## [answered] BME303 HW 6 Due: 12/7/2016 1. A rod is under the loading wi

The topic of assignment is calculation of?beam buckling and bending. Can anyone please solve these questions with details? Thank you.

BME303 HW 6 Due: 12/7/2016 1. A rod is under the loading with two boundary conditions 1) pinned two ends, 2) fixed

end at the bottom and free at the top, and 3) following condition (2) but guided top

(Figure). The critical buckling load PCr can be expressed as

PCr = ?2 EI / L2 for condition (1) PCr = ?2 EI / (4L2), for condition (2)

PCr = 2.05?2 EI / L2 for condition (3) respectively. Assuming the cross section of the beam is an I shape with defined geometry in figure.

E = 60 GPa, L = 1200 mm. Calculate the critical load for above three cases and clearly

indicate which way the bending would occur (e.g., rotate along which axis). (Hint:

consider Izz and Iyy) P P (1) (2) P (3) Y 8 mm

20 mm

10 mm Z

20 mm 2. A rod is under the loading with multiple boundary conditions (Figure).

(1) Please calculate the Pcr, and indicate initial buckling section.

The parameters are L1= 60mm, L2= 90mm,

Cross section is a cylinder, R= 8mm, r= 5mm, E = 10GPa.

L1

(2) If the modulus of L1 section is changed to E1= 18GPa,

and L2 section retained same, what Pcr would be and where is it

located? P L2 3. A cylinder beam is under the axial loading, P = 3000 N. The dimension is assumed as

R = 25 mm and r = 20 mm. E = 20 GPa. The total length of the beam is L. A design

decision shall be made for the total length, L, in which the axial stress xx shall be

controlled at the transitional stress (at the point of buckling). Please calculate this critical

length. (Hint: calculate both axial stress and buckling stress, and compare)

z P

L

y x

Solution details:
STATUS
Answered
QUALITY
Approved
ANSWER RATING

This question was answered on: Sep 18, 2020

Solution~0001005695.zip (25.37 KB)

Buy this answer for only: \$15

This attachment is locked

We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free copy from our tutoring website www.aceyourhomework.com (Deadline assured. Flexible pricing. TurnItIn Report provided)

STATUS

Answered

QUALITY

Approved

DATE ANSWERED

Sep 18, 2020

EXPERT

Tutor

ANSWER RATING

### Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN YOUR SET DEADLINE.