Material testing and analysis

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timer Asked: Nov 4th, 2018

Question Description

Required Textbook

  • Kalpakjian & Schmid (2014), Manufacturing Engineering and Technology, 7th Edition, Pearson Education, Inc.
  • ISBN-13: 978-0-13-312874-1

Chapter 7 Homework


7.51 Use the materials shown in the table below. The formula for maximum deflection (d) of a cantilevered beam is d = P * L3 / (3 * E * I), where P is the load (50 kg = 490 N, use P = 490 N), L is the beam length (L = 1 m), E is the elastic modulus, and I is the moment of inertia (I = b*h3/12, where b = 0.02 m and h = 0.075 m, so I = 7.03 x 10-7). Calculate the maximum deflection. ANSWER IN METERS.

Material Elastic Modulus (E) (Pa)

ABS 2.1 x 109

Acetal 2.45 x 109

Epoxy 10.25 x 109

ABS, reinforced 7.5 x 109

Acetal, reinforced 10 x 109

Epoxy, reinforced 36.5 x 109

Aluminum 70 x 109

Steel 195 x 109

Note: The results show that ABS has the most deflection and steel the least.

7.53 Use the table of values below. The formula for required weight (N) is W = p * g * F * L / LaTeX: \sigmaσy where p is the density, g is the gravitational constant (9.81 m/s2), F = 5000 N, L = 1 m, and LaTeX: \sigmaσy is the UTS. Calculate the required weight. ANSWER IN KILOGRAMS.

Material Density (p) (kg/m3) UTS (LaTeX: \sigmaσy) (N/m2)

HMW polyethylene 950 2.4 x 107

Polyester 1270 5 x 107

Rigid PVC 1400 4.1 x 107

ABS 1030 3 x 107

Polystyrene 1000 3.2 x 107

Reinforced nylon 1130 9 x 107

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