Problem 1: The rigid beam is supported by a pin at C and an A-36 steel wire AB. If the wire has a diameter of 0.2 in., determine how much it stretches when a distributed load of w= 100lb/ft acts on the beam. The material remains elastic. (E = 29(10") ksi or 200 GPa) St 5ft с 30° B w 10 ft
Problem 3 The length of the 2 mm diameter steel wire CD has been adjusted so that with no load applied, a gap of 1.5 mm exists between the end B of the rigid beam ACB and a contact point E. Knowing that E= 200 GPa, determine the distance x where a 20 kg block should be placed on the beam in order to cause contact between B and E. 250 mm 20 kg B 1.5 mm 80 mm
A rigid beam ABCD is supported by a pin at B and two cables located at A and C. The cables have a 30 mm diameter and are made of steel with yield strength of 800 MPa and elastic modulus of 200 GPa. The beam is designed to resist a vertical load P applied at D equal to 200 kN. a) Find the forces developed in each cable b) Find the corresponding vertical displacement at point where the load is...
Question 2 A rigid bar is FEBC is supported by two steel deformable bars AB and DE, as shown in the figure. There is no strain in the vertical bars before the load P is applied. After the load P s applied, the normal strain in bar DE is 0.0006 mm/mm. Determine the normal strain in bar AB. 1.2 m 0.9 m E Rigid 1.5 m
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. Part A If each bar has a cross-sectional area of \(480 \mathrm{~mm}^{2}\), determine the maximum value of \(P\) if the allowable stress is \(\left(\sigma_{\text {allow }}\right)_{\text {st }}-190 \mathrm{MPa}\) far the steel and \(\left(\sigma_{\text {allow }}\right)_{\text {al }}-150 \mathrm{MPa}\) for the aluminum. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
Mechanics of material Question (Problem 2) The rigid beam ABC is supported by a pin at A and wires AB and CE. If the load P acting on the beam causes the end C to be displaced by 15 mm downward, determine the straub developed in wires CE and BD. Also, calculate the load P and the load carried by each wire if wire-200 GPa, dwire-0.1m. 2 m 3 m nm
1- A rigid rod ABC is hinged at A, and supported by a steel wire at B, and a brass wire at C. The rod ABC can rotate around the hinge at A. A force L = 13(k) is applied at the mid point of the part BC of the rigid rod. The temperature of both wires connected at B, and C is reduced by 40 °C. Both wires have a length L = 4 m and a cross-sectional area...
A beam CE is supported by a hinge at C and a link DF as shown. The link AF and DF are made of 2 - 25 mm x 60 mm steel. The link BF is made of 50 mm x 60 mm steel. The modulus of elasticity of steel is 200,000 MPa. In all connections (A, B, C, D, and F), 50-mm diameter pins are used. Determine, a) Reactions at A, B, and C. b) Average normal stresses in...
Q.1. (10 Marks) The rigid bar AB is supported by the pin-connected rod BC that has a diameter of 25 mm and is made of A-36 steel (E = 200 GPa). Determine the magnitude of w (kN/m) that is required to displace point B 3 mm downward, 3
b) if the steel cable's temperature is increased by 25°C, determine the reaction at D. note: answer the one in the picture as a). 2.15 The length of the 2-mm-diameter steel wire CD has been adjusted so that with no load applied, a gap of 1.5 mm exists between the end B of the rigid beam ACB and a contact point E. Knowing that E 200 CPa, determine where a 20-kg block should be placed on the beam in order...