Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 5.3, Problem 1PP
In each ease, calculate the support reactions and then draw the free-body diagrams of joints A, B, and C of the truss.
Prob. P5-1
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A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
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c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
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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