Solid Modeling and Manufacturing, Fall 2023
Homework 1, Due September 6, 2023
1. A 100-mm-long strip of metal is stretched in two steps, first to 200 mm and then to 400 mm. Show
that the total true strain is the sum of the true strains in each step; in other words, the true strains are
additive. Show that, in the case of engineering strains, the strains cannot be added to obtain the total
strain.
2. A cable is made of two strands of different materials, A and B, and cross sections as follows:
For material A, K = 400 MPa, n = 0.5, Ao = 0.00050 m2.
For material B, K = 275 MPa, n = 0.5, A0 = 0.00025 m0.
Calculate the maximum tensile force that this cable can withstand prior to necking.
3. A metal has the following properties: Sut = 400 MPa and n = 0.20. Calculate its strength coefficient, K
4. If a material has a target hardness of 300 HB, what is the expected indentation diameter?