AM 317 Experiment 1
AM 317
MECHANICS LAB
EXPERIMENT 1
BEAM DEFLECTIONS
TEST PERFORMED: FEBRUARY 4, 2015
REPORT SUBMITTED: FEBRUARY 11, 2015
BY
HAGOP MERTEKHANIAN
Student I.D # 105200288
Wednesday 7:00 pm
GROUP 1
ABSTRACT
Deflections of a beam are important to be able predict the amount of deflection for a given loading situation. This experiment addresses determining the yield point for a material to fail, so the stress in the material does not have to reach to that point. This is where understanding beam deflection becomes a useful tool. This experiment is using beam deflection theory to evaluate and compare observed deflection per load values to theoretical values. Beam deflection experiment done by four parts. Part 1 -Simple Supported Bean, part 2-Cantilever Beam, part 3-The Principle of Superposition, and Part 4-Maxwell’s Reciprocity Theorem. For part 1 and 2 beam dimensions were recorded and are moment of inertia (I) was calculated using the following formula I=bh3/12.for part1, maximum permissible loads for mid-span and quarter-span were calculated. For part 2 maximum permissible loads for mid-span and end of the cantilever beam were calculated. For both parts different loads were applied and deflections were recorded. After calculating average modulus of elasticity for simple supported beam, which was approximately (-27.6*10^6 psi), it was compared to modulus of elasticity chart. The result indicates that the beam simple supported beam was made of Wrought iron. For cantilever beam, average modulus of elasticity were calculated, which was approximately (9148056.3), and compared with young’s modulus chart .the result indicate that cantilever beam was made of Aluminum. Part 3 reference point was chosen, single concentrated load at other point was applied and deflection was recorded at reference point. Same procedure was applied at another point on the beam and deflection was recorded at reference point. Finally, both loads were applied and deflection was recorded at the
MECHANICS LAB
EXPERIMENT 1
BEAM DEFLECTIONS
TEST PERFORMED: FEBRUARY 4, 2015
REPORT SUBMITTED: FEBRUARY 11, 2015
BY
HAGOP MERTEKHANIAN
Student I.D # 105200288
Wednesday 7:00 pm
GROUP 1
ABSTRACT
Deflections of a beam are important to be able predict the amount of deflection for a given loading situation. This experiment addresses determining the yield point for a material to fail, so the stress in the material does not have to reach to that point. This is where understanding beam deflection becomes a useful tool. This experiment is using beam deflection theory to evaluate and compare observed deflection per load values to theoretical values. Beam deflection experiment done by four parts. Part 1 -Simple Supported Bean, part 2-Cantilever Beam, part 3-The Principle of Superposition, and Part 4-Maxwell’s Reciprocity Theorem. For part 1 and 2 beam dimensions were recorded and are moment of inertia (I) was calculated using the following formula I=bh3/12.for part1, maximum permissible loads for mid-span and quarter-span were calculated. For part 2 maximum permissible loads for mid-span and end of the cantilever beam were calculated. For both parts different loads were applied and deflections were recorded. After calculating average modulus of elasticity for simple supported beam, which was approximately (-27.6*10^6 psi), it was compared to modulus of elasticity chart. The result indicates that the beam simple supported beam was made of Wrought iron. For cantilever beam, average modulus of elasticity were calculated, which was approximately (9148056.3), and compared with young’s modulus chart .the result indicate that cantilever beam was made of Aluminum. Part 3 reference point was chosen, single concentrated load at other point was applied and deflection was recorded at reference point. Same procedure was applied at another point on the beam and deflection was recorded at reference point. Finally, both loads were applied and deflection was recorded at the
References: 1-Ehrgott, Richard, Mechanical Laboratory Am 317, CSUN, 2015 2-Rho, JY (1993). "Young 's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements". Journal of Biomechanics 26 (2): 111–119. doi:10.1016/0021-9290(93)90042-d. 3-.Mertekhanian, Hagop. CE 3410 Notes – “Bending summary”, received in class. f. 1)