
Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5.5, Problem 48P
To determine
Find the horizontal and vertical components of force at pin C which exert on the member CDE.
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A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
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Figure 3: Built in beam with a varying distributed load
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Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
A cantilevered rectangular prismatic beam has three loads applied. 10,000N in the positive x
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32mm
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15mm
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40mm
750N
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x
10,000N
Figure 2: Idealisation of the structure and the applied loading (right). Photograph of the new product
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Chapter 5 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 5.3 - In each ease, calculate the support reactions and...Ch. 5.3 - Identify the zero-force members in each truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the greatest load P that can be applied...Ch. 5.3 - Identify the zero-force members in the truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...
Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss,...Ch. 5.3 - Determine the force in each member of the truss,...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss in...Ch. 5.3 - Members AB and BC can each support a maximum...Ch. 5.3 - Members AB and BC can each support a maximum...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - If the maximum force that any member can support...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.4 - Determine the force in members BC, CF, and FE and...Ch. 5.4 - Determine the force in members LK, KC, and CD of...Ch. 5.4 - Determine the force in members KJ, KD, and CD of...Ch. 5.4 - Determine the force in members EF, CF, and BC of...Ch. 5.4 - Determine the force in members GF, GD, and CD of...Ch. 5.4 - Determine the force in members DC, HI, and JI of...Ch. 5.4 - Determine the force in members DC, HC and HI of...Ch. 5.4 - Determine the force in members ED, EH, and GH of...Ch. 5.4 - Determine the force in members HG, HE, and DE of...Ch. 5.4 - Determine the force in members CD, HI, and CH of...Ch. 5.4 - Determine the force in members CD, CJ, KJ, and DJ...Ch. 5.4 - Prob. 22PCh. 5.4 - The Howe truss is subjected to the loading shown....Ch. 5.4 - The Howe truss is subjected to the loading shown....Ch. 5.4 - Determine the force in members EF, CF, and BC, and...Ch. 5.4 - Determine the force in members AF, BF, and BC, and...Ch. 5.4 - Prob. 27PCh. 5.4 - Determine the force in members BC, BE, and EF of...Ch. 5.4 - Prob. 29PCh. 5.4 - Determine the force in members CD, CF, and CG and...Ch. 5.4 - Determine the force developed in members FE, EB,...Ch. 5.5 - In each ease, identify any two-force members, and...Ch. 5.5 - F5-13. Determine the force P needed to hold the...Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - If a 100-N force is applied to the handles of the...Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - Determine the force P required to hold the 100-lb...Ch. 5.5 - In each case, determine the force P required to...Ch. 5.5 - Determine the force P required to hold the 50-kg...Ch. 5.5 - Determine the force P required to hold the 150-kg...Ch. 5.5 - Determine the reactions at the supports A, C, and...Ch. 5.5 - Determine the resultant force at pins A, B, and C...Ch. 5.5 - Determine the reactions at the supports at A, E,...Ch. 5.5 - The wall crane supports a load of 700 lb....Ch. 5.5 - The wall crane supports a load of 700 lb....Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - Determine the force in members FD and DB of the...Ch. 5.5 - Determine the force that the smooth 20-kg cylinder...Ch. 5.5 - The three power lines exert the forces shown on...Ch. 5.5 - The pumping unit is used to recover oil. When the...Ch. 5.5 - Determine the force that the jaws J of the metal...Ch. 5.5 - Prob. 47PCh. 5.5 - Prob. 48PCh. 5.5 - Prob. 49PCh. 5.5 - Determine the force created in the hydraulic...Ch. 5.5 - The hydraulic crane is used to lift the 1400-lb...Ch. 5.5 - Determine force P on the cable if the spring is...Ch. 5.5 - Prob. 53PCh. 5.5 - Prob. 54PCh. 5.5 - Prob. 55PCh. 5.5 - Determine the force P on the cable if the spring...Ch. 5.5 - Prob. 57PCh. 5.5 - Prob. 58PCh. 5.5 - Prob. 59PCh. 5.5 - Prob. 60PCh. 5.5 - The platform scale consists of a combination of...Ch. 5 - All the problems solutions must include FBDs....Ch. 5 - Determine the force in each member of the truss...Ch. 5 - Determine the force in member GJ and GC of the...Ch. 5 - Determine the force in members GF, FB, and BC of...Ch. 5 - Prob. 5RPCh. 5 - Determine the horizontal and vertical components...Ch. 5 - Prob. 7RPCh. 5 - Determine the resultant forces at pins B and C on...
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