CMCE 1215 – Strength of Materials Prof. J. McIntosh

Fall 2020

Project #1

Wood Framing Plan

Shear and Bending Moment Diagrams

Due Date: Friday, December 4, 2020 (Beginning of Class)

DESCRIPTION

For your case number, perform the following calculations and computer analysis for each of the following beam

scenarios.

A. Simple supported – Beam J1

B. Simple supported overhang beam, with planter – Beam J2

C. Simple supported overhang beam with hot tub and planter – Beam J3

REQUIRED

1. Draw to scale a Complete Loading Diagram, Shear Diagram, and Bending Moment Diagram for each of the

three beams (top of drawing as left hand side of diagram). Use engineering quality graph paper. Fully Label

the Shear & Moment Diagram with: maximum M, points of zero shear, all required points in #2 below.

2. Shear & Moment: At the 2/3 X point from the left reaction (top of page) perform a calculation by taking a

section to the left of the point (å LEFT = 0), confirming the Shear and Bending Moment for each of the beams

at that point in comparison to your shear and moment diagrams. All calculations must include a

neat clearly labeled sketch (F.B.D.) showing all loads acting on that section of the beam.

3. Using a shear and moment diagram online calculator determine the Shear and Moment diagrams of each of

the three beams. Examples of free online calculators include: bendingmomentdiagram.com and

beamguru.com. Fully label the Shear & Moment diagram. (maximum M, points of zero shear).

REPORT REQUIREMENTS

Submit all work neatly fastened on 8 ½ x 11 engineering type paper as follows and in this order:

A. Cover Page – Include your name, course #, case #, project name, date submitted, date due (if

late, write late on the cover).

B. Instruction pages and framing plan.

C. Support calculations for Beams J1, J2 and J3 reactions: This should consist of the loading

diagram, FBD (drawn to an approximate scale) and reaction calculations. D. Calculations

for item “2” above.

E. Hand drawn solution for the shear & bending moment diagram. Fully label the shear & moment

diagram (maximum M, points of zero shear, all required points in #2 above).

F. Online calculator computer printout of shear and moment diagrams for beams J1, J2 and J3.

Notes:

• All pages should have your name, date, CMCE 1215 and be numbered

• Late projects (after beginning of class and until the end of the due date) will be penalized (-

50%). After this time frame late projects will not be accepted.

CMCE 1215 Strength of Materials – Project #1

Wood Framing Plan – Shear and Bending Moment Diagrams

Framing Plan – Dimensions & Loading

First letter of last

name of student “X”

(feet)

“Z”

(feet)

A to C 16 4

D to H 18 4

I to N 20 4

O to R 12 4

S to Z 14 4

Uniformly Distributed Load

First letter of first

name of student Live Load (p/ft2) Dead Load

(p/ft2)

A to C 30 25

D to H 30 15

I to N 35 20

O to R 40 15

S to Z 35 10

* Hot Tub Weight when full of water 2,000 pounds.

** Assume Palm Tree planters are a point load with a weight of 250 pounds (each)

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