A load of P = 98 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 85 GPa] rods, and a solid steel [E = 181 GPa] rod, as shown. The bronze rods (1) each have a diameter of 21 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁= 2.7 m and L₂ = 1.3 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection v of rigid bar ABC. (a) 0₁ i (1) MPa. (b) v = = MPa, 02 i = L2 (2) B P (1) L₁

A load of P = 98 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 85 GPa] rods, and a solid steel [E = 181 GPa] rod, as shown. The bronze rods (1) each have a diameter of 21 mm and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied; however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁= 2.7 m and L₂ = 1.3 m. Determine: (a) the normal stresses in the bronze and steel rods (01, 02). (b) the downward deflection v of rigid bar ABC. (a) 0₁ i (1) MPa. (b) v = = MPa, 02 i = L2 (2) B P (1) L₁

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

The lever must exert a force of P = 2200 lbs at B as shown. The lever lengths are a = 8 in. and b = 41 in. The allowable bending stress for the lever is 12100 psi. If the lever height h is to be 3.0 times the lever thickness t (i.e., h/t = 3.0), what is the minimum thickness t that can be used for the lever? Use equilibrium to calculate the magnitude of load Q.
The system lamp has a mass M and is supported by the six strings shown. The length of the chords and the horizontal distance ED are constant, point E remains fixed but the vertical distance ED can vary. a) If in the position shown the chord BC is horizontal, calculate the angle ? to maintain equilibrium, consider the mass M = 10 kg. b) Explain what happens to the magnitude of the stresses when point D moves.
The compound shaft consists of bronze and steel segments, both having 120-mm diameters. If the torque T causes a maximum shear stress of 100 MPa in the bronze segment, determine the angle of rotation (in degrees) of the free end. Use G = 83 GPa for steel and G = 35 GPa for bronze.
The springs BA and BC each have a stiffness of 500 N/m and an unstretched length of 3 m. Determine the horizontal force F applied to the cord which is attached to the small ring B so that the displacement of AB from thewall is d = 1.5 m.
To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a=4.5a=4.5 ftft, b=6.5b=6.5 ftft, and c=10.0c=10.0 ftft. The applied forces are F1=1.40F1=1.40 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=60∘θ=60∘ with the horizontal. Neglect the weight of the beam.(Figure 1) 1. Determine the vertical reaction at A. 2. Determine the horizontal component of the pin reaction at C. 3. Determine the vertical component of the pin reaction at C.
The ring has a mass of 0.5 kg and is resting on the surface of the table. In an effort to move the ring a normal force P from the finger is exerted on it. If this force is directed towards the ring’s center O as shown, determine its magnitude when the ring is on the verge of slipping at A. The coefficientof static friction at A is μA = 0.2 and at B, μB = 0.3.
The 30-mm-diameter A-36 steel rod is subjected to the loading shown. Determine the displacement of end A with respect to end C.
2.) Given the truss shown, determine the value of the horizontal reaction at B. C= 14 KN D=20 KN E = 54 KN F = 61 KN g= 7 m The answer must be in KN.
Homogeneous bar AB weighs 600 lb, calculate the reactions at supports A and B
For the beam shown in the figure, determine the reactions at the supports and draw the diagrams of the static quantities. Known values are the continuous load q = 5 [kN\m] and the length l = 1 [m].
The crane BC shown below lifts a load of W. Neglecting the weight of the crane. Determine the following: a.) The Tension at Point A in terms of W. b.) The Reaction at Point B in terms of W.
The hydraulic crane is used to lift the 1400-lb load. Determine the force in the hydraulic cylinder AB and the force in links AC and AD when the load is held in the position shown.