3. An object with mass 5 kg is launched at a thin steel sheet, fixed to the ground, of thickness 0.01 m. The object impacts the the steel sheet with an effective cross-sectional area of 10-3 m². Steel's Young's modulus, yield strength, and ultimate strength are given by E 200 × 10⁹ N/m² Sy = 250 × 106 N/m² Su 600 × 106 N/m² respectively. Suppose that the object impacts the steel sheet in a com- pletely inelastic collision over an impact time of 0.2 s. (a) How quickly must the object be moving to cause a strain of 0.1%? (b) How quickly must the object be moving upon impact in order to permanently deform the steel sheet? (c) How quickly must the object be moving to rupture the steel sheet?

3. An object with mass 5 kg is launched at a thin steel sheet, fixed to the ground, of thickness 0.01 m. The object impacts the the steel sheet with an effective cross-sectional area of 10-3 m². Steel's Young's modulus, yield strength, and ultimate strength are given by E 200 × 10⁹ N/m² Sy = 250 × 106 N/m² Su 600 × 106 N/m² respectively. Suppose that the object impacts the steel sheet in a com- pletely inelastic collision over an impact time of 0.2 s. (a) How quickly must the object be moving to cause a strain of 0.1%? (b) How quickly must the object be moving upon impact in order to permanently deform the steel sheet? (c) How quickly must the object be moving to rupture the steel sheet?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

3. An object with mass 5 kg is launched at a thin steel sheet, fixed to the
ground, of thickness 0.01 m. The object impacts the the steel sheet with an
effective cross-sectional area of 10-³ m². Steel's Young's modulus, yield
strength, and ultimate strength are given by
E = 200 × 10⁹ N/m²
Sy 250 × 106 N/m²
600 × 106 N/m²
Su
=
respectively. Suppose that the object impacts the steel sheet in a com-
pletely inelastic collision over an impact time of 0.2 s.
(a) How quickly must the object be moving to cause a strain of 0.1%?
(b) How quickly must the object be moving upon impact in order to
permanently deform the steel sheet?
(c) How quickly must the object be moving to rupture the steel sheet?

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