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EAS211 Homework 4 201804

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This homework assignment is due at 4:00pm on Thursday, October 25th (10/25) to the CEE Office (EB200) homework dropbox. Make sure to timestamp your submission and to follow the homework formatting guidelines and examples posted on D2L.

Rigid Body Equilibrium

The following problem requires you to solve for the force reactions of a structure from the Hibbeler textbook, with some modifications.

Problem 1 (100 Points): Hibbeler 5-64

This problem requires you to solve for the reaction forces of a system based off problem 5-64 in your Hibbeler textbook. The modified figure is shown below:

Figure 1: Modified Problem 5-64

The force magnitudes and some dimensions have been assigned to variables, and a couple moment is now applied to the system. The structure is still supported by only a fixed support at point A.

Each student is assigned a different combination of dimensions and force/moment magnitudes, as provided in the table attached to this assignment.

D1=1.12m D2=1.67m D3=2.99m F1 =302.73N F2=442.94N F3=215.22N M1=462.31N.m

EAS211 Homework 4 201804

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Your only task for this assignment is to solve for the reaction supports at point A. Some things to keep in mind:

1. You must provide FBDs to support any equilibrium equations 2. Provide your final answers in units of Newtons and meters 3. Indicate the actual direction of each reaction using the proper sign (e.g. provide a negative value if it is

pointed in the negative x-direction) 4. You must print out the provided cover sheet and rubric and attach it to the front of your assignment

before submitting it

Grading Rubric

Your submission will be graded on the following criteria:

CRITERIA MAX POINTS

Cover page and rubric provided w/o modification (except name) 2.5 LastName, FirstName added to cover page and rubric 2.5

Given/Required/Solution format followed 2.5

Engineering paper used (see Instructor for approval of non-engineering graph paper) 2.5 Proper header provided 2.5

Proper engineering figures (straightedge, to scale, etc.) 5 Subheaders provided in “Solution” section to organize work 2.5

Final answers clearly identified 5 Final answer units of feet and pounds 5

Given: provide engineering sketch showing all provided values (including loading and geometry) 5

FBD: complete, accurate FBD to support equilibrium equations 15 Equilibrium Equations: complete, organized 20 Final Answers: correct in magnitude, units, and sign 20 Overall professional presentation (well organized, easy to follow, proper grammar, clear calcs, etc.) 10

MAX/MIN 100