2009+8-1StressStrain - Introduction to Solid Mechanics...

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1 SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS It studies 1)Strength problems : find relationships between external loads applied to a body and the stress, i.e., the intensity of internal forces acting within the body around a point. SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS It studies 2)Stiffness problems : compute deformations of the body and judge if they are beyond the allowed ranges. SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS It studies 3)Stability problems : figure out if the body is stable when it is subjected to external forces. SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS To design any structure or machine, it is necessary that 1)Using principles of statics, determine external loads and internal forces of its various members SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS To design any structure or machine, it is necessary that 2)Based on internal forces and mechanical behavior of material used to form the members, develop the necessary equation to compute their stresses, strains, deflections and study their stability, establish many formulas and rules for design
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2 SJTU Introduction to Solid Mechanics -Vm211 MECHANICS OF MATERIALS NORMAL STRESS AND SHEAR STRESS SJTU Introduction to Solid Mechanics -Vm211 NORMAL STRESS AND SHEAR STRESS Today’s Objectives: Students will be able to: a) Understand the concept of normal stress b) Analyze and design of members subjected to axial load Figure 8-7 SJTU Introduction to Solid Mechanics -Vm211 NORMAL STRESS AND SHEAR STRESS Today’s Objectives: Students will be able to: a) Understand the concept of shear stress b) Analyze and design of members subjected to direct shear Figure 8-12 SJTU Introduction to Solid Mechanics -Vm211 ± To obtain intensity of internal force over a sectioned plane passing through a point within a body CONCEPT OF STRESS SJTU Introduction to Solid Mechanics -Vm211 ± Assumptions of material: 1.It is continuous (uniform distribution of matter) 2.It is cohesive (all portions are connected together) CONCEPT OF STRESS SJTU Introduction to Solid Mechanics -Vm211 CONCEPT OF STRESS Problem Consider Δ A in figure below ± Small finite force, Δ F acts on its associated area Δ A ± As Δ A 0, Δ F 0 ± But stress ( Δ F / Δ A ) finite limit ( )
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3 SJTU Introduction to Solid Mechanics -Vm211 Intensity of force, or force per unit area, acting normal to Δ A, its magnitude depends on the type of load and the orientation of the element •Symbol±used±for ± normal stress, is σ (sigma) σ z = lim Δ A 0 Δ F z Δ A NORMAL STRESS SJTU
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2009+8-1StressStrain - Introduction to Solid Mechanics...

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