Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 4.40SP
Calculate the reaction at each support for the beam shown. Neglect the weight of the beam.
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Please answer with the sketches.
The beam is made of elastic perfectly plastic material. Determine the shape factor for the cross
section of the beam (Figure Q3). [Take σy = 250 MPa, yNA = 110.94 mm, I = 78.08 x 106 mm²]
y
25 mm
75 mm
I
25 mm
200 mm
25 mm
125
Figure Q3
A beam of the cross section shown in Figure Q3 is made of a steel that is assumed to be elastic-
perfectectly plastic material with E = 200 GPa and σy = 240 MPa. Determine:
i.
The shape factor of the cross section
ii.
The bending moment at which the plastic zones at the top and bottom of the bar are 30
mm thick.
15 mm
30 mm
15 mm
30 mm
30 mm
30 mm
Chapter 4 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 4 - and 4.2 Sketch free-body diagram for the members...Ch. 4 - Sketch free-body diagram for the members shown.Ch. 4 - A steel cylinder having a mass of 120 kgis...Ch. 4 - A 50-lb block is supported by a pin support and a...Ch. 4 - A cylinder weighing 200 lb is supported on an...Ch. 4 - A weight W is supported by a flexible cable and an...Ch. 4 - The ladder shown is supported by a smooth...Ch. 4 - What horizontal force F applied at the center of...Ch. 4 - Calculate the force in cable AB and the angle (...Ch. 4 - Calculate the horizontal force F that should be...
Ch. 4 - Calculate the reactions of the two smooth inclined...Ch. 4 - Calculate the force in each cable for the...Ch. 4 - Three members of a truss intersect at joint B as...Ch. 4 - Four concurrent forces in equilibrium act at point...Ch. 4 - The beam shown carries vertical concentrated...Ch. 4 - Find the reactions at A and B for the beam shown....Ch. 4 - A simply supported beam spans 10 m. The beam...Ch. 4 - The beam shown carries vertical loads. Calculate...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the reactions at A and B for the beam...Ch. 4 - Calculate the reactions at A and B for the beam...Ch. 4 - A 12-ft simple beam is supported at each end. It...Ch. 4 - The beam shown carries vertical loads as...Ch. 4 - Determine the reactions for the beam shown. The...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the wall reactions for the cantilever...Ch. 4 - Determine the reactions at supports A and B of the...Ch. 4 - A mass M of 300 kg is supported by a boom, as...Ch. 4 - Rework Problem 4.28 assuming that point D has been...Ch. 4 - Calculate the force in the tie rod BC and the...Ch. 4 - The davit shown is used in pairs for...Ch. 4 - For the following computer problems, any...Ch. 4 - For the following computer problems, any...Ch. 4 - For the following computer problems, any...Ch. 4 - For the structure shown, draw free-body diagram...Ch. 4 - A 1200-lb load is supported by a cable that runs...Ch. 4 - For the pin-connected frame shown, sketch a...Ch. 4 - For the concurrent force system shown, calculate...Ch. 4 - A strut having a mass of 40 kg/m is supported by a...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - Calculate the reaction at each support for the...Ch. 4 - A beam supports a nonuniformly distributed load as...Ch. 4 - Calculate the reactions at each support for the...Ch. 4 - Compute reactions at each support for the beam...Ch. 4 - A rod of uniform cross section weighs 4 lb/ft and...Ch. 4 - A 12-ft-long weightiness member supports two...Ch. 4 - A uniform rod AB, having a weight of 5.00 lb and a...Ch. 4 - The plastic barrel tent anchor of Problem 2.11...Ch. 4 - Compute the reactions at A and B for the bracket...Ch. 4 - The truss shown is supported by a pin at A and a...Ch. 4 - Find the reactions at supports A and B for the...Ch. 4 - Find the reactions at supports A and B for the...Ch. 4 - Determine the reactions at A and B for the truss...Ch. 4 - A 40-ft ladder weighing 130 lb is pin-connected to...Ch. 4 - The frame shown is pin-connected at point A and...Ch. 4 - Prob. 4.56SPCh. 4 - A horizontal beam is pin-connected to a wall at...Ch. 4 - Calculate the force in the cable for the structure...Ch. 4 - The Thenard shutter dam shown was originally...Ch. 4 - An inclined railway can be used to lift heavy...Ch. 4 - Two cylinders are supported in a box, as shown....
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