Find the force in each member of the truss by using: 1- The method of consistent deformations. 2- Castigliano's second method. Take the member AB as a redundant. The stiffness EA is constant. 1,2 m ID 0.9 m 10 kN 0.9 m 92%11:11e H.W.2.pdfTheory of Structures II/3d Class / CE Dept./ 2020 – 2021Homework #2Find the force in each member of the truss by using:1- The method of consistent deformations.2- Castiglianos second method.Take the member AB as a redundant. The stiffness EA is constant.1.2 m0.9 mB10 kN0.9 mSubmission due date: 5 June 2021

Solution; Take AB as an indeterminate member lBC=1.22+0.92lBC=1.5m

Find the force in each member of the truss by using: 1- The method of consistent deformations. 2- Castigliano's second method. Take the member AB as a redundant. The stiffness EA is constant. 1,2 m ID 0.9 m 10 kN 0.9 m

Find the force in each member of the truss by using: 1- The method of consistent deformations. 2- Castigliano's second method. Take the member AB as a redundant. The stiffness EA is constant. 1,2 m ID 0.9 m 10 kN 0.9 m

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

pls answer, I'll rate. Thank you so much. Analyze the truss shown using the Method of consistent deformation. There is an additional horizontal load at joint E with a magnitude of 50 kN going to the left. Determine the reaction at D in kN. For reactions that is downward and going to the left.
A beam has a uniform dead load and live load has a fixed support at both ends. If the beam properties are given below, what is the stress at bottom of the beam section at the midspan. (MPa) Properties: Beam width = 270 mmBeam height = 375 mmWLL = 14.38 kN/mWDL = 18.41 kN/mSpan of the beam = 8 mPrestressing force = 481 kNeccentricity = 103 mm
The truss is made from Guijo. The truss supports a vertical load P= 20 KN at C. Given the following allowable stresses for Grade of Wood: Compression parallel to grain= 13.2 MPa Compressionp to grain=4.3 MPa Parallel to Grain= 2.32MPa. 1. What is the axial stress of member AC? 2. What is the maximum value of x?
1. Minimum design dead load for a 6mm floor fill (sand). a 0.015 kPa b. 0.023 kPaC. 0.0017 kPa D. 00.90 kPa2.The performance characteristics commonly of interest in the design of structures are the following except:a. Stresses B. Deflectionsc. Support Reactions d. Loading Condition 3. These structures are composed of straight members connected at their ends by hinged connections to form a stable configurationa.Rigid Frames b. Beams c. TrussesD. Slabs4. It is the portion of the slab area whose load is carried by a particular member.a. One-way systemb. Two-way system C.Tributary width d. Tributary area5. These are the actions of other bodies on the structure under consideration.a. Internal Forces b. External Forces C.Support Reactions d. Couple Moment
PLS ANSWER ASAP Use Method of Consistent of Consistent Deformation to solve the horizontal reaction at D in kN of the truss system below. Assume A = 1200 mm2, E = 200 GPa. a = 49.7 kN b = 16.3 kN. Enter absolute value only. ANSWER IN 3 DECIMAL PLACES
Two wires support a weight W. The stresses in the wires AB and AC are not to exceed 133 MPa and 195 MPa, respectively. The cross sectional area of the two wires are 492 mm² for AB and 214 mm² for AC. Wire AB is inclined 27-degrees with the horizontal and wire AC is inclined 47-degrees with the horizontal. Give the largest weight W (kN) that can be supported by the wires?
A simple pin-connected truss is loaded and supported as shown. The truss is constructed from three aluminum members, each having a cross-sectional area of A = 820 mm2. Assume a = 1.9 m, b = 9.2 m, and c = 2.9 m. If P = 45 kN and Q = 75 kN, determine the normal stress in each member. Answers:σAB = MPa (C)σBC = MPa (T)σAC = MPa (T)
The wooden members in the simple truss below have the following capacity: Shear parallel to grain = 1 MPa, Compression parallel to Grain = 11MPa, Compression perpendicular to Grain = 5 MPa 1. Find the minimum safe x. a. 73 mm b. 160 mm c. 148 mm d. 112 mm 2. Find the minimum safe y. a. 15.97 mm b. 19.45 mm c. 9.14 mm d. 18.28 mm 3. Determine the stress in member AC. a. 1.13 MPa b. 1.258 MPa c. 1.224 MPa d. 1.04 MPa
The shaft is made from a solid steel section AB and a tubular portion made of steel having a brass core. It is fixed at a rigid support at A and a torque T=50lb-ft is applied at C. Gsteel= 11,500 ksi Gbrass= 5,600 ksi What is the angle of twist at C? What is the maximum shear stress in the steel and brass? What is the maximum shear strain in the steel and brass?
A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 2.3 in.?. Assume a = 3.75 ft and b = 4.50 ft. If the normal stress in each member must not exceed 50 ksi, determine the maximum load Pmax that may be supported by the structure.
QUESTION: Consider the truss shown below. Determine the reaction (do not include sign) at the roller support if a vertical downward load of 12 kN is applied at joint A. Express your answers to the nearest whole number.
An aluminum alloy pipe AB [EAB = 12,000 ksi]with a cross-sectional area of AAB = 6.40 in.2 isconnected at flange B to a steel pipe [EBC =50,000 ksi] with a cross-sectional area of ABC= 7.60 in.2. The assembly is connected to rigidsupports at A and C.[LAB = 86 in.; LBC = 146 in.; PB = 177 kips ⇾]Determine the normal stresses in aluminumpipe AB and steel pipe BC.