Member AB has a uniform rectangular cross section of 10 x 24 mm. For the loading P(14kN)shown,a) Find reactions at A and B.b) Determine the normal and shearing stresses at Point K and Point H.α (30˚) Appendix BUseful FormulasBendingP- M2y – MyzIz1Mbh3II ==r4Ox = 7--=EI12AlyPrincipal stressesMyVQ3VTave =ItТтах —2 AOr = -Transformations of plane stressOx + Oy + (OxOy) cos(20) + Txysin(26)22Txy(0x – Oy(*,)sin(20) + Txycos(20)2= -Ox + oy = 0x + OyOx + OyOy+ T,(0x(OxОтах,minTmax =22! (UM? + M? + T2тахTallSpherical Pressure vesselsprprТтах4tOspherical2tDeflection of beamsd²y_M(x)dx2EIM IN2. 60 mmG60 mmHK12 mm12 mm-B40 mm

Member AB has a uniform rectangular cross section of 10 x 24 mm. For the loading P(14kN) shown, a) Find reactions at A and B. b) Determine the normal and shearing stresses at Point K and Point H. α (30˚)

Member AB has a uniform rectangular cross section of 10 x 24 mm. For the loading P(14kN) shown, a) Find reactions at A and B. b) Determine the normal and shearing stresses at Point K and Point H. α (30˚)

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: Q1: Determine the reactions of the truss shown in Fig, using the method of consistent deformations.…

A: Given -

Q: = 1.5x 1.225m P1 The steel plate is 0.1 m thick and has a density of 7500kg/m'. Determine the…

A: An object center point is referred as centroid. The centroid of a triangle is the point where the…

Q: 1. In the structure below, members BF and AE are connected with a pin at D. Find the minimum…

Q: 12 kN/m 23 kN BO 20 t 15t El = Constant

A: Analysis of the propped cantilever beam: Find the degree of static indeterminacy Find the…

Q: Analyre the trusses shown.EA constant 12 kN 10 KN 2 im 2 m 2 m

Q: Q1. 1.) Determine the state of stresses at an orientation of 20 degree clockwise from the element…

Q: 2. Determine the shearing stress in each of the four walls of a portion of a structural aluminum…

A: Given, Torque =3 kN-m=26.55 kip-in Dimension=100×51 mm=3.93×2 in Wall thickness=4 mm=0.15 in.

Q: Solve for the support reactions at A ond B

A: Given:- Overhanging beam To find:- Support reactions

Q: 300 mm is applied to the bell crank. B -450 mm- (a) Determine the normal stress developed in e 10mm…

Q: 1. Determine the magnitude of the pin reaction at B by recognizing that BD is a two-force member. -…

Q: What is the reaction at support C for the beam shown and a settlement of 25 mm at support C

A: Given; Settlement at C=25mm =0.025m E=70GPaE=70×109 N/m2E=70×106 kN/m2I=800×106 mm4I=8×10-4 m4…

Q: The triangular solid plate ABC is restrained by rod (1) at A and pin support at B. After applying…

Q: etermine the stress at the middle of rod BC in MPa for a given truss structure. If the diameter of…

A: Given Data: Diameter of rod BC =13mmP1=24kNP2=36kNb=2.666666666667=2.7mTo determine: stress at the…

Q: 1. Determine the support reactions at the pin A and the reaction at B. Given the weight at G is…

Q: 15 ft 2.5 k/ft B A El= constant 15 ft 50 k-ft с

Q: Determine the reactions at the supports and forces at hinge B acting on member CBA. Round off to…

A: To find reaction at support and tension in cable AE

Q: 2. Determine the reactions at the supports by Method of Consistent Deformation. Consider vertical…

Q: 3. The steel plate is 0.3 m thick and has a density of 7850 kg/m³. Determine the location of its…

A: Determine the location of its center of gravity. Also find the reactions at pin and roller support.

Q: 600 kN m The member BC is subjected to the distributed load as shown in the figure. Determine the…

A: To find Reactions at A and C

Q: Determine the support reactions and internal member forces for the structure. E=200GPa A=2500 sqmm…

Q: A Fer 19 kN C A 4m 2m 8M+ 8m For the truss shown, determine the reactions and ba forces produced by…

Q: 2. The pins on the frame at B and C each have a diameter of 0.25 in. The pins are subjected to…

Q: The 450-kg uniform l-beam supports the load shown. Determine the reactions at the supports. -5.6 m-…

Q: Solve the reactions by consistent deformation/superposition. Provide illustration and label…

A: Given: Required: Support reaction

Q: Analyze For the plane frame with E = 150 GPa and I = 400(106) mmª constant for all members.…

Q: The bar is subjected to a uniform temperature decrease, a 7 kN load at B, and an applied…

A: A beam is given we need to find out reaction at A

Q: Determine the static (internal and external) and kinematic indeterminacy of the structures shown in…

Q: 933. For the state of stress shown in Fig. P-933, determine normal and shearing stresses on the…

Q: 2. Determine the reactions and draw the shear and moment diagrams for the structures shown using…

A: Let,RA=vertical reaction at support ARC=vertical reaction at support CRD=vertical reaction at…

Q: Classify each of the structures as statically determinate, indeterminate or unstable. If…

A: Diagram (d) and (e) are provided. We have to find out determinacy/Indeterminacy and stability of the…

Q: The split ring shown has an inner radius r1 = 0.6 in. and a circular cross section of diameter d =…

Q: Determine the stress at the middle of rod BC in MPa for a given truss structure. If the diameter of…

A: Draw the figure.

Q: Q4) Determine the maximum tensile and compressive bending stress in the beam shown in Figure (4), if…

Q: 3 ft 100 lb 3 ft- 200 lb-ft 2 ft 000 Az □ Ay DO 000 NA along the rod MA B₂ By Fa perpendicular to…

A: Step 1:Step 2:As shown in free body diagram, there will be three support reactions. Step 3:At point…

Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

Member AB has a uniform rectangular cross section of 10 x 24 mm. For the loading P(14kN)
shown,
a) Find reactions at A and B.
b) Determine the normal and shearing stresses at Point K and Point H.

α (30˚)

Appendix B
Useful Formulas
Bending
P- M2y – Myz
Iz
1
M
bh3
I
I ==r
4
Ox = 7-
-=
EI
12
A
ly
Principal stresses
My
VQ
3V
Tave =
It
Ттах —
2 A
Or = -
Transformations of plane stress
Ox + Oy + (OxOy) cos(20) + Txysin(26)
2
2
Txy
(0x – Oy
(*,)
sin(20) + Txycos(20)
2
= -
Ox + oy = 0x + Oy
Ox + Oy
Oy
+ T,
(0x
(Ox
Отах,min
Tmax =
2
2
! (UM? + M? + T2
тах
Tall
Spherical Pressure vessels
pr
pr
Ттах
4t
Ospherical
2t
Deflection of beams
d²y_M(x)
dx2
EI
M IN
2.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 4 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

1. The member is loaded as shown. The diameter of the member is 32 mm. 1) Calculate all internal loadings on the cross section through the point A. 2) Calculate the stress at point A due to each internal loading. 0.4 m A Rigid Wall 1000 N 300 Nm 2000 N
Determine the maximum shear in kips for the beams shown below using the method of consistent deformations. Select the reaction at the interior support to b the redundant. two decimal
GIVEN: X=195 Y=22 A=8 B=2 C=2
For the pin jointed truss ABCD structure shown in Figure Q1, compute the reactions and the forces of the members using Flexibility Method. Assume E = 200KN/mm and A for all the members are 1200mm'. 40kN B. 30 3m 4m Figure Q1
SUPERPOSITION METHOD
If the supports at A and C are flexible and have a stiffness k, determine the support reactions at A and C. The material has a modulus of elasticity of E.
Determine the reactions by the method of consistency deformations. Select the reaction at the roller support to be the redundant. 90KN 60KN A 3m 3m D В 3m C E = 200 GPa I= 3.250x10^6 mm4
Determine all the reactions of the given structure. The pin joint at D acts as a hinge. Given: X= 21 kN. B A X KN I D hinge 4@3m 12 m = H E F T 2 m = The magnitude of the reaction at A is RAX The magnitude of the reaction at A is RAY= The magnitude of the reaction at G is RGX= 18 KN 2 m kN, and the direction is (Click to select) kN, and the direction is (Click to select) kN, and the direction is (Click to select)
Q3) Determine the moment of the force about point O. show in Fig (3) Neglect the thickness of the member? 40 N 30 N J 100 mm 200 mm Figure (3) 50 N
2. Determine the reactions and draw the shear and moment diagrams for the structures shown using method of consistent deformations. 37 k 3 k/ft ..... 10 ft 5 ft 20 t El = Constant 12 kN/m 23 kN BO 20 ft 15ft El = Constant