he steel wire AE has A = 22.5 mm and E = 200 GPa. Aluminum block CD has A %3D = 70 GPa. Under the applied load (P) determine the vertical deflection at A.
Q: • If the hanger were not attached at B, what would be the deflection at point B • With the hanger…
A: Solution : Given data : Cross sectional area ( A ) = 3 in2 Moment of inertia…
Q: Q1. The steel rod AC and brass rod CD are rigidly joined at C. The loads acting are P=60 kN and Q=80…
A:
Q: BP4: A simply supported beam of constant El and length L is supporting a distributed load omega w…
A: The given beam is as shown below, To determine deflection at C by Castilagino's method we will…
Q: Q 4: Using Castigliano's method for Determining the vertical deflection at A for the lamp post…
A: NOTE:- here axial deflection in portion BC is very small so it is neglected. For solution refer…
Q: A simply supported beam having constant EI throughout its geometry is loaded with 3P and P at point…
A: When a beam is subjected to a load, it will face reaction forces at the support and it tends to…
Q: The solid 26-mm-diameter steel [E = 180 GPa] shaft supports two belt pulleys. Assume that the…
A:
Q: Check Deflection condition for the following loading condition of the Steel beam in accordance with…
A: Given data: The uniform distributed imposed load is wi = 5 kN/m. The length of the beam is L = 10…
Q: Use Castigliano's Theorem to determine the reaction force at B and the deflection at A in terms of…
A: Consider an imaginary load W at a distance x from the free end A. The moment at a distance x :…
Q: Use the virtual work method to determine the vertical deflection at joint C of the frame shown. 30…
A: Given data: EI= constant Modulus of elasticity (E)=200 GPa Moment of inertia (I)=8000×106 mm4
Q: Q 04: A jib crane consists of a rigid beam BC supported by an elastic rod AB and hinged at C.…
A:
Q: A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.85 in. and a wall thickness…
A:
Q: A B C P. F ЗЕ For the deflection at C to be zero, the ratio PIF is
A:
Q: - A rectangular plate simply supported along its edges and subjected to a uniform of intensity po:…
A: Givenuniform load =Pob=2aw=0.01013
Q: Question 4 Members of the truss shown in Figure 4 consists of sections of Aluminium pipe with…
A:
Q: SITUATION: Given a 4 m cantilever beam carries a concentrated load Pat the free end. If the beam is…
A: given; length of cantilever beam(L)=4mload acting free end=Pfor…
Q: A spring wire with diameter of 6 mm in a circular arc shape was initially set on the horizontal…
A: Given values, Radius of the arc(R)=80mm, angle of arc(θ)=60 deg, Modulus of Elasticity(E)=200GPa,…
Q: Using Castigliano’s theorem, determine horizontal and vertical components of deflection at point C.…
A: Given dataP=1000NEA=2×106N
Q: The rigid bar AD is supported by pin connection at point F and an elastic link AB. The link AB has…
A: Given data: Cross-sectional area of link AB, AAB = 20 mm2. The magnitude of load applied at point…
Q: 2. Link BD is made of brass ( E = 103 GPa ) and has a cross-sectional area of 258 mm?. Link CE is…
A:
Q: P-N Q1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made of steel…
A:
Q: P C 314 B
A:
Q: 2. Determine the followings using any method i) Elastic curve equation ii) Deflection at B iii)…
A: given; lets take reaction force at A=RAlets take reaction force at B=RBAC=aCD=L-2aDB=aAB=L
Q: Using any of the classical methods (Double-Integration or Area-Moment Method), identify the…
A:
Q: Before the load P was applied, a gap, ôo existed between the cantilever beam AC and the support at…
A: Given: The load is applied is P. The modulus of elasticity is E=200 GPa. The deflection at point B…
Q: The rigid bar AD is supported by pin connection at point F and an elastic link AB. The link AB has…
A: Given data: Cross-section area of link AB, A = 20 mm2. From the property of engineering materials,…
Q: The rigid bar AD is supported by pin connection at point F and an elastic link AB. The link AB has…
A: Please see the attached detailed solution.
