Q4 A frame ABCD as shown in Fig. Q4 is loaded with a uniformly distributed load and a point load. The Young's modulus is 200 GPa, and the second moment of area of all frame members is 250x105 mm². (1) State whether the frame is determinate or indeterminate. If indeterminate, also state the degree of indeterminacy. (2) Determine the support reactions at A and D. (3) Draw axial force, shear force and bending moment diagrams of the frame, and indicate key values. (4) Calculate the horizontal displacement at point D. Note that the effect of axial forces in the frame can be neglected. 10 kN 3 kN/m B 1 m A 4 m Fig. Q4 2.5 m

Q4 A frame ABCD as shown in Fig. Q4 is loaded with a uniformly distributed load and a point load. The Young's modulus is 200 GPa, and the second moment of area of all frame members is 250x105 mm². (1) State whether the frame is determinate or indeterminate. If indeterminate, also state the degree of indeterminacy. (2) Determine the support reactions at A and D. (3) Draw axial force, shear force and bending moment diagrams of the frame, and indicate key values. (4) Calculate the horizontal displacement at point D. Note that the effect of axial forces in the frame can be neglected. 10 kN 3 kN/m B 1 m A 4 m Fig. Q4 2.5 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

Related questions

Q: The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam…

A: Given Data: w = 15 kn/m L = 3 m E = 200 Gpa I = 30000 cm4

Q: In the fig. shown, compute the following: (a) Components of the centroid ; ỹ = (b) The total moment…

A: To determine of the coordinates of the centroid and the moment of inertia about the centroidal…

Q: As with two-dimensional problems, a free-body diagram is the first step in solving three-dimensional…

A: Weight of cylinder, Force, To find: Reaction at the journal A.

Q: All the bars of the lattice in the figure have Young's modulus E = 200 [GPa] and section area…

A: find force and displacement Note its indeterminate structure. Note : its long question sir i have…

Q: A B. y Figure Q4: A cantilever beam under non-uniformly distributed load (a) The support reaction…

Q: The degree of static indeterminacy of a rigid jointed frame PQR supported as shown is R EI 145° .90⁰…

A: Given- Rigid jointed frame PQR- It is needed to find the degree of static indeterminacy Ds.

Q: Indicate if the flat lattice of figure 1 is statically determinate, indeterminate or unstable. If…

A: Degree of static indeterminacy is given by Ds= m + r -2j where m=number of members r=external…

Q: (2) 1.250mm Rigid beam 600 mm 300 mm 1,000 mm Figure No. 4

Q: (a) (c) Question 7 The vertical deflection of node C for the truss shown in figure is 2 PL AE PL AE…

Q: Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial…

A: Find: (a) reaction (b) Bending moment diagram (c) Horizontal deflection at C

Q: An equilateral triangulated 2D truss as shown below is subjected to a load 20 kN at B. The force (in…

Q: Find the support reactions in the beam ABC shown in Fig. P.15.2 using the principle of virtual work.…

A: The given figure is shown below:

Q: Select all the correct assumptions about the Moment-Distribution Method. 1. The structures have…

A: Moment distribution method was developed by Hardy cross. This method is used for the analysis of…

Q: Using an approximate analysis of the Vierendeel truss in Figure P13.16, determine the moments and…

A: Solution

Q: B.2. Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given…

Q: Calculate the support reactions of the beam and determine the degree of indeterminacy in the figure.…

Q: Determine component of all forces DEF and ABC for the frames shown in Figure 0.3 m 0.2 m с 0.25 m…

Q: T L/2 The planar structure RST shown in the figure is roller-supported at S and pin-supported at R.…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the…

Q: The degree of static indeterminacy of the plane frame as shown in the figure is Hinge

Q: Determine the support reactions for the depicted frame. Given: α = 30.

Q: Determine the deflections in horizontal and vertical directions at point C and the reactions at…

Q: An equilateral triangulated 2D truss as shown below is subjected to a load 20 kN at B. The force (in…

Q: ar the frame shown, using, the distribution factor of the member BC (DFBC) is: 15 h 20 .514 0.524…

A: To find distribution factor of member BC

Q: (a) Calculate the vertical deflection of the point load in the structure shown below. A B art…

Q: Using Force Method, determine the reactions at fixed support A, and roller at B for the beam shown…

A: Given:- Modulus of elasticity (E) = 29000 ksi IAB = 600 in4 IBC= 300 in4 Moment at free end C = 15…

Q: Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by:…

A: Given Z beam,Moment of Inertia about y-axis, Moment of Inertia about z-axis, Moment in z direction,…

Q: Problem 2. Consider the frame shown below. Take E constant for all three members, and ignore axial…

A: Find: (a) reaction (b) Bending moment diagram (c) Horizontal deflection at C

Q: The beam is subjected to the distributed load and the couple shown. If M is slowly increased…

A: The beam will not contact a lower surface when there is no downward force at B. means, there is no…

Q: A beam is clamped at point A and is simply supported at point B, as shown in It is subjected to a…

Q: Q6.1. For the two-dimensional truss structure shown in the figure, determine all the nodal…

A: A = 80 mm2 E = 200 GPa Determine the support reaction, members force and nodal deflection. Let's…

Q: Q2 / The cross sectional area of each member of the truss as shown in the figure below 1.75 in² and…

A: The cross-sectional area of each member(A)=1.75 in2,Modulus of elasticity(E)=29 x103 ksi,Load(P)=9…

Q: The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and…

A: Introduction- The degree to which a structural part is shifted under a load is referred to as…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Q4 A frame ABCD as shown in Fig. Q4 is loaded with a uniformly distributed load and a point
load. The Young's modulus is 200 GPa, and the second moment of area of all frame members
is 250x105 mm².
(1) State whether the frame is determinate or indeterminate. If indeterminate, also state the
degree of indeterminacy.
(2) Determine the support reactions at A and D.
(3) Draw axial force, shear force and bending moment diagrams of the frame, and indicate key
values.
(4) Calculate the horizontal displacement at point D. Note that the effect of axial forces in the
frame can be neglected.
10 kN
3 kN/m
B
1 m
A
4 m
Fig. Q4
2.5 m

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

Qn part 4

Solution

by Bartleby Expert

SEE SOLUTION

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

(a) (c) Question 7 The vertical deflection of node C for the truss shown in figure is 2 PL AE PL AE 3 PL AE (b) (d) PL 2 AE 60° 60° L 60° P
In the fig. shown, compute the following: (a) Components of the centroid ; = r= 38 in. 16 in. (b) The total moment of inertia with respect to the centroidal ỹ xis 20 in. lý = _in
Analysis of Frames where P= 84
theory of structures
Statics and Rigid Bodies
Given fixed beam using conjugate method determine all reactions at support find the maximum deflection given E=2.15x10^7 kpa and I=0.05 m^4
Q.16 The degree of static indeterminacy of a rigid jointed frame PQR supported as shown is R EI 145° 90° S EI P X
Select all the correct assumptions about the Moment-Distribution Method. 1. The structures have members of constant cross section throughout their respective lengths. That is, the members are prismatic.2. The joints to which members are connected can rotate, but the ends of all members connected to a joint rotate the same amount as the joint. At a joint, there is no rotation of the ends of members relative to each other or to the joint. 3. Axial deformation of members is neglected. 4. The joints at which two or more members frame together do not translate. Excess or insufficient assumptions means wrong.
if u know then answer , other website showing wrong answer
Using the conjugate beam method
The moments of inertia Ixx, Iyy and Ixy with respect to the xy reference frame shownin Figure
Evaluate the degrees of indeterminacy for the frames shown below. (a) (b)