7) A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of AB and BC beams are 2El and El, respectively. If the axial rigidity of the BD bar is EA, Determine the reaction forces at the point 4 by using, a) Superposition method b) Mohr method c) and show whether the results are overlap or not. (1

7) A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of AB and BC beams are 2El and El, respectively. If the axial rigidity of the BD bar is EA, Determine the reaction forces at the point 4 by using, a) Superposition method b) Mohr method c) and show whether the results are overlap or not. (1

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the force in each member of the truss. 1m D 2m 3 m 5 kN B

Q: The truss shown in Figure 1 is constructed such that members AB and BC are of equal length.…

A: A Truss ABC is given with 2 hinged supports at A and C, a point load of magnitude 12 kN applied at B…

Q: For the propped cantilever beam in the figure, show that the moment at the fixed end, MB = Mo/2 and…

A: The propped cantilever beam is to be analyzed for the resulting moment at the fixed end and also the…

Q: A rigid rod AB is attached to a hinge at 4 and to a spring with stiffness Eat D. The critical…

A: Rigid rod AB attached to spring at D

Q: The simply supported beam is built-up from three boards by nailing them together as shown. The wood…

Q: The 560-kg uniform I-beam supports the load shown. Determine the reactions at the supports. Answers:…

Q: The ball is truncated at its ends and is used to support the bearing load P. If the modulus of…

Q: Determine the slope at point B of the beam shown in Fig a. EI is constant.

A: We can use superposition method to find the slope at point B.

Q: The rigid bar ABC shown is hinged at A and supported by a steel rod at B. Determine the load P that…

Q: All truss members in the truss shown are made of the same material and are of the same…

A: Solution:

Q: The wood beam has a rectangular cross section in the proportion shown. The allowable bending stress…

A: Option 4 is the correct

Q: 70 KN 4 m D 40 KN 4 m B

A: Solution Calculate the degree of static indeterminacy DSI=m+re-2jDSI=8+3-2*5DSI=1

Q: A cantilever beam of span 'L' and uniform flexural rigidity 'Er is loaded with an upward force 'W'…

Q: Problem 6: For the beam and loading shown below, derive an expression for the reaction force at B.…

A: Given :

Q: 5. [AB,0A] Use conjugate beam method. (EI is constant) 22 Mo B

Q: Determine the force in member CD of the truss shown in the figure. Circled values are areas in…

Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

7) A variable cross-sectional beam is pinned from the point B by BD bar as shown. Flexural rigidity of
AB and BC beams are 2El and El, respectively. If the axial rigidity of the BD bar is EA, Determine
the reaction forces at the point A by using,
a) Superposition method
b) Mohr method
c) and show whether the results are overlap or not.
(1= E).
AL
D
EA
L
C EI
E21
L
Figure-7

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Find the force in truss DE. T = 390 N, x = 1.8 m. (Note: if the force in the truss is in tension, please enter a positive value; if it is in compression, please enter a negative value.) A F
Part A and B please
The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 519 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 619 mm?. For the 41 kN force shown, determine the deflection of B (mm) *deflection should have a negative sign if compression and positive if tension. Also, your final answer should have two decimal places 04 m 0.3 m E 0.4 m 0.2 m
Q3 The truss ABC shown in the figure supports a horizontal load P-900 lb and a vertical load P2= 300 lb. Both bars have cross-sectional area A-2.4 in. and are made of steel with E-20 X 10 psi. (a) Determine the strain energy U, of the truss when the load P, acts alone (P2 -0). (b) Determine the strain energy U2 when the load P2 acts alone (P 0). (c) Determine the strain energy Uz when both loads act simultaneously. 30 B P =900 lb P2 300 lb 40 in.
a square box beam is made of two 30X120-mm planks and two 30X180-mm planks nailed together as shown. Knowing that the spacing between the nails is s=23 mm and that the vertical shear in the beam is V=1580N, determine (a) the shearing force in each nail, (b) the maximum shearing stress in the beam 30 mm 120 mm 30 mm 180 mm
The rigid bar AB of negligible weight is supported by a pin at O. When the two steel rods are attached to the ends of the bar, there is a gap A = 4 mm between the lower end of the left rod and its pin support at C. %3D Compute the stress in the left rod after its lower end is attached to the support. The cross-sectional areas are 300 mm2 for rod AC and 250 mm? for rod BD. Use E = 200 GPa for steel. A В 0.75 m 1.5 m > 2 m D
I need the answer as soon as possible
The bar ABC shown below is loaded by a force P acting at the end C and by a force Q acting at the midpoint B. The bar has constant axial rigidity EA (20pts) 0) 0) Determine the strain energy Ul of the bar when the force Pacts alone (Q Determine the strain energy U2 of the bar when the force Q acts alone (P Determine the strain energy Us of the bar when the forces P and Q act simultaneously upon the bar. b. c. Use the following values to solve the problem: P=30kPa Q=75 kPa E = 130 GPa L=10 m Bar's cross section 450mm 450mm
14. A pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 70 GPa] with a cross-sectional area of A₁ = 2,400 mm². Bar (2) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A2 = 6,000 mm². All bars are unstressed before the load P is applied. If a load of P = 535 kN is applied at B, determine the normal force in bar (1). A) B) D) E) 2.9 m 0.8 m 391 kN 325 kN 301 kN 247 kN 181 kN B 1.5 m P = 535 KN (2) C 3.3 m 1.2 m F₁ K 0.8m D + 535 1.2m
A laminated plastic beam of square cross section is built up by gluing together three strips, each 20 mm x 60 mm in cross section (see figure). The beam has a total weight of 4.6 N and is simply supported with span length L = 460 mm. Considering the weight of the beam (q) calculate the maximum permissible CCW moment M that may be placed at the right support. (a) If the allowable shear stress in the glued joints is 0.4 MPa. Round to the nearest tenth. Mmax = __ N • m (b) If the allowable bending stress in the plastic is 8 MPa. Round to the nearest hundredth. Mmax = __ N • m
A beam AB is fixed at both ends and carries a uniformly distributed load of intensity p per unit length run over its entire length. Due to some constructional defects, the end B is now reduced to a simple support. The percentage increase in bending moment at A is
A tapered bar AB of solid circular cross section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dA and de, respectively. Determine the elongation of the bar due to the load P, assuming that the angle of taper is small P da A B T dв 1 m