Practice Quiz Quiz SettingsTOPICS Mechanics of Materials Statics Material PropertiesDIFFICULTY LEVELSLEVEL 1LEVEL 2LEVEL 3NUMBER OF QUESTIONS5 questions selected out of 67 that matched your settingsOPTIONS Change quiz settings Submit a question Ready?We've selected your questions from our question bank. Click the start button below to begin! Question 1 of 5 Material Properties | Stress-strain curves | difficulty level 3The equation below can be used to calculate the true stress $\sigma_t$ based on the engineering stress $\sigma_e$ and the engineering strain $\varepsilon_e$.$$ \sigma_t = \sigma_e (1 + \varepsilon_e) $$Beyond what point is this equation typically no longer considered to be applicable? Beyond yielding Beyond the proportional limit Beyond necking It is applicable for all strain levels Report this questionExplanationThe derivation of the true stress equation makes an assumption that the material volume remains constant duing the tensile test. This is no longer true once necking occurs, due to the sudden reduction in the cross-sectional area of the test piece, and as such this equation is only valid up to the onset of necking. Question 2 of 5 Statics | Shear Forces & Bending Moments | difficulty level 1Consider a beam of length L, fully fixed at one end and subjected to a constant bending moment $M_0$ at the free end. What is the shape of the shear force diagram for this beam? A constant shear force along the length of the beam No shear force at any point in the beam Linearly increasing from zero at the free end A parabolic curve Report this questionExplanationThe moment $M_0$ that is applied to the free end of the beam is balanced by a reaction moment at the fixed end of the beam. This generates a bending moment of constant magnitude along the length of the beam. As no forces are acting along the length of the beam no shear forces are developed.The shear force and bending moment diagrams are shown below. Question 3 of 5 Material Properties | Stress-strain curves Ductility | difficulty level 1Which of the three materials shown below is most brittle? Material C Material A Material B Report this questionExplanationUnlike ductile materials, brittle materials fracture when very small deformations are applied to them.Material A fractured in the tensile test at a lower strain than Material B or Material C, and as such is the most brittle of the three materials. Question 4 of 5 Mechanics of Materials | Mohr's circle | difficulty level 1In a Mohr's circle representation for plane stress conditions, what does the center of the circle represents? Maximum shear stress Average normal stress Minimum principal stress Maximum principal stress Report this questionExplanationMohr's circle is a graphical representation of the state of stress at a point.The maximum shear stress is represented by the diameter of the circle. The maximum and minimum principal stresses are the stresses for which the shear stress is equal to zero. And the average normal stress is equal to the centre of the circle. Question 5 of 5 Mechanics of Materials | Finite Element Method | difficulty level 2In the finite element method, how does the size of the element stiffness matrix change with respect to the number of nodes in the element? It remains constant regardless of the number of nodes It decreases proportionally with the number of nodes It increases proportionally with the number of nodes It depends on the material properties, not the number of nodes Report this questionExplanationThe size of the stiffness matrix is determined by the number of degrees of freedom (DOFs) associated with the element. Each node has a certain number of DOFs depending on the type of analysis. Thus, as the number of nodes in an element increases, the number of DOFs and hence the size of the stiffness matrix increase.Your Results Restart with New Questions Change Quiz Settings Review the Questions
