3-63* At a point on the outside surface of a steel (v 0.30) thin-walled pressure vessel the strain rosette shown in Fig. P3-63 indicates the normal strains ea =+36 µin./in., €6 = +310 µin./in., and e. oriented in the axial and hoop directions of the vessel, re- spectively. Determine the principal strains and the maxi- mum shearing strain at this point. Show the principal strain +150 µin./in. Gages a and c are || deformations and maximum shear strain distortion on a sketch.

3-63* At a point on the outside surface of a steel (v 0.30) thin-walled pressure vessel the strain rosette shown in Fig. P3-63 indicates the normal strains ea =+36 µin./in., €6 = +310 µin./in., and e. oriented in the axial and hoop directions of the vessel, re- spectively. Determine the principal strains and the maxi- mum shearing strain at this point. Show the principal strain +150 µin./in. Gages a and c are || deformations and maximum shear strain distortion on a sketch.

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

Transformations (strain) Q43 A strain guage rosette is placed on the outside surface of a loaded component The rossette has three guages aligned at 0, 45 and 90 degress. The microstrain readings are 578, 57 and 947 respectively. Use these readings to determine: the Maximium in-plane Principal Strain (Answer in microstrain). the Minimum in-plane Principal Strain (Answer in microstrain). the Principal Angle (Answer in degress). the Maximum in-plane Shear Strain (Answer in microstrain). Select the 4 correct answers from the list below/: a. 2041.83268658331 b. 53.2384648095396 c. 39.9288486071547 Od. 46.5836567083472 e. 2088.41634329165 f. 1193.38076759523 g. 26.6192324047698 Oh. 1790.07115139285 Oi. 1750.14230278569 Oj. 22.6033254987178 Ok. 1166.76153519046 I. 2386.76153519046 Om. 875.071151392846 n. 7.53444183290595 ✓o. 1458.45191898808 p. 30.1377673316238 q. 33.2740405059623 1491.72595949404 O s. 15.0688836658119 ✔t. 37.6722091645297
Find normal strain if P was increased until BC's normal stress reached criticL buckling stressb crit. buckling stress = 7.9 Mpa P=2.4 kN E= 70gpa pin to pin braced buckling in truss plane fixd-fixd out of plane buckling sold circular cross section P 70° В 22-mm diameter 1.2 m 18-mm diameter 1.2 m
3. A punch for making holes in steel plates is shown in Fig. a. Assume that a punch having a diameter of 19 mm is used to punch a hole in a 6-mm plate, as shown in the cross-sectional view (see figure (b)). If a force P=125kN is required, what is the average shear stress in the plate and the average compressive stress in the punch? (b) (a)
3.20 Determine the displacements and Green-Lagrange strain components for the deformed configuration shown in Fig. P3.20. The undeformed configuration is shown in dashed lines. Use the suggested form of the deformation mapping, as implied by the deformed configuration. X₂, Xq b AaB x₂ = a₁ X₁ + a₂ X²₁, x₂ =b₂ X₁ + b₂ Xg, Cx₂=X₂. x₁ =α₁ X₁ + a₂ X² X₁, X₁ Fig. P3.20
The state of stress at a point is the result of two loadings as shown in figure. When acting alone, the first loading produces the 3 MPa pure shear with respect of xy-axis. The second loading alone results in the 4 MPa pure shear with respect to the x'y-axis. The angle between the two sets of axis is 30° as shown. If the two loadings act simultaneously then resultant (absolute) shear stress at that point with respect to x-y axis is MPa (in integer). 3 MPa st 1 loading 2 loading 4 MPa α = 30° x'
A thin triangular plate ABC is fixed on side AB. The plate is strained such that all straight lines in the plate remain straight after deformation and that apex C is displaced to point C'as shown. Compute the following: a) the normal strains ex, ey and the shearing strain yxy at point C based on small deformation theory b) the normal strain at point A in the direction of AC based on small deformation theory c) the normal strains ex, ey and the shearing strain yxy at point C based on large deformation theory A 30° -200 mm. 3mm C" 1 I 1 1 60° 4mm
Q.2) A rigid bar ACD is supported by two circular steel (E= 30x10° psi) rods AB & DE and a pin support at C. Bar ACD was horizontal prior to the application of load P. The tensile strain measured in rod AB after the application of the load is ɛ1= 0.003. Determine the rotation 0 of the bar ACD and the normal strain in rod DE. Also calculate the value of load P for these deformations. The diameters of rod AB and DE are 1.5 in. and 2 in, respectively. P - 4 ft 4 ft- 6 ft A Rigid (2) 6 ft 8 ft (1) E В
2. Determine the shearing stress in each of the four walls of a portion of a structural aluminum tubing when it is subjected to a torque of 3 kN-m assuming a uniform wall thickness of 4mm. A ( 51 ) mm В 100 mm 100 mm C D ( 51 ) mm
The assembly in Fig. P-242 consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is attached to its support. A 0.75 m O Steel A = 250 mm² E = 200 GPa 1.5 m Figure P-242 Aluminum L = 2 m A = 300 mm² E = 70 GPa B
Point A in a beam is deformed such that the strain components are ɛx = -1380 µɛ, ɛy = -880 µɛ, Ez = 0 µɛ, and yxy = 1470 prad. Determine the magnitude of the absolute maximum shear strain at the point. Answer: Absolute maximum shear strain = i prad
The thin-walled tube is used as a beam to support the uniformly distributed load of intensity wo. (a) Find the largest allowable value of wo based on the allowable stress in bending of 100 MPa. (b) Compute the corresponding maximum shear stress in the beam. 200 mm Wo +1.2 m 2.4 m 195 mm
es A state of stress at a point is the result of two separate actions; one produces the pure shear of 35 MPa shown in figure A and the other produces the pure shear of 30 MPa shown in figure B. 35 MPa -19.86 degrees Y -17.04 degrees -X Figure A Which of the following most nearly gives the principal planes for the combined state of stress? Select the correct response: 35 MPa 30° Figure B 30 MPa 30 MPa 4