Q: The tube is used as a 16 ft long column. Consider E = 29,000 ksi and allowable stress (oy) = 20 ksi.…
A: Given, Young modulus, E=29000ksiOutside diameter, do=5inInside diameter, di=4inEccentricity,…
Q: 2. By using Three Moment Equation, determine the deflection 3mto the left of roller support. 30 kN/m…
A:
Q: e the elastic curve for the cantilevered n using the x coordinate. Specify the d maximum deflection.…
A:
Q: 1. Determine the followings i) Elastic curve equation ii) Deflection at B ii) Reaction at B
A:
Q: 20 kN 10 kN.m 4 m 2 m
A:
Q: BP3: A simply supported beam of constant El and length L is supporting a distributed load omega w…
A: A Simply supported beam a very simple structures which possess only two supports, one at each end.…
Q: D
A:
Q: ..s) The beam shown is fixed at A and to be supported by rod BC at B. The beam carries a uniform…
A: we have to calculate the deflection without rod
Q: The steel (E 200 GPå, I = 351 x 10° mm*) beam shown below has a pin support at A, a roller support…
A: RA+RC=55×10=550 KWM=-(55×10×5)+(RC×7.2)=0Rc×7.2=2750RC=382 KN
Q: P-30 IN Q1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made of steel…
A:
Q: The beam shown in Fig. a supports the triangular distributed loading. Determine its maximum…
A: The beam is symmetry so only half beam is consider 0≤x≤L/2 The equation of distributed loading is…
Q: ind the deflection at D relative to point A of the copper bar. Assume the material behaves…
A: Given:E=15*103ksi
Q: 4) If the beam of question 2) is a cantilever of a W18 x 130 steel wide-flange with the support at…
A:
Q: b) The beam of length L is embedded at its left end and simply supported at its right end, and a…
A:
Q: Q2: A simply supported beam as shown below. Determine the deflection at C and D. Take E = 210 GN/m?…
A:
Q: A Given the FLEXURAL RIGIDITY=6000 KN.m^2. The :deflection value at point A is 50 kN B 9m Maximum…
A: Given data as per the question Flexural rigidity =6000 KN.m2 Load applied on free end =50 KN Length…
Q: (Situation no. 2) For the beam supporting the loads shown with E= 200000 Mpa and I=1x10^8 mm^4. (4)…
A: Given data, Young's modulus, E = 2×105 MPa = 2×105×106 Pa Moment of inertia, I = 1×108 mm4 =…
Q: 2. Determine deflection at B. [E= 200 GPa, l= 129 x 10 mm, L= 4m, P = 60 kN, w = 40 kN/m]
A:
Q: A concentrated load Q= 94.18N is applied to the rigid cantilever frame as shown in fig. The vertical…
A: Given, Concentrated load, Q=94.18 N EI=3×108 N.m2
Q: Exercise: Using the virtual work method. Find the deflection at point C. E= 200 Gpa, I=70x10°mm 50…
A:
Q: 2. The rigid bar is supported by the pin-connected rod CB that has a cross-sectional area of 14 mm²…
A:
Q: Qq Determine the deflection at point C for the beam shown in Figure 1. Use E= 1.2 MN.m². 15 kN 12…
A:
Q: Bronze [E= 100 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of…
A:
Step by step
Solved in 2 steps with 2 images
- An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.A brass bar of a length L = 0.4 m is loaded at end B by force P = 10 kN with an eccentricity e = 6mm. The bar has a rectangular cross section with an h/b ratio of 1.5. Find the dimensions of the bar if the deflection at the end is limited to 4 mm. Assume that E = 110 GPa.Question 4: Use the moment-area method to determine the slope and deflection at point B for the structure shown in Figure 4 where CD k.ft = 108 k.ft and AB kips = 18 kips.(E = 10 000 ksi, IAB = 1 440 in4, IBC = 720 in4)
- Using Castigliano’s theorem, determine horizontal and vertical components of deflection at point C. Given: P=1000 N EA= 2*10^6 NAn axial member consisting of two polymer bars is supported at C. Bar (1) has a cross sectional area of 2720 mm and an elastic modulus of 28 GPa. Bar (2) has a cross-sectional area of 21,560 mm and an elastic modulus of 16.5 GPa. Determine the deflection of point A relative to support C.Bronze [E= 100 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of 300 mm2 and link (2) has a cross-sectional area of 450 mm 2. For an applied load of P= 70 kN, determine the rigid beam deflection at point B.
- A long, slender structural aluminum [E = 73 GPa] flanged shape is used as a L = 5.0-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that bf = 110 mm, d = 128 mm, tf = 8 mm, and tw = 4 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.7 is required. Consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. 1) Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area.The link CE (Diameter D=12mm) and DF (Diameter D=10 mm) areconnected to rigid link ABCD as shown in the figure. The links CE and DFare made of E=200 GPa steel.a. Find the force at each link (CE and DF)b. Find the deflection at point A.Question 2: Determine the deflection of D with respect to A of the rod shown. Note: Section AC is steel and has a E = 29 x 10^6 psi. Section CD is brass and has E = 14.6 x 10^6 psi.
- Determine the maximum deflection of a simply supported beam carrying a hydraulic cylinder in a machine used to press bushings into a casting as shown in the figure. The force exerted during the pressing operation in 45 kN. The beam is rectangular, 35 mm thick and 150 mm high, and made of steel (E = 207 Gpa).In the figure shown, each of the four vertical links connecting the two rigid horizontal members is made of aluminum (E = 70 GPa) and has a uniform rectangular cross section of 10 mm x 40 mm. For the loading shown, determine the deflection and the direction of (a) point E, (b) point F, (c) point G. Show FBD and complete process.According to the loading situation given in the figure, find (a) the slope at A, (b) the deflection at C (Figure 2).