A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1060 mm² and a length of L₁ = 1240 mm. Bar (2) has a cross-sectional area of A₂ = 2670 mm² and a length of L₂ = 630 mm. After two loads of P = 2.1 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B.

A rectangular polypropylene [E = 6,200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 1060 mm² and a length of L₁ = 1240 mm. Bar (2) has a cross-sectional area of A₂ = 2670 mm² and a length of L₂ = 630 mm. After two loads of P = 2.1 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.3P: A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of...

See similar textbooks

Similar questions

Two cables, each having a length i. of approximately 40 m, support a loaded -container of weight W (see figure). The cables, which have an effective cross-sectional area A = 48.0 mm2 and effective modulus of elasticity E = 160 GPa. are identical except that one cable is longer than the other when they are hanging separately and unloaded. The difference in lengths is d = 100 mm. The cables are made of steel having an elastoplastic stress-strain diagram with a r= 500 MPa. Assume that the weight ft' is initially zero and is slowly increased by the addition of material to the container. (a) Determine the weight Wythat lirsl produces yielding of the shorter cable. Also, determine the corresponding elongation 5 of the shorter cable. (b) Determine the weight Wpthat produces yielding of both cables. Also, determine the elongation Spof the shorter cable when the weight W just reaches the value Wp. (c) Construct a load-displacement diagram showing the weight W as ordinate and the elongation
Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A =0.03 in2 and modulus of elasticity E = 30 X 106 psi. When the bar is in a vertical position, the length of each wire is L = 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and wire C was 79.95 in. Find the tensile forces TBand Tc in the wires under the action of a force P = 700 lb acting at the upper end of the bar.
A rigid bar of weight W = 750 lb hangs from three equally spaced wires: two of steel and one of aluminum (see figure). The diameter of the wires is 1/8 in. Before they were loaded, all three wires had the same length. What temperature increase T in all three wires will result in the entire load being carried by the steel wires? (Assume Es= 30 × 106 psi, as= 6.5 × 10-6 /'F, and aa= 12 × 10-6F.)
A polyethylene bar with a diameter d,= 4.0 in. is placed inside steel lube with an inner diameter d2=4.01 in.(see figure). the polythylene bar is then conpressed by an axial force p. At what value of the bforce P will the space between the poltyethylene bar and the steel tube be closed ? for polythelene,assume E=200 ksi and v=0.4.
Two helical springs A and B with ground ends are in parallel. The wire diameter of the springs A and B are 12 mm and 7 mm, respectively, and the spring indices of A and B, are 5 and 9, respectively. Determine the load supported by spring A in N if the load supported by spring B is 440 N.
A wire 20 m long, weighing 0.8 N per m, and having a cross sectional area of 6.2 mm2, is suspended vertically from its upper end, E = 103 GPa. Calculate the total elongation if a load of 220 N is attached to its lower end. A)6.89 mm B)8.42 mm C)7.14 mm D)9.22 mm
A fiber reinfored rod contains 50 volume percent glass fiber ( E = 700 GPa) and 50 volume percent plastic ( E = 7 GPa) . The glass carries what part of a 5000 N tensile load ?
3.The length L-bar AB is suspended horizontally as shown by two vertical steel wires fixed on both ends. Ignore the magnetic gravity of the rod AB, and what is the distance x to the action point of the vertical load P to keep the rod level? (However, the steel wires have the same cross-sectional area, but the steel wires of the A-layer have the elastic coefficient E1, the length l1, and the steel wires of the B-layer E2 and the length l2). Write a formula for x.
2. The structure is connected by a pin joint at point A and by a cable of length L at points B and C, respectively.When load P is given at point D as shown below, what is the vertical displacement at point D?
Consider the bar in Figure 2, which has cross-sectional area A = 1·10−3 m2, modulus of elasticityE = 1·1011 N/m2, and length 1 m. The bar is fixed to a wall on its left hand side. Along the left halfof the bar, x=[0 m, 0.5 m], there is a constant distributed force of l(x) = 10 kN/m. Along the righthalf of the bar, x=[0.5 m, 1 m], there is a constant distributed force of l(x) = 20 kN/m. a) Given the finite element mesh in Figure 3, consisting of two elements of equal size L = 0.5 m,sketch the associated basis functions of the mesh, and write the approximation of the displacementfunction u(x) as an expansion of these basis functions. Use u1, u2 and u3 to denote the expansioncoefficients for each node. b) The general form of the element stiffness matrix system, with nodes indexed by i and j, is givenas shown in the image of eqaution 2, where F0 and f(1) denote boundary forces at positions x = 0 and x = 1, respectively. Form the two basis functions for element 2, and evaluate the right…
A disk of SBR elastomer 3.0 cm in diameter 0.5 cmthick is used as a cushioning surface between two steel rods ofthe same diameter, as shown below (not to scale). a. If the rods are brought together with an axial force of 100 N such that the SBR is compressed elastically between them, what is the thickness of the SBR under load? b. Under the same conditions as part (a), what is the greatest possible diameter of the SBR under load? c. If the SBR is bonded to the rods, how far can one rod be rotated with respect to the other before the SBR/rod interface fractures? Assume that the rods are essentially rigid and the distance between them remains constant. Please answer in degrees of rotation.
To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of 0.32 m will be used. It is desirable that the tension in the bar should not exceed 240 MPa and the maximum elongation should be 0.42 mm. What is the minimum rod diameter [m] in these conditions? Calculate. (For a metallic bar, take the elastic modulus as 220 GPa).