Joists support a floor and transfer their load to beams at each end of each joist. Joists are 2 ft on center and 30 ft long. If w, the load on the floor, is uniformly distributed and is 30 lb/ft2, what is the load on one joist? If the maximum flexural stress S in a joist is given by S = M/Z, where M is the maximum bending moment (pound-foot) and Z is the section modulus (cubic inches), what is the stress in a joist that has a section modulus of 50 in.3 and is 30 ft long? Assume that the maximum bending moment for a simply loaded joist is given by M = wL2/8, If the joists are made of pine, which has an allowable bending stress of 9,300 lb/in.2, will it carry the load?
Joists support a floor and transfer their load to beams at each end of each joist. Joists are 2 ft on center and 30 ft long. If w, the load on the floor, is uniformly distributed and is 30 lb/ft2, what is the load on one joist? If the maximum flexural stress S in a joist is given by S = M/Z, where M is the maximum bending moment (pound-foot) and Z is the section modulus (cubic inches), what is the stress in a joist that has a section modulus of 50 in.3 and is 30 ft long? Assume that the maximum bending moment for a simply loaded joist is given by M = wL2/8, If the joists are made of pine, which has an allowable bending stress of 9,300 lb/in.2, will it carry the load?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Joists support a floor and transfer their load to beams at each end of each joist.
Joists are 2 ft on center and 30 ft long. If w, the load on the floor, is uniformly distributed and is 30 lb/ft2, what is the load on one joist? If the maximum flexural stress S in a joist is given by S = M/Z, where M is the maximum bending moment (pound-foot) and Z is the section modulus (cubic inches), what is the stress in a joist that has a section modulus of 50 in.3 and is 30 ft long?
Assume that the maximum bending moment for a simply loaded joist is given by M = wL2/8, If the joists are made of pine, which has an allowable bending stress of 9,300 lb/in.2, will it carry the load?
Expert Solution
Step 1 Introduction
Given:
- Spacing between Joist=2 ft.
- Length of Joist=30ft.
- Uniformly distributed load=
- Section modulus=
- Allowable Bending stress=.
Unit conversion used:
- 1ft=12inches
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