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Structural Analysis, Si Edition (mindtap Course List)
6th Edition
ISBN: 9781337630948
Author: KASSIMALI, Aslam
Publisher: Cengage Learning
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Question
Chapter 9, Problem 20P
To determine
Find the absolute maximum bending moment in an 8 m long simply supported beam.
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The simply supported beam in Fig QB1a is made by gluing two pieces of wood
of rectangular cross-section as shown in Fig QB1b, i.e. the top board (flange) is
glued onto the bottom board of the web. The supports at A and B exert only
vertical reactions.
150mm
T
30mm
A 4m
C
30mm
150mm
6.5 kN/m
Fig QB1a
4m B
y = 0.120m
Fig QB1b
Calculate the support reaction forces, and hence sketch shear and
bending moment diagrams indicating the values at A, B, C. Describe how
shear force and bending moment vary along the beam;
Compute the moment of inertia of the section about the neutral axis. The
position of the neutral axis is y = 0.120m as shown in Figure QB1b;
Determine the maximum shear stress in the glue necessary to hold the
beam together along the seam where they are joined.
5. For frame presented in Fig. 5, the distances are in meters, calculate the reactions at the two
supports under the applied load.
450
1 kN/m
3
TT
mmmmm
424
Fig. 5
6 kN
2
+-+-+-
4. For frame presented in Fig. 4, calculate the reactions at the two supports under the applied
load with spacing are in terms of meters.
T
+
X
m
Y₂T
3
b
mi
Yo
Fig. 4
-Xb
4 kN
-3-1.5-1
Chapter 9 Solutions
Structural Analysis, Si Edition (mindtap Course List)
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- 6. For frame presented in Fig. 6, calculate the reactions at the two supports under the applied load with distances apart are in terms of meters. 2 kN 1 kN/m 4 kN/m 13-1-3-2 Fig. 6 5 kN T 1.5 1.5arrow_forward4. For beam presented in Fig. 4, calculate the reactions at the two supports under the applied load with given distance apart are in meters. 4 kN/m 12 kN 4.5 KN X₁ 3 Ya 3 16 kN.m -32- Fig. 4 Ya 4 kN 2 kN/m +2-1+arrow_forwardThe beam shown in Fig. P.13.26 is simply supported at each end and is provided with an additional support at mid-span. If the beam carries a uniformly distributed load of intensity w and has a flexural rigidity EI, use the principle of superposition to determine the reactions in the supports. Ans. SwL14 (central support), 3wL/8 (outside supports). 100 mm 10 mm 10 mm 200 mm FIGURE P.13.26 10 mmarrow_forward
- Find the support reactions A and B at static equilibrium for the loaded beam showing below in fig 4.1arrow_forwardEach of the three beams shown in Fig.Q3 has been provided with supports imposing more constraints on movement than the minimum necessary to achieve static equilibrium. The built in supports prevent all lateral movements and rotations, but do not resist longitudinal movement. Beam (a) has a simple support at the right hand end which does not move vertically. The right hand support for beam (b) prevents a change of slope but does not exert a vertical force. Each beam is made from titanium, for which Young's modulus is 106GPa and the yield stress in 780MPa. The cross-section is square and tubular, having outside dimensions of 12mm and a wall thickness of 1.5mm. Loading. is parallel to the sides and acts through the centroid. For each beam: i. calculate the support forces and moments ii. determine an expression for the bending moment at every point in the beam and draw the bending moment diagram iii. determine an expression for the deflection curve; draw the curve and state the maximum…arrow_forwardQ2/Determine the reactions and the force in each member of the trusses shown in Fig 2 using the metho of consistent deformations. D (5000 mm) (5000 unm) 3 m (4000 mm) C (5000 mm) B (5000 mm) 100 kN 2 pancls at 4 m 8 m E= 200 GPa mm-) 000 (日 1000arrow_forward
- a. A beam ABCDE is continuous over four supports and carries the loads shown in Fig. 1 given below. Determine the values of the fixing moments at each support. 20 kN 10 kN 1 kN/m C 3kN/m D VE В A 00000000008000 5m 3m 4m RB Rc Rp RA Fig. 1.arrow_forwardDetermine the magnitudes of the maximum tensile and compressive normal stresses on the transverse plane B-B in the straight portion of the structure shown in Fig. P7-184. The member is braced perpendicular to the plane of symmetry. 100 mm 50 mm 75 mm 50 mm H Section B-B -150 mm ANSWER: OL= 25.9MPa,oR= -28.5 MPa 3 4 50 KN -750 mm B C 1200 mm D Barrow_forward6 Beam Deflections 280 696. In Fig. P-696, determine the value of P for which the Ans. P = 400 N deflection under P will be zero. P 800 N/m 3 m 1.5 m R₁ R2 Figure P-696. 697. Two identical cantilever beams in contact at their ends support a distributed load over one of them as shown in Fig. P-69% Determine the restraining moment at each wall. - 3wL2/16; Mg = = 5wL²/16 Ans. MA w N/m B L L Figure P-697. 698. The beam in Fig. P-698 is supported at the left end by spring which has a spring constant of 60 kN/m. For the beam, E-M x 10 N/m² and I = 60 x 10 mm. Compute the deflection of the Ans. 8 = 13.6m spring. 4 m 800 N/m ( t T ir barrow_forward
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