.Two bodies of mass m₁ = 2 102 kg and m₂ = 4 102 kg are connectedas in the figure; the plane is inclined by 37° and is smooth, the spring=has an elastic constant k = 3.84 N/m and a rest length xo = 0.10 m. At theinstant = 0 the body m₁ is d = 0.08 m from O and is at rest; the body m2is at a distance h 0.20 m from the ground.=Determine the laws of motion of the two bodies and the maximum andminimum value of the tension in the thread.0000m₁m₂

Here's a breakdown of the forces acting on each body and the steps to solve for the tensions and…

Answered: . Two bodies of mass m₁ = 2 102 kg and…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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3. A rigid bar is supported by two rods which are made of different materials. Rod A is a steel rod which has a modulus of elasticity of 29 000 ksi and Rod B is made of bronze which has a modulus of elasticity of 14 500 ksi. If the bar is horizontal before applying the load P, find the distance x that locates the position where P must applied so that the bar will remain horizontal. Neglect the weight of the bar AB. L= 3 ft A 0.2 in.? L= 2 ft A = 0.4 in.2 A 10 ft
Question 3 T/2 A 1200 Nm A homogeneous steel shaft (G=83GPA) loaded as shown in the above Figure. Assuming T = 300 N-m, determine the torsional force in N-m in Member AB. Note: Include sign (+/-), assuming the direction of Torsion (T) at D is positive Given: AB: Length = 1.75m, Diameter = 75mm BC: Length = 1.50m, Diameter = 60mm AB: Length = 1.00m, Diameter = 40mm
1. The uniform 2200-lb bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 0.165 in2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 10.6 x 106 psi for aluminum. A 6 ft 10 ft
In the figure, the rigid AD bar is held vertically by two elastic rods articulated at the ends, which are horizontal at points B and C. Under the effect of a horizontal load of 120 kN of the system; a) Calculate the forces to occur in the elastic bars, b) The displacement of the top point (A) of the rigid bar. Note: (EA = 108N)
125 kN 125 kN (1) 4.2 m 175 kN 175 kN 5.0 m A The roof and second floor of a building are supported by the column shown. The structural steel (E=200 GPa) column has a constant cross-sectional area of 5000 mm?. Determine the following: The force between BC (FBc) is equal to in kN: The force between AB (FAB) is equal to in kN: The deflection of Joint C relative to Joint B is equal to in mm: The deflection of Joint A relative to Joint B is equal to in mm: The total deflection of Joint C relative to foundation A in mm: B.
Figure Q2(a) shows a cantilever beam that is subjected to a pure bending moment M = 3kN.m about the neutral axis (N.A) and the cross-section of a beam is shown in Figure Q2(b). Determine: (a) The moment of inertia about the neutral axis, InA. (b) The bending stress acting at point B and state whether it is in tension or compression. (c) The bending stress acting at point C (d) The maximum bending stress in the beam. M Figure Q2 (a) 20 mm B 150 mm C N 20 mm 150 mm 20 mm 250 mm Figure Q2 (b)
2. For the beams shown in figures, determine the displacements and the slopes at the nodes, the forces in each element, and the reactions. I kip 4 20 ft 3 m L 2 W L B 2 20 ft 10 kN 20 kN m W 17 L 3 m B E = 30 x 106 psi I = 100 in C E = 210 GPa /= 4 x 104 m²
A rigid bar AB is hinged at A and is supported by a rod CD at C. The rod is pin connected at D, as shown. What is the displacement of the loaded end B of the bar in mm? Neglect deflections of the bar due to bending. Use E=200 GPa. = 2.6 m a b = 2.1 m c = 1.2 m w = 62 kN с 36 mme B
The given overhanging beam is loaded as shown. Use E = 1.5 x 10^6 psi and I = 40 in^4 240 Ib/ft 1800 lb-ft A JE + 6 ft + 6 ft + 6 ft →+ 6 ft → 6 ft 6 ft a.) Determine the value of constant of integration C2 (in Ib-ft^2). b.) Determine the value of constant of integration C1 (in Ib-ft^2). c.) Write the slope equation of the elastic curve (in Ib-ft^2). d.) Write the deflection equation of the elastic curve (in Ib-ft^3). e.) Determine the location of the maximum deflection from the left support (in feet). f.) Determine the maximum deflection (in inches). g.) Calculate the slope of the elastic curve over the right support. h.) Calculate the deflection (in inches) at the right end of the overhanging beam. B.
Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation which contains that force as the only unknown. The forces are positive if in tension, negative if in compression. 27 5.0 m 5.0 m B 5.0 m 5.0 m F C 3.1 m E 21.5 KN 5.0 m D
2. A 200-kg mass M is attached to a pin at C as shown. Determine the forces acting in members AC and BC.
3.) Rigid bar BC is supported by aluminum rod (1) and bronze rod (2), as shown in the figure. If the maximum force the aluminum rod can take is 30040 N and the maximum force the bronze can take is 31190 N, determine the maximum force P that can be applied to the rigid bar BC to remain in equilibrium. Assume that L = 1100 mm and a = 500 mm. [Answer: P = 57.2 kN] Hint: You should effectively solve for 2 different values of P by imposing one restriction at a time and solving for P based on each one. Then determine which of the two possibilities for P would actually satisfy both restrictions. A (1) (2) B C

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