B D. Part A - Free-body diagram of beam ABC Before the problem can be analyzed, a free-body diagram must be drawn to understand the forces and reactions that act on the -bam. Drew the free-bady diagram of beam ABC. A free-body diagram includes the forces acting on the object, in this case the beam. Start your vectors at the black dots. You will not be graded on vector length. Ignore all reaction forces in the x direction, and assume all vertical reaction forces point upward. > View Available Hint(s) No elements selected L. Select the elements from the list and add them to the canvas setting the appropriate attrioutes.
Learning Goal: To determine an l-beam's maximum bending moment, moment of inertia using the parallel-axis theorem, and the maximum stress at a given location using the flexure formula As shown, I-beam ABC supports a sign having a mass of S= 11 kg The l-beam is 740 mm long and is further supported by a rod that is attached 420 mm from the wall. Assume that all forces acting on the I-beam act along its centroid and that the l-beam's weight is negligible. Let the dimensions of the l-beam be w = 90 mm g= 25 mm, h = 70 mm j= 25 mm, c= 110 mm la B D. Part A - Free-body diagram of beam ABC Before the problem can be analyzed, a free-body diagram must be drawn to understand the forces and reactions that act on the -bam. Drew the free-bady diagram of beam ABC. A free-body diagram includes the forces acting on the object, in this case the beam. Start your vectors at the black dots. You will not be graded on vector length. Ignore all reaction forces in the x direction, and assume all vertical reaction forces point upward. > View Available Hint(s) No elements selected L. Select the elements from the list and add them to the canvas setting the appropriate attrioutes.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Learning Goal:
To determine an l-beam's maximum bending moment, moment of inertia using the paralel-axis theorem, and the maximum stress at a given location using the flexure formula
As shown, I-beam ABC supports a sign having a mass of S= 11 kg The l-beam is 740 mm long and is further supported by a rod that is attached 420 mm from the wall. Assume that all forces
acting on the l-beam act along its centroid and that the l-beam's weight is negligible. Let the dimensions of the l-beam be w = 90 mm g= 25 mm, h = 70 mm j= 25 mm, c= 110 mm
B
Part A - Free-body diagram of beam ABC
Before the problem can be analyzed, a free-body diagram must be drawn to understand the forces and reactions that act on the -bam. Drew the free-bady diagram of beam ABC.
A free-body diagram includes the forces acting on the object, in this case the beam. Start your vectors at the black dots. You will not be graded on vector length. Ignore all reaction
forces in the x direction, and assume all vertical reaction forces point upward.
> View Available Hint(s)
No elements selected
L.
Select the elements from the list and add them to the canvas setting the appropriate attrioutes.
Transcribed Image Text:Part B - Moment of inertia of beam ABC
Determine the moment of inertia I of l-aeam ABC Recall that in an i-beam, the fianges are the horzontal top and bottom sections and the web is the vertical section between the two flanges
Express your answer to three significant figures and include the appropriate units.
> View Available Hint(s)
I- Value
Units
Submit
Part C- Bending moment at section a-a in beam ABC
Determine the absolute value of the bending moment in the beam at section a-a which is 110 mm from the wall.
Express your answer to three significant figures and include the appropriate units.
> View Available Hintts)
?
|M| = Value
Units
Submit
Part D- Absolute maximum bending stress in sectlon a-a on beam ABC
Delerine the ubsuiule muximum berndng stessin Uhs cross suclion al cul a-e usirng lhe lexure fonuku.
Express your answer in Ml'a to three significant figures.
> View Available Hintis)
AE It vec
?
lOmar| =
MPa
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