In a material the principal stresses are 60 MN/m², 48 MN/m² and -36 MN/m². When the values of E = 200 GN/m² and= 0.3, the total strain energy per unit volume will be nearly43.5 kNm/m³35.5 kNm/m³27.5 kNm/m³

Given: In a material the principal stresses are, σ1=60 MNm2, σ2=48 MNm2,σ3=-36 MNm2, E = 200 GN/m2…

In a material the principal stresses are 60 MN/m², 48 MN/m² and -36 MN/m². When the values of E = 200 GN/m² ar 1 = 0.3, the total strain energy per unit volume will be nearly 43.5 kNm/m³ 35.5 kNm/m³

In a material the principal stresses are 60 MN/m², 48 MN/m² and -36 MN/m². When the values of E = 200 GN/m² ar 1 = 0.3, the total strain energy per unit volume will be nearly 43.5 kNm/m³ 35.5 kNm/m³

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Problem 4. Two strain gages are mounted on a thin-walled cylindrical pressure vessel. One strain gage is oriented parallel to the longitudinal axis of the thin-walled cylindrical pressure vessel while the other strain gage is perpendicular to the first. The tank has radius r= 20 in. and wall thickness of t= 0.4 in. It is made from a material that has %3D Young's Modulus E = 15x10® psi and Poisson's Ratio v =0.31. The strain gages in. report the following after the tank is pressurized: & = 133.0µ and ɛy = 591.5µ. in. in. in. E (& + v&µ) and ơ E From Hooke's Law: 0 (1-v*) (1-v²) Determine: Gage Pressure p
Q 55 1. What is the boundary tension called where the material ceases to comply with Hooke's Law? 2. How can a material with final deformation of 10% be characterized? 3. The stress-strain curve with the actual stress is calculated in the current area and has different final stress from the engineering stress, being called... 4. What is the stress that causes permanent deformation in the material? 5. What is the % range of the yield limit of some steels referring to the limit stress that the material begins to suffer deformation? 6. For what type of material can the Octahedral Stress Criterion be applied? 7. What is the tension at which the material begins to soften?
An unknown material has a longitudinal strain of 0.0014 and a lateral strain of 0.035. What is the expected shear modulus if the Young's modulus is 100000 MPa? in MPa O 50,000 O 40,000 O 35,000 O 45,000 30,000
5. A plane stress state is given by ơ1 =-3 0o, 02 = 2 and 112 = 00 The yield stress for this material is Oy. Assume now that the governing stress o, is increased monotonically. 5.1. At what value of o, will yielding occur according to Tresca's criterion? 5.2. At what value of o, will yielding occur according to Von Mises' criterion? 5.3. Which is the more conservative and by how much (%)?
In a thin cylindrical shell, the ratio of longitudinal stress to hoop stress is (a) 0.5 (c) 1.5 (b) 1.0 (d) 2.0
The extruded plastic shape has dimensions of D = 35 mm, d = 33 mm, a = 98 mm, and t = 4 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 340 N. (b) If the allowable shear stress for the plastic material is 1400 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? a Answer: (a) TA = КРа (b) V = N
The extruded plastic shape has dimensions of D = 39 mm, d = 33 mm, a = 87 mm, and t = 8 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 350 N. (b) If the allowable shear stress for the plastic material is 1100 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? a Answer: (a) Ta = kPa (b) V =
Question 5 In a plane strain ordinate in x-y plane the strain component associated with xy axis are = 100×10,0y=-400×10 The maximum principal strain for these value is: € = 600x10,₂ = 100×10%
In a strained material stresses are given below sigma_x=100Mpa & sigma_y=-50Mpa txy=30Mpa.Calculate total strain energy, volumetric strain energy, shearing strain energy. E=2.1×10^5Mpa & mu=0.28
At the proportional limit, a 20-mm-thick x 75-mm-wide bar elongates 4.1 mm under an axial load of 550 kN. The bar is 1.6-m long. If Poisson's ratio is 0.32 for the material, determine the modulus of elasticity. O 153.6 GPa O 90.2 GPa O 169.1 GPa O 101.1 GPa O 143.1 GPa
CE question
The principal strains in a plane, measured experimentally at a point on the aluminum fuselage of a jet aircraft, are ε1 = 60 x 10-6, and ε2 = 210 x 10-6. If this is a case of plane stress, determine the associated principal stresses at the point in the same plane. E(al)= 10(10^3)ksi V(al)= 0.33