Shown in the figures (1) and (2) are trusses containing members that are made of same materials (Modulus of Elasticity E) and with same cross-sectional area A. When the load P is applied, which of the following statement about the strain energy of the entire system is CORRECT? Strain energy U(1) > U(2) O Strain energy U(1) < U(2) Strain energy U(1) = U(2) O Impossible to determine 30° D (1) A P С B 30° D 4 (2) A P ic

Shown in the figures (1) and (2) are trusses containing members that are made of same materials (Modulus of Elasticity E) and with same cross-sectional area A. When the load P is applied, which of the following statement about the strain energy of the entire system is CORRECT? Strain energy U(1) > U(2) O Strain energy U(1) < U(2) Strain energy U(1) = U(2) O Impossible to determine 30° D (1) A P С B 30° D 4 (2) A P ic

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.1P: The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, /...

See similar textbooks

Similar questions

The shear stresses t in a rectangular beam arc given by Eq. (5-43): in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32). By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.
A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
If Poisson's ratio of a material is 0.5, then the elastic modulus for the material is a)three times its shear modulus b)four times its shear modulus c)equal to its shear modulus d)indeterminate
The vertical steel rod has a constant diameter of 32 mm and a length of 400 mm. is hanged from a rigid fixing. A mass is gently placed onto a collar which is attached to the lower end of the rod. The strain energy stored in the steel is 0.400 x 10-³. If Esteet = 209 GPa, 1.1 Determine the gradually applied load and magnitude of the mass. 1.2 Calculate the maximum stress in the rod when gradually applied. 1.3 Determine the magnitude of the mass when the mass is suddenly applied. 1.4 Calculate the extension of the rod when suddenly applied.
Determine the ratio of the shear modulus to the modulus of elasticity of material if the Poisson's ratio is 0.25
A steel bar of 3 m long and 2500 mm2 in area hangs vertically, which is securely fixed on a collar at its lower end . If a weight of 25 KN falls on the collar from the height of 10 mm , determine the stress induced in the bar. What will be the strain energy stored in the bar? Take E=200 GPa.
The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and ismade from a homogeneous material. The length (L) of the rod is 1.75 m andYoung’s Modulus for the material (E) is 250 GPa. When the rod is placed undertension it experiences deformation and a stress (?) of 650 MPa. Calculate thefollowing:(i) Strain energy (U) to 2 decimal places in Joules.(ii) Strain energy per unit volume (U/V) in J/m3.(iii) The change in length ∆L to 2 decimal places in mm.(iv) The strain (?) due to deformation to 2 significant figures
If the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ - Δs Δs′ b instead of in reference to the original length, Eq. 2–2, show that the difference in these strains is represented as a second-order term, namely, P - P= = P P′.
The ring, with dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. The thickness r,-r; is small compared to r; (a) Determine the axial force F in the ring in terms of p, w and r;. Hint: Consider a FBD by cutting the ring+membrane in two. (b) Determine the hoop stress in the ring. (c) Determine the hoop strain in the ring. The modulus of elasticity for the ring is E. (d) Relate the hoop strain to the change in the inner radius of the ring after this pressure is applied, and use this to get the change in the inner radius in terms of p, E, w, r, and ri- (PLEASE ANSWER ASAP AND CORRECTLY)!
A short post constructed from a hollow circular tube of aluminum supports a compressive load of 54 kips. The inner and outer diameters of the tube are d1=3.6 in. and d2=5.0 in., respectively, and its length is 40 in. The shortening of the post due to the load is measured as 0.022 in. Determine the compressive stress and strain in the post. (Disregard the weight of the post itself, and assume that the post does not buckle under the load.) 5
A bar has a length of 200 mm and cross-sectional area of 7500 mm2. Determine the modulus ofelasticity of the material if it is subjected to an axial tensile load of 50 kN and stretches 0.075 mm.The material has linear-elastic behavior.
The elastic portion of the tension stress–strain diagram for an aluminum alloy is shown in the figure. The specimen used for the test has a gage length of 2 in. and a diameter of 0.5 in. If the applied load is 10 kip, determine the new diameter of the specimen. The shear modulus is Gal = 3.811032 ksi.