Team Building and Team Work: We strongly encourage you to form Homework teams
of three students. Each team only submits one solution for correction. We expect true
team work, i.e. one where everybody contributes equally to the result. This is testified by

Problem U1. (Range Equation)
a) Assuming steady-level flight and no fuel reserves, estimate the range of a B-777 using
the information given in the lecture notes (and/or on Boeings web page). How well does
this compare to the estimates Boeing publishes on

Problem U1. (Range Equation)
a) Assuming steady-level flight and no fuel reserves, estimate the range of a B-777 using
the information given in the lecture notes (and/or on Boeings web page). How well does
this compare to the estimates Boeing publishes on

Problem U1. (Range Equation)
a) Assuming steady-level flight and no fuel reserves, estimate the range of a B-777 using
the information given in the lecture notes (and/or on Boeings web page). How well does
this compare to the estimates Boeing publishes on

Team Building and Team Work: We strongly encourage you to form Homework teams
of three students. Each team only submits one solution for correction. We expect true
team work, i.e. one where everybody contributes equally to the result. This is testified by

1. Wood beam design problem: The sketch below shows a cantilever beam structure
supporting a punching bag of mass m at its free end (point C). The deadweight of
structural members is neglected in this exercise.
L/2C
B A L/4 P
L
schematic of connection at

Team Building and Team Work: We strongly encourage you to form Homework teams
of three students. Each team only submits one solution for correction. We expect true
team work, i.e. one where everybody contributes equally to the result. This is testified by

1. Derivation: Show the derivation of:
J = det Ffor the special case of a volume change in only two directions. From the lecture
notes, we
derived that the deformed volume d is related to the original volume d by: rrrrrr
d
0
r
d =(FdX )(FdX FdX )=detF[dX

1. Area Moments of Inertia: For the given isosceles triangle cross-section, determine the
following quantities:
a. The zero-order area moment, S (this represents the cross-sectional area). b. The
centroid of the cross-section in the z-axis, z .
c
c. The f

1. Truss structure: The sketch below shows a truss structure constructed with 6 vertical
members and a horizontal rigid bar. The structure of subjected to two loads at points A
and B (thus, this is a force-driven experiment). The top of the truss structur

1. Design of a Highway Sign: The sketch below shows a typical highway sign. The
objective of this problem is to design the column (vertical beam element) holding the sign
using a stress-strength approach. In this problem, we consider only the effect of a

The following set of exercises is designed to familiarize you with the use of energy
bounds in linear elasticity. This problem set is focused on 3D methods and applications to
beam structures and you will be able to apply the techniques you have learned i

The following set of exercises is designed to train you in the use of equilibrium and
strength models for continuum systems. For each exercise, show us how you came to
your answer and result. We highly encourage you to make drawings where appropriate.
1.

Problem U1. (Range Equation)
a) Assuming steady-level flight and no fuel reserves, estimate the range of a B-777 using
the information given in the lecture notes (and/or on Boeings web page). How well does
this compare to the estimates Boeing publishes on