The triangular solid plate ABC is restrained by rod (1) at A and pin support at B. After applying the force P, the solid plate tilts around pin B and after closing the gap = 1.9 mm, pushes element (2). What is the strain in rod (1) if the internal strain in element (2) is E2 = -1020 μE? [L₁= 620 mm, L₂= 680 mm, a = 300 mm, b = 320 mm, gap= 1.9 mm]

The triangular solid plate ABC is restrained by rod (1) at A and pin support at B. After applying the force P, the solid plate tilts around pin B and after closing the gap = 1.9 mm, pushes element (2). What is the strain in rod (1) if the internal strain in element (2) is E2 = -1020 μE? [L₁= 620 mm, L₂= 680 mm, a = 300 mm, b = 320 mm, gap= 1.9 mm]

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

if u don't know the answer skip it but try to take another expert please don't take it complexity please answer to another expert
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'
4. Part AB of the bar has a solid circular cross section and part BC has a hollow circular cross section. The bar is fixed at both ends and a 150-in-kip axial torque is applied at B. Suppose that you want to decrease the weight of the bar by increasing the inside diameter of part B. The bar is made of material that will safely support a pure shear stress of 10 ksi. Based on this criterion, what is the largest safe value of the inside diameter? 4 in 2 in 150 in-kip A -14 in 7 in
When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.19 in. In segment (2), the normal strain is measured as 1,650 pin./in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. Answers: (a) 8₂ = (b) E₁ = 41 in. (2) 93 in. lin. uin./in. P
The lower ends of the three bars in the figure are the same level before the rigid homogeneous W=100 kN block is attached. The properties of the bars are shown in the table. The temperature of the bars is then increased by 80°C. The block is assumed to remain horizontal after all deformations have occured. a.) Which of the following most nearly gives the temperature rise to cause all of the applied loads to be supported by the steel rods? b.) Which of the following most nearly gives the stress developed in the bronze bar? c.) Which of the following most nearly gives the stress developed in the steel bar? 下上F Bronze Length, L Area, A Modulus elasticity, E Coefficient of 11.7x10C linear Steel 1.00 m 500m2 of 200 GPa 1.60 m 900 m 83 GPa Bronze Steel Steel 18x104 C A B expansion, a
If the supports at A and C are flexible and have a stiffness k, determine the support reactions at A and C. The material has a modulus of elasticity of E.
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
1. The stress condition on a two-dimensional infinitesimal material element is shown in Fig. 1 Fig. 1 60 MPа A 50 MPа В 30 MPа A. Describe the state of stress on: (i) Face A (ii) Face B B. State the sign convention for stress components on faces A and B in the: (i) Physical-space (ii) Mohr-Circle-space C. Draw the Mohr circle for the stress element in Fig. 1
(a) A steel structural member of length = 10 ft. is supported between two fixed supports so that it cannot expand. At 68°F, there is no stress in the member. (E = 30 x 106 psi and α = 6.5 x 10-6/°F) Calculate the stress (psi) in the member at 95°F. Stress (psi) = (b) If the same structural member is not supported between two fixed supports, calculate the total elongation of the member (in.) for the same temperature change. elongation (in.) =
Pin-connected rigid bars AB, BC, and CD are initially held in the positions shown by taut wires (1) and (2). The bar lengths are a = 20 ft and b = 15 ft. Joint C is given a horizontal displacement of 5.2 in. to the right. (Note that this displacement causes both joints B and C to move to the right and slightly downward.) What is the change in the average normal strain in wire (1) after the displacement?