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Section 1.10
Question 74
The maximum load that a horizontal
beam can safely support varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine how each change affects the beam’s maximum load.
(a) Doubling the width
(b) Doubling the depth
(c) Halving the length
(d) Halving the width and doubling the length
Can you please do part (a) in step by step fashion as a guide for me to do the rest?
Let M = maximum load
Let k = constant of proportionality
Let w = width of the beam
Let d = depth of beam
I think the formula needed here is M = kwd.
Yes?
This question completes Chapter 1.
Question 74
The maximum load that a horizontal
beam can safely support varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine how each change affects the beam’s maximum load.
(a) Doubling the width
(b) Doubling the depth
(c) Halving the length
(d) Halving the width and doubling the length
Can you please do part (a) in step by step fashion as a guide for me to do the rest?
Let M = maximum load
Let k = constant of proportionality
Let w = width of the beam
Let d = depth of beam
I think the formula needed here is M = kwd.
Yes?
This question completes Chapter 1.