Problem Statement: A wooden deck is constructed to support a haystack as shown. The joists of the floor aro to bo mado with drossod air-dry douglas fir lumbor with nominal widths of 2 inches. You know that a 14"x18"x36" square bale of this kind of hay weighs 64 lb, and you are assuming the hay in the haystack has the same density as these square bales. (This is probably a conservative estimate, since the bales are probably denser than the stack in reality.) You would like to design the joists to have a factor of safety of 4 against yielding. Determine the following: (a) The maximum value of the distributed load applied to one joist. (b) The maximum bending moment experienced by one joist. (c) The minimum required height h of the jaists. (d) The minimum requirod section modulus of the joists. (0) The smallost standard lumber sizo accoptable to use for joists.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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2013Muhad Satum
Dimensions:
6 in 8 ft 3.5 ft
Problem Statement:
A wooden deck is constructed to support a haystack as shown. The joists of the floor are to be made with dressed air-dry douglas fir lumber with nominal widths of 2 inches. You know that a 14"x18"x36" square bale of this
kind of hay weighs 64 lb, and you are assuming the hay in the haystack has the same density as these square bales. (This is probably a conservative estimate, since the bales are probably denser than the stack in
reality.) You would like to design the joists to have a factor of safety of 4 against yielding. Determine the following:
(a) The maximum value of the distributed load applied to one joist.
(b) The maximum bending moment experienced by ane joist.
(c) The minimum required height h of the joists.
(d) The minimum required section modulus of the joists.
(e) The smallest standard lumber size acceptable to use for joists.
Answers:
(a) wmoz =
(b) Mmaz=
(c) hmin
(d) Suta
(e) Lumber Choice = 2x6
Transcribed Image Text:2013Muhad Satum Dimensions: 6 in 8 ft 3.5 ft Problem Statement: A wooden deck is constructed to support a haystack as shown. The joists of the floor are to be made with dressed air-dry douglas fir lumber with nominal widths of 2 inches. You know that a 14"x18"x36" square bale of this kind of hay weighs 64 lb, and you are assuming the hay in the haystack has the same density as these square bales. (This is probably a conservative estimate, since the bales are probably denser than the stack in reality.) You would like to design the joists to have a factor of safety of 4 against yielding. Determine the following: (a) The maximum value of the distributed load applied to one joist. (b) The maximum bending moment experienced by ane joist. (c) The minimum required height h of the joists. (d) The minimum required section modulus of the joists. (e) The smallest standard lumber size acceptable to use for joists. Answers: (a) wmoz = (b) Mmaz= (c) hmin (d) Suta (e) Lumber Choice = 2x6
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