Home Machine Design Module 03: Beams

Module 03: Beams

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Beams

LINK: Beams

Topics:

Beams
Simply-Supported Beams
Cantilever Beams
Fixed Beams
 

 

Exercises

1. A simply supported beam is 60 mm by 180 mm in cross section and 6 m long. If the flexural stress is not to exceed 8.5 MPa, find the maximum mid-span concentrated load.

a. 2.31 kN

b. 1.84 kN

c. 3.88 kN

d. 4.00 kN

2. A vertical load of 1200 N acts at the end of a horizontal rectangular cantilever beam 3.2 m long and 28 mm wide. If the allowable bending stress is 120 MPa, compute the depth of the beam.

a. 75.3 mm

b. 82.8 mm

c. 88.3 mm

d. 72.1 mm

3. A 12 m cantilever beam has a uniform load of 2.5 kN/m from left to right end and with concentrated load of 12 kN at the center. Find the maximum slope of the beam. (EI=13000 kN-m2)

a. 3.21 deg

b. 4.13 deg

c. 2.50 deg

d. 5.27 deg

4. An 8 m cantilever beam has a uniform load of 5 kN/m from left to the right end. Compute the maximum slope of the beam. (EI=12500 kN-m2)

a. 2.11 deg

b. 1.96 deg

c. 3.54 deg

d. 4.18 deg

5. A 10 m cantilever beam has a concentrated load of 28 kN at the mid-span. Find the maximum slope of the beam. (EI=12000 kN-m2)

a. 5.31 deg

b. 1.67 deg

c. 3.21 deg

d. 4.32 deg

6. An 10 m simply supported beam with a uniform load of 4 kN/m from left end to right end and concentrated load of 18 kN at the center has a maximum deflection of _____ (EI=10000 kN-m2)

a. 89.58 mm

b. 75.98 mm

c. 68.87 mm

d. 92.11 mm

7. A 13 m simply supported beam with uniform load of 3 kN/m from right end to left end and has a maximum deflection of ____. (EI=11000 kN-m2)

a. 132.1 mm

b. 162.8 mm

c. 148.7 mm

d. 101.4 mm

8. A 15 m simply supported beam has a uniform load of 4 kN/m extended from left end to 5 m and has a concentrated load of 12 kN, 3 m from the right end. Find the maximum moment at the 12 kN concentrated load. (EI=9000 kN-m2)

a. 28.1 kN-m

b. 42.8 kN-m

c. 38.8 kN-m

d. 58.7 kN-m

9. A horizontal cantilever beam, 25 ft long is subjected to a load of 6000 lb located to its center. The dimension of the beam is 8 x 15-in, respectively. W=130 lb/ft, find its flexural stress.

a. 4583.2 psi

b. 5211.8 psi

c. 3854.2 psi

d. 2113.7 psi

10. A 7 ft x 15 ft steel plate is to be divided into three parts equally by cutting crosswise. If the cutting rate is 0.5 in per min, how long will it take to do the job?

a. 336 min

b. 283 min

c. 386 min

d. 355 min

11. How long will it take to mill a 0.5 by 3.5-in long keyway in a 4.5-in diameter shafting with a 26-tooth cutter turning at 100 rpm and 0.006-in feed per tooth?

a. 10.25 sec

b. 13.46 sec

c. 16.28 sec

d. 18.87 sec

12. Calculate the manual cutting time in minutes of a steel plate 4 ft x 8 ft by ½-in thick with a hand cutting speed of 4 to 5 mm/sec, cutting crosswise.

a. 5.31 min

b. 8.22 min

c. 4.52 min

d. 7.87 min

13. In an Oxygen-acetylene manual welding, to weld a 6 ft long seam in a 3/4-in thick steel plate at a consumption rate of 12 ft3/ft for oxygen and 10 ft3/ft for acetylene. Find the total gas consumption, in ft3.

a. 195

b. 165

c. 158

d. 132

14. Compute the drill penetration in inch per minute when a drill turns at 1200 rpm and the feed of 0.005-in per revolution.

a. 5

b. 6

c. 7

d. 8

15. Find the time, in seconds, to saw a rectangular bar 8-in wide and 1.8-in thick if the length of cut is 8-in, the power hacksaw does 130 strokes per minute and the feed per stroke is 0.155 mm.

a. 605.0 sec

b. 632.8 sec

c. 658.1 sec

d. 687.1 sec

16. Compute the cutting speed, fpm of a work piece with 6-in diameter and running at 120 rpm.

a. 188.5

b. 198.9

c. 173.8

d. 155.4

Answer Key (Handwritten)

Bending and Thermal Stress

Impact Loading on Beams

 

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