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Name Problem 1 (25 points) A rigid beam is supported by three posts...
1) The rigid block below weighs 80 kips is supported by steel posts (1) and (3)...
1) The rigid block below weighs 80 kips is supported by steel posts (1) and (3) and by brass post (2). The elastic modulus of steel is 29,000 ksi and its coefficient of thermal expansion is 6.60.10 €/°F) The elastic modulus of brass is 14,600 ksi and its coefficient of thermal expansion is 9.80-10-6/°F. All 3 posts have the same original length and cross-sectional area of 8 in? a) The brass post (2) is heated by 20 °F and the...
A rigid beam ABCD is supported by a pin at B and two cables located at...
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...
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.
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. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
Problem 4.49 The rigid bar in (Figure 1) is pinned at A and supported by two...
Problem 4.49 The rigid bar in (Figure 1) is pinned at A and supported by two aluminum rods, each having a diameter of 1.1 in., a modulus of elasticity Eal 10(103) ksi, and yield stress of (oy),1-38 ksi. Part A If the bar is initially vertical, determine the displacement of the end B when the force of 20 kip is applied Express your answer to three significant figures and include appropriate units. 6 0063 Figure < 1011 20 kip Submit...
Problem 1: The rigid beam is supported by a pin at C and an A-36 steel...
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
solve in detail Problem Statement Consider a simply supported beam with length L=1m, width w=25mm and...
solve in detail
Problem Statement Consider a simply supported beam with length L=1m, width w=25mm and height h. The beam has a mass m=10kg hanging from it as shown in Figure 1. The mass is located at the midpoint of the beam. Figure 1 Schematic of a simply supported beam with mass m attached to it at the midpoint. The deflection of the beam at the midpoint is given by the equation below: dmg/? 48E1 where g=9.81 m/s? is the...
Mechanics of material Question (Problem 2) The rigid beam ABC is supported by a pin at...
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. (25 points) A simply supported beam of diameter D, length L, and modulus of elasticity E (units of N/m2)is subjected to a fluid crossflow of velocity V, density p and visosity . Its center deflect...
1. (25 points) A simply supported beam of diameter D, length L, and modulus of elasticity E (units of N/m2)is subjected to a fluid crossflow of velocity V, density p and visosity . Its center deflection δ is assumed to be a function of all these variables. Using p, L and V as the repeating variables for Buckingham's π theorem, determine the dimension!cs parameters that are involved in this relation singp l an
1. (25 points) A simply supported beam...
The rigid beam BD is supported by a smooth pin B, two circular rods at points...
The rigid beam BD is supported by a smooth pin B, two circular rods at points C and D and is subjected to two concentrated loads as illustrated below. Neglect the weight of the rigid beam and assume that when W= 0 the rigid beam is in the horizontal position and the rods are stress-free. Assume small rotations 2) (1 Assume that h 119 mm and b 112 mm Use the compatibility equations (geometry of deformation) to obtain the ratio...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC,...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
1) The rigid block below weighs 80 kips is supported by steel posts (1) and (3) and by brass post (2). The elastic modulus of steel is 29,000 ksi and its coefficient of thermal expansion is 6.60.10 €/°F) The elastic modulus of brass is 14,600 ksi and its coefficient of thermal expansion is 9.80-10-6/°F. All 3 posts have the same original length and cross-sectional area of 8 in? a) The brass post (2) is heated by 20 °F and the...
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...
Problem 4.49 The rigid bar in (Figure 1) is pinned at A and supported by two aluminum rods, each having a diameter of 1.1 in., a modulus of elasticity Eal 10(103) ksi, and yield stress of (oy),1-38 ksi. Part A If the bar is initially vertical, determine the displacement of the end B when the force of 20 kip is applied Express your answer to three significant figures and include appropriate units. 6 0063 Figure < 1011 20 kip Submit...
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
solve in detail
Problem Statement Consider a simply supported beam with length L=1m, width w=25mm and height h. The beam has a mass m=10kg hanging from it as shown in Figure 1. The mass is located at the midpoint of the beam. Figure 1 Schematic of a simply supported beam with mass m attached to it at the midpoint. The deflection of the beam at the midpoint is given by the equation below: dmg/? 48E1 where g=9.81 m/s? is the...
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. (25 points) A simply supported beam of diameter D, length L, and modulus of elasticity E (units of N/m2)is subjected to a fluid crossflow of velocity V, density p and visosity . Its center deflection δ is assumed to be a function of all these variables. Using p, L and V as the repeating variables for Buckingham's π theorem, determine the dimension!cs parameters that are involved in this relation singp l an
1. (25 points) A simply supported beam...
The rigid beam BD is supported by a smooth pin B, two circular rods at points C and D and is subjected to two concentrated loads as illustrated below. Neglect the weight of the rigid beam and assume that when W= 0 the rigid beam is in the horizontal position and the rods are stress-free. Assume small rotations 2) (1 Assume that h 119 mm and b 112 mm Use the compatibility equations (geometry of deformation) to obtain the ratio...
Problem 3 Statically Indeterminate Axially Loaded Members (25pts) The assembly shown consists of rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 18 GPa. Determine the vertical deflection of joint D relative to its initial position after the 30 kN load is applied. 2.4 m 1.8 m Rigid bar | B |(2) (3) || 3.0 m 3.6 m A = 500 mm? Az= 500...
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