Homework $4-50$ points total

Due Date: Friday, October $13,2024$ at $11$:$59$ pm

Instructions:

Grading will be based on the steps taken towards the solution. However, presentation of

your work is equally important

You may consult with others in class but your assignment must be original in nature

Use Canvas to submit your work in pdf format. Do not upload multiple pdf$\text{'}$s

You report must be clear and legible. This is your responsibility.

Objectives:

At the end of this homework students will be able to:

Analyze and design a wood member subjected to combined $P+M$ using LRFD

Use the Excel spreadsheet you developed to determine member capacities; you are

welcome not required to use Excel to solve for the design portion as well

Prepare a professionally written report

Problem $1$ Axial Plus Combined Bending $(50$ pts $)$

You are required to determine the size of a pinned$-$pinned single stud wood member used in an

exterior stud wall. This is for a one$-$story office building.

The exterior wood stud is spaced at $16$ in on center. This member is subjected to axial plus

combined bending. The axial loads $P$ comes from the roof loading. The distributed load comes

from the wind pressure or suction. Bending occurs about the strong axis bending.

The required load combination is $LC=1\mathrm{.}2D+1\mathrm{.}6Lr+0\mathrm{.}5W.$ Other load combinations are

required for final design but NOT necessary at this time. Use LRFD for the analysis and design

phases. Show FBDs to substantiate your work. See Figures $1$ and $2$ below.

Use the Excel file you developed to determine member capacities. Feel free to modify it for

design if you like it$.$ Show all calculations.

Assume the stud is fully braced by interior$/$exterior sheathing. The MC exceeds $19\%$ and the

temperature is $100$ F $.$ The height of the wall is $10$ ft $.$

Assume visually graded dimension lumber Spruce Pine Fir $($SPR$)$ No$.1$ & Better. Determine the

deflection due to wind. The limit is $wWD=\frac{L}{180}.$ The studs are not incised.