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. (Write your answers in terms of M0, the original maximum load.) (a) tripling the width The maximum safe load is now M0. (b) tripling the depth The maximum safe load is now M0. (c) halving the length The maximum safe load is now M0. (d) halving the width and doubling the length The maximum safe load is now M0.
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. (Write your answers in terms of M0, the original maximum load.) (a) tripling the width The maximum safe load is now M0. (b) tripling the depth The maximum safe load is now M0. (c) halving the length The maximum safe load is now M0. (d) halving the width and doubling the length The maximum safe load is now M0.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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. (Write your answers in terms of
M0,
the original maximum load.)
(a) tripling the width
(b) tripling the depth
(c) halving the length
(d) halving the width and doubling the length
The maximum safe load is now
M0.
(b) tripling the depth
The maximum safe load is now
M0.
(c) halving the length
The maximum safe load is now
M0.
(d) halving the width and doubling the length
The maximum safe load is now
M0.
